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DCDS-B Flyer: showing all essential information of the journal.
Centered around dynamics, Discrete & Continuous Dynamical Systems - Series B (DCDS-B) is an interdisciplinary journal focusing on the interactions between mathematical modeling, analysis and scientific computations. The mission of the Journal is to bridge mathematics and sciences by publishing high quality research papers that augment the fundamental ways we interpret, model and predict scientific phenomena. The Journal covers a broad range of areas including chemical, engineering, physical and life sciences. A more detailed indication is given by the subject interests of the members of the Editorial Board.


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Preface: Special issue on nonlinear dynamical systems in economic modeling
Laura Gardini and Iryna Sushko
2021, 26(11) : i-iv doi: 10.3934/dcdsb.2021241 +[Abstract](7777) +[HTML](27) +[PDF](82.05KB)
Firms, technology, training and government fiscal policies: An evolutionary approach
Elvio Accinelli, Filipe Martins, Humberto Muñiz, Bruno M. P. M. Oliveira and Alberto A. Pinto
2021, 26(11) : 5723-5754 doi: 10.3934/dcdsb.2021180 +[Abstract](338) +[HTML](138) +[PDF](494.88KB)
Environmental degradation and indeterminacy of equilibrium selection
Angelo Antoci, Marcello Galeotti and Mauro Sodini
2021, 26(11) : 5755-5767 doi: 10.3934/dcdsb.2021179 +[Abstract](221) +[HTML](121) +[PDF](325.3KB)
An optimal control problem of monetary policy
Andrea Bacchiocchi and Germana Giombini
2021, 26(11) : 5769-5786 doi: 10.3934/dcdsb.2021224 +[Abstract](270) +[HTML](93) +[PDF](447.22KB)
Water taxes and fines imposed on legal and illegal firms exploiting groudwater
Marta Biancardi, Lucia Maddalena and Giovanni Villani
2021, 26(11) : 5787-5806 doi: 10.3934/dcdsb.2021008 +[Abstract](665) +[HTML](329) +[PDF](1356.83KB)
Dynamical analysis of a banking duopoly model with capital regulation and asymmetric costs
Serena Brianzoni and Giovanni Campisi
2021, 26(11) : 5807-5825 doi: 10.3934/dcdsb.2021116 +[Abstract](581) +[HTML](282) +[PDF](3960.98KB)
Population dynamics and economic development
Andrea Caravaggio, Luca Gori and Mauro Sodini
2021, 26(11) : 5827-5848 doi: 10.3934/dcdsb.2021178 +[Abstract](352) +[HTML](137) +[PDF](560.59KB)
Transitions between metastable long-run consumption behaviors in a stochastic peer-driven consumer network
Jochen Jungeilges, Trygve Kastberg Nilssen, Tatyana Perevalova and Alexander Satov
2021, 26(11) : 5849-5871 doi: 10.3934/dcdsb.2021232 +[Abstract](163) +[HTML](52) +[PDF](637.07KB)
Public debt dynamics under ambiguity by means of iterated function systems on density functions
Davide La Torre, Simone Marsiglio, Franklin Mendivil and Fabio Privileggi
2021, 26(11) : 5873-5903 doi: 10.3934/dcdsb.2021070 +[Abstract](682) +[HTML](260) +[PDF](1759.51KB)
Stability switching and its directions in cournot duopoly game with three delays
Akio Matsumoto and Ferenc Szidarovszky
2021, 26(11) : 5905-5923 doi: 10.3934/dcdsb.2021069 +[Abstract](561) +[HTML](275) +[PDF](1679.39KB)
On dynamics in a medium-term Keynesian model
Hiroki Murakami and Rudolf Zimka
2021, 26(11) : 5925-5940 doi: 10.3934/dcdsb.2021145 +[Abstract](471) +[HTML](203) +[PDF](674.49KB)
Speculative behavior and chaotic asset price dynamics: On the emergence of a bandcount accretion bifurcation structure
Anastasiia Panchuk and Frank Westerhoff
2021, 26(11) : 5941-5964 doi: 10.3934/dcdsb.2021117 +[Abstract](609) +[HTML](237) +[PDF](4057.6KB)
A viral transmission model for foxes-cottontails-hares interaction: Infection through predation
Simona Viale, Elisa Caudera, Sandro Bertolino and Ezio Venturino
2021, 26(11) : 5965-5997 doi: 10.3934/dcdsb.2021158 +[Abstract](371) +[HTML](177) +[PDF](661.27KB)
A three-country Kaldorian business cycle model with fixed exchange rates: A continuous time analysis
Rudolf Zimka, Michal Demetrian, Toichiro Asada and Toshio Inaba
2021, 26(11) : 5999-6015 doi: 10.3934/dcdsb.2021143 +[Abstract](387) +[HTML](244) +[PDF](960.49KB)
Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum
Tong Tang and Jianzhu Sun
2020doi: 10.3934/dcdsb.2020377 +[Abstract](702) +[HTML](332) +[PDF](367.76KB)
System specific triangulations for the construction of CPA Lyapunov functions
Peter Giesl and Sigurdur Hafstein
2020doi: 10.3934/dcdsb.2020378 +[Abstract](777) +[HTML](335) +[PDF](9135.26KB)
Feedback synchronization of FHN cellular neural networks
Leslaw Skrzypek and Yuncheng You
2020doi: 10.3934/dcdsb.2021001 +[Abstract](674) +[HTML](334) +[PDF](302.95KB)
Global existence and optimal decay rate of solutions to hyperbolic chemotaxis system in Besov spaces
Xing Wu and Keqin Su
2020doi: 10.3934/dcdsb.2021002 +[Abstract](681) +[HTML](326) +[PDF](323.06KB)
Dynamic transitions of the Swift-Hohenberg equation with third-order dispersion
Kevin Li
2020doi: 10.3934/dcdsb.2021003 +[Abstract](605) +[HTML](347) +[PDF](616.18KB)
On some reaction-diffusion equations generated by non-domiciliated triatominae, vectors of Chagas disease
Nabahats Dib-Baghdadli, Rabah Labbas, Tewfik Mahdjoub and Ahmed Medeghri
2020doi: 10.3934/dcdsb.2021004 +[Abstract](947) +[HTML](357) +[PDF](431.96KB)
Existence of periodic wave trains for an age-structured model with diffusion
Zhihua Liu, Yayun Wu and Xiangming Zhang
2020doi: 10.3934/dcdsb.2021009 +[Abstract](816) +[HTML](347) +[PDF](683.26KB)
Threshold dynamics and sensitivity analysis of a stochastic semi-Markov switched SIRS epidemic model with nonlinear incidence and vaccination
Xin Zhao, Tao Feng, Liang Wang and Zhipeng Qiu
2020doi: 10.3934/dcdsb.2021010 +[Abstract](795) +[HTML](439) +[PDF](943.99KB)
Global dynamics of a chemotaxis model with signal-dependent diffusion and sensitivity
Hui Zhao, Zhengrong Liu and Yiren Chen
2020doi: 10.3934/dcdsb.2021011 +[Abstract](672) +[HTML](378) +[PDF](408.14KB)
Stochastic and deterministic SIS patch model
Ténan Yeo
2020doi: 10.3934/dcdsb.2021012 +[Abstract](644) +[HTML](321) +[PDF](359.76KB)
Multiple spatiotemporal coexistence states and Turing-Hopf bifurcation in a Lotka-Volterra competition system with nonlocal delays
Xianyong Chen and Weihua Jiang
2020doi: 10.3934/dcdsb.2021013 +[Abstract](708) +[HTML](351) +[PDF](1242.73KB)
The global attractor for the wave equation with nonlocal strong damping
Biyue Chen, Chunxiang Zhao and Chengkui Zhong
2021doi: 10.3934/dcdsb.2021015 +[Abstract](762) +[HTML](307) +[PDF](388.22KB)
Complex dynamics of a SIRS epidemic model with the influence of hospital bed number
Yancong Xu, Lijun Wei, Xiaoyu Jiang and Zirui Zhu
2021doi: 10.3934/dcdsb.2021016 +[Abstract](746) +[HTML](408) +[PDF](1166.08KB)
Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion
Mohammad Ghani, Jingyu Li and Kaijun Zhang
2021doi: 10.3934/dcdsb.2021017 +[Abstract](1146) +[HTML](412) +[PDF](299.6KB)
Uniform attractors and their continuity for the non-autonomous Kirchhoff wave models
Yanan Li, Zhijian Yang and Na Feng
2021doi: 10.3934/dcdsb.2021018 +[Abstract](645) +[HTML](300) +[PDF](365.82KB)
Weak time discretization for slow-fast stochastic reaction-diffusion equations
Chungang Shi, Wei Wang and Dafeng Chen
2021doi: 10.3934/dcdsb.2021019 +[Abstract](654) +[HTML](339) +[PDF](368.41KB)
Limiting behavior of unstable manifolds for spdes in varying phase spaces
Lin Shi, Dingshi Li and Kening Lu
2021doi: 10.3934/dcdsb.2021020 +[Abstract](648) +[HTML](343) +[PDF](474.46KB)
Singularity formation to the nonhomogeneous magneto-micropolar fluid equations
Xin Zhong
2021doi: 10.3934/dcdsb.2021021 +[Abstract](684) +[HTML](310) +[PDF](328.82KB)
Uniform stabilization of 1-D Schrödinger equation with internal difference-type control
Xiaorui Wang, Genqi Xu and Hao Chen
2021doi: 10.3934/dcdsb.2021022 +[Abstract](669) +[HTML](310) +[PDF](520.74KB)
Global attractors of two layer baroclinic quasi-geostrophic model
Yanhong Zhang
2021doi: 10.3934/dcdsb.2021023 +[Abstract](583) +[HTML](312) +[PDF](330.84KB)
On the dimension of global attractor for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions
Fang Li and Bo You
2021doi: 10.3934/dcdsb.2021024 +[Abstract](631) +[HTML](322) +[PDF](374.69KB)
The multi-patch logistic equation
Bilel Elbetch, Tounsia Benzekri, Daniel Massart and Tewfik Sari
2021doi: 10.3934/dcdsb.2021025 +[Abstract](742) +[HTML](321) +[PDF](408.67KB)
Periodic, almost periodic and almost automorphic solutions for SPDEs with monotone coefficients
Mengyu Cheng and Zhenxin Liu
2021doi: 10.3934/dcdsb.2021026 +[Abstract](650) +[HTML](284) +[PDF](475.09KB)
Dynamics of a vector-host model under switching environments
Harrison Watts, Arti Mishra, Dang H. Nguyen and Tran D. Tuong
2021doi: 10.3934/dcdsb.2021029 +[Abstract](723) +[HTML](332) +[PDF](632.32KB)
Initial value problem for fractional Volterra integro-differential equations with Caputo derivative
Huy Tuan Nguyen, Huu Can Nguyen, Renhai Wang and Yong Zhou
2021doi: 10.3934/dcdsb.2021030 +[Abstract](762) +[HTML](316) +[PDF](1356.88KB)
First Return Time to the contact hyperplane for $ N $-degree-of-freedom vibro-impact systems
Huong Le Thi, Stéphane Junca and Mathias Legrand
2021doi: 10.3934/dcdsb.2021031 +[Abstract](546) +[HTML](316) +[PDF](1480.08KB)
Asymptotic behaviour of the solutions for a weakly damped anisotropic sixth-order Schrödinger type equation in $ \mathbb{R}^2 $
Brahim Alouini
2021doi: 10.3934/dcdsb.2021032 +[Abstract](590) +[HTML](297) +[PDF](571.06KB)
Approximate dynamics of a class of stochastic wave equations with white noise
Guanggan Chen, Qin Li and Yunyun Wei
2021doi: 10.3934/dcdsb.2021033 +[Abstract](621) +[HTML](291) +[PDF](515.85KB)
Modeling, approximation, and time optimal temperature control for binder removal from ceramics
Carmen Chicone, Stephen J. Lombardo and David G. Retzloff
2021doi: 10.3934/dcdsb.2021034 +[Abstract](558) +[HTML](307) +[PDF](1153.52KB)
Monotonic and nonmonotonic immune responses in viral infection systems
Shaoli Wang, Huixia Li and Fei Xu
2021doi: 10.3934/dcdsb.2021035 +[Abstract](678) +[HTML](310) +[PDF](2713.27KB)
Existence of $ \mathcal{D}- $pullback attractor for an infinite dimensional dynamical system
Mustapha Yebdri
2021doi: 10.3934/dcdsb.2021036 +[Abstract](544) +[HTML](300) +[PDF](390.11KB)
Analysis of an age-structured model for HIV-TB co-infection
Zhong-Kai Guo, Hai-Feng Huo and Hong Xiang
2021doi: 10.3934/dcdsb.2021037 +[Abstract](682) +[HTML](322) +[PDF](607.46KB)
The stability and bifurcation of homogeneous diffusive predator–prey systems with spatio–temporal delays
Yiwen Tao and Jingli Ren
2021doi: 10.3934/dcdsb.2021038 +[Abstract](594) +[HTML](329) +[PDF](310.78KB)
Phase portraits of the Higgins–Selkov system
Jaume Llibre and Marzieh Mousavi
2021doi: 10.3934/dcdsb.2021039 +[Abstract](701) +[HTML](373) +[PDF](422.07KB)
Random perturbations of an eco-epidemiological model
Lopo F. de Jesus, César M. Silva and Helder Vilarinho
2021doi: 10.3934/dcdsb.2021040 +[Abstract](551) +[HTML](301) +[PDF](342.26KB)
Strong solutions to a fluid-particle interaction model with magnetic field in $ \mathbb{R}^2 $
Shijin Ding, Bingyuan Huang and Xiaoyan Hou
2021doi: 10.3934/dcdsb.2021042 +[Abstract](586) +[HTML](316) +[PDF](533.92KB)
Behavior of solution of stochastic difference equation with continuous time under additive fading noise
Leonid Shaikhet
2021doi: 10.3934/dcdsb.2021043 +[Abstract](564) +[HTML](307) +[PDF](125.57KB)
Global boundedness for a $ \mathit{\boldsymbol{N}} $-dimensional two species cancer invasion haptotaxis model with tissue remodeling
Feng Dai and Bin Liu
2021doi: 10.3934/dcdsb.2021044 +[Abstract](567) +[HTML](364) +[PDF](487.19KB)
Global existence in a chemotaxis system with singular sensitivity and signal production
Guoqiang Ren and Heping Ma
2021doi: 10.3934/dcdsb.2021045 +[Abstract](680) +[HTML](330) +[PDF](381.09KB)
On a quasilinear fully parabolic two-species chemotaxis system with two chemicals
Xu Pan and Liangchen Wang
2021doi: 10.3934/dcdsb.2021047 +[Abstract](650) +[HTML](490) +[PDF](452.45KB)
Persistence of mosquito vector and dengue: Impact of seasonal and diurnal temperature variations
Naveen K. Vaidya and Feng-Bin Wang
2021doi: 10.3934/dcdsb.2021048 +[Abstract](696) +[HTML](354) +[PDF](692.85KB)
Limit cycles and global dynamic of planar cubic semi-quasi-homogeneous systems
Zecen He, Haihua Liang and Xiang Zhang
2021doi: 10.3934/dcdsb.2021049 +[Abstract](545) +[HTML](301) +[PDF](1038.75KB)
Asymptotic behavior for stochastic plate equations with memory and additive noise on unbounded domains
Xiaobin Yao
2021doi: 10.3934/dcdsb.2021050 +[Abstract](475) +[HTML](301) +[PDF](461.18KB)
Existence of global weak solutions of $ p $-Navier-Stokes equations
Jian-Guo Liu and Zhaoyun Zhang
2021doi: 10.3934/dcdsb.2021051 +[Abstract](664) +[HTML](287) +[PDF](381.15KB)
Global wellposedness of vacuum free boundary problem of isentropic compressible magnetohydrodynamic equations with axisymmetry
Kunquan Li and Yaobin Ou
2021doi: 10.3934/dcdsb.2021052 +[Abstract](631) +[HTML](294) +[PDF](516.33KB)
Dynamics of Timoshenko system with time-varying weight and time-varying delay
Carlos Nonato, Manoel Jeremias dos Santos and Carlos Raposo
2021doi: 10.3934/dcdsb.2021053 +[Abstract](615) +[HTML](310) +[PDF](382.21KB)
A learning-enhanced projection method for solving convex feasibility problems
Janosch Rieger
2021doi: 10.3934/dcdsb.2021054 +[Abstract](470) +[HTML](292) +[PDF](1427.46KB)
Stabilization by intermittent control for hybrid stochastic differential delay equations
Wei Mao, Yanan Jiang, Liangjian Hu and Xuerong Mao
2021doi: 10.3934/dcdsb.2021055 +[Abstract](649) +[HTML](333) +[PDF](365.0KB)
Asymptotics of singularly perturbed damped wave equations with super-cubic exponent
Dandan Li
2021doi: 10.3934/dcdsb.2021056 +[Abstract](490) +[HTML](286) +[PDF](349.5KB)
A meshless collocation method with a global refinement strategy for reaction-diffusion systems on evolving domains
Siqing Li and Zhonghua Qiao
2021doi: 10.3934/dcdsb.2021057 +[Abstract](548) +[HTML](306) +[PDF](2343.16KB)
Stability analysis and optimal control of production-limiting disease in farm with two vaccines
Yue Liu and Wing-Cheong Lo
2021doi: 10.3934/dcdsb.2021058 +[Abstract](647) +[HTML](339) +[PDF](726.46KB)
Qualitative analysis of integro-differential equations with variable retardation
Martin Bohner and Osman Tunç
2021doi: 10.3934/dcdsb.2021059 +[Abstract](591) +[HTML](444) +[PDF](503.55KB)
Periodicity and stability analysis of impulsive neural network models with generalized piecewise constant delays
Kuo-Shou Chiu
2021doi: 10.3934/dcdsb.2021060 +[Abstract](633) +[HTML](324) +[PDF](2647.31KB)
Bifurcation analysis in a delayed toxic-phytoplankton and zooplankton ecosystem with Monod-Haldane functional response
Zhichao Jiang, Zexian Zhang and Maoyan Jie
2021doi: 10.3934/dcdsb.2021061 +[Abstract](565) +[HTML](320) +[PDF](2829.38KB)
Evaluating vaccination effectiveness of group-specific fractional-dose strategies
Zhimin Chen, Kaihui Liu and Xiuxiang Liu
2021doi: 10.3934/dcdsb.2021062 +[Abstract](579) +[HTML](303) +[PDF](721.28KB)
Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces
Lu Zhang, Aihong Zou, Tao Yan and Ji Shu
2021doi: 10.3934/dcdsb.2021063 +[Abstract](518) +[HTML](286) +[PDF](428.83KB)
On the Lorenz '96 model and some generalizations
John Kerin and Hans Engler
2021doi: 10.3934/dcdsb.2021064 +[Abstract](540) +[HTML](308) +[PDF](1421.34KB)
Single-target networks
Gheorghe Craciun, Jiaxin Jin and Polly Y. Yu
2021doi: 10.3934/dcdsb.2021065 +[Abstract](532) +[HTML](263) +[PDF](430.86KB)
Input-to-state stability of infinite-dimensional stochastic nonlinear systems
Pengfei Wang, Mengyi Zhang and Huan Su
2021doi: 10.3934/dcdsb.2021066 +[Abstract](703) +[HTML](285) +[PDF](309.12KB)
A reaction-diffusion-advection two-species competition system with a free boundary in heterogeneous environment
Bo Duan and Zhengce Zhang
2021doi: 10.3934/dcdsb.2021067 +[Abstract](651) +[HTML](265) +[PDF](372.72KB)
Stability of hydrostatic equilibrium to the 2D fractional Boussinesq equations
Liangliang Ma
2021doi: 10.3934/dcdsb.2021068 +[Abstract](553) +[HTML](286) +[PDF](342.07KB)
Further results on stabilization of stochastic differential equations with delayed feedback control under $ G $-expectation framework
Wensheng Yin, Jinde Cao and Guoqiang Zheng
2021doi: 10.3934/dcdsb.2021072 +[Abstract](576) +[HTML](274) +[PDF](326.69KB)
A fast high order method for time fractional diffusion equation with non-smooth data
Haili Qiao and Aijie Cheng
2021doi: 10.3934/dcdsb.2021073 +[Abstract](789) +[HTML](390) +[PDF](621.8KB)
Quasi-periodic travelling waves for beam equations with damping on 3-dimensional rectangular tori
Bochao Chen and Yixian Gao
2021doi: 10.3934/dcdsb.2021075 +[Abstract](468) +[HTML](264) +[PDF](414.29KB)
Random Möbius dynamics on the unit disc and perturbation theory for Lyapunov exponents
Florian Dorsch and Hermann Schulz-Baldes
2021doi: 10.3934/dcdsb.2021076 +[Abstract](498) +[HTML](248) +[PDF](1257.03KB)
Dynamics of consumer-resource systems with consumer's dispersal between patches
Kun Hu and Yuanshi Wang
2021doi: 10.3934/dcdsb.2021077 +[Abstract](467) +[HTML](316) +[PDF](787.78KB)
Energy equality for weak solutions to the 3D magnetohydrodynamic equations in a bounded domain
Guodong Wang and Bijun Zuo
2021doi: 10.3934/dcdsb.2021078 +[Abstract](518) +[HTML](274) +[PDF](454.26KB)
Normal deviation of synchronization of stochastic coupled systems
Jicheng Liu and Meiling Zhao
2021doi: 10.3934/dcdsb.2021079 +[Abstract](496) +[HTML](301) +[PDF](446.75KB)
Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two
Dingheng Pi
2021doi: 10.3934/dcdsb.2021080 +[Abstract](520) +[HTML](270) +[PDF](362.14KB)
Approximate controllability of the semilinear reaction-diffusion equation governed by a multiplicative control
Mohamed Ouzahra
2021doi: 10.3934/dcdsb.2021081 +[Abstract](554) +[HTML](259) +[PDF](318.79KB)
Discrete-time dynamics of structured populations via Feller kernels
Horst R. Thieme
2021doi: 10.3934/dcdsb.2021082 +[Abstract](494) +[HTML](258) +[PDF](378.4KB)
Positive solutions of singular multiparameter p-Laplacian elliptic systems
Meiqiang Feng and Yichen Zhang
2021doi: 10.3934/dcdsb.2021083 +[Abstract](688) +[HTML](257) +[PDF](385.49KB)
Mixed Hegselmann-Krause dynamics
Hsin-Lun Li
2021doi: 10.3934/dcdsb.2021084 +[Abstract](578) +[HTML](282) +[PDF](296.92KB)
Turing instability and pattern formations for reaction-diffusion systems on 2D bounded domain
Weihua Jiang, Xun Cao and Chuncheng Wang
2021doi: 10.3934/dcdsb.2021085 +[Abstract](846) +[HTML](307) +[PDF](1831.55KB)
Two finite difference methods based on an H2N2 interpolation for two-dimensional time fractional mixed diffusion and diffusion-wave equations
Jinye Shen and Xian-Ming Gu
2021doi: 10.3934/dcdsb.2021086 +[Abstract](613) +[HTML](253) +[PDF](465.48KB)
Critical traveling wave solutions for a vaccination model with general incidence
Yu Yang, Jinling Zhou and Cheng-Hsiung Hsu
2021doi: 10.3934/dcdsb.2021087 +[Abstract](528) +[HTML](256) +[PDF](378.86KB)
Synthetic nonlinear second-order oscillators on Riemannian manifolds and their numerical simulation
Simone Fiori, Italo Cervigni, Mattia Ippoliti and Claudio Menotta
2021doi: 10.3934/dcdsb.2021088 +[Abstract](569) +[HTML](312) +[PDF](6944.08KB)
Bifurcation in the almost periodic $ 2 $D Ricker map
Brian Ryals and Robert J. Sacker
2021doi: 10.3934/dcdsb.2021089 +[Abstract](608) +[HTML](311) +[PDF](513.3KB)
Diffusion modeling of tumor-CD4$ ^+ $-cytokine interactions with treatments: asymptotic behavior and stationary patterns
Wenbin Yang, Yujing Gao and Xiaojuan Wang
2021doi: 10.3934/dcdsb.2021090 +[Abstract](784) +[HTML](295) +[PDF](340.07KB)
Global existence and asymptotic behavior of weak solutions for time-space fractional Kirchhoff-type diffusion equations
Yongqiang Fu and Xiaoju Zhang
2021doi: 10.3934/dcdsb.2021091 +[Abstract](612) +[HTML](271) +[PDF](379.57KB)
A free boundary problem of the cancer invasion
Yang Zhang
2021doi: 10.3934/dcdsb.2021092 +[Abstract](533) +[HTML](255) +[PDF](369.55KB)
Regularity of global attractors and exponential attractors for $ 2 $D quasi-geostrophic equations with fractional dissipation
Lin Yang, Yejuan Wang and Tomás Caraballo
2021doi: 10.3934/dcdsb.2021093 +[Abstract](540) +[HTML](251) +[PDF](461.2KB)
Boundary-value problems for weakly singular integral equations
Oleksandr Boichuk and Victor Feruk
2021doi: 10.3934/dcdsb.2021094 +[Abstract](792) +[HTML](299) +[PDF](315.74KB)
Nonconstant positive solutions to the ratio-dependent predator-prey system with prey-taxis in one dimension
Qian Cao, Yongli Cai and Yong Luo
2021doi: 10.3934/dcdsb.2021095 +[Abstract](528) +[HTML](256) +[PDF](1468.85KB)
A nonsmooth van der Pol-Duffing oscillator (I): The sum of indices of equilibria is $ -1 $
Zhaoxia Wang and Hebai Chen
2021doi: 10.3934/dcdsb.2021096 +[Abstract](445) +[HTML](236) +[PDF](1057.33KB)
Slow-fast dynamics and nonlinear oscillations in transmission of mosquito-borne diseases
Chunhua Shan
2021doi: 10.3934/dcdsb.2021097 +[Abstract](545) +[HTML](277) +[PDF](3589.84KB)
The dynamic properties of a generalized Kawahara equation with Kuramoto-Sivashinsky perturbation
Shuting Chen, Zengji Du, Jiang Liu and Ke Wang
2021doi: 10.3934/dcdsb.2021098 +[Abstract](835) +[HTML](272) +[PDF](530.06KB)
Construction of unique mild solution and continuity of solution for the small initial data to 1-D Keller-Segel system
Yumi Yahagi
2021doi: 10.3934/dcdsb.2021099 +[Abstract](627) +[HTML](278) +[PDF](341.4KB)
Variational problems associated with a system of nonlinear Schrödinger equations with three wave interaction
Kazuhiro Kurata and Yuki Osada
2021doi: 10.3934/dcdsb.2021100 +[Abstract](531) +[HTML](271) +[PDF](412.32KB)
A nonsmooth van der Pol-Duffing oscillator (II): The sum of indices of equilibria is $ 1 $
Zhaoxia Wang and Hebai Chen
2021doi: 10.3934/dcdsb.2021101 +[Abstract](450) +[HTML](242) +[PDF](2197.88KB)
Linear programming estimates for Cesàro and Abel limits of optimal values in optimal control problems
Vladimir Gaitsgory and Ilya Shvartsman
2021doi: 10.3934/dcdsb.2021102 +[Abstract](516) +[HTML](255) +[PDF](324.68KB)
Asymptotic behavior of time periodic solutions for extended Fisher-Kolmogorov equations with delays
Pengyu Chen, Xuping Zhang and Zhitao Zhang
2021doi: 10.3934/dcdsb.2021103 +[Abstract](437) +[HTML](236) +[PDF](324.05KB)
BMO type space associated with Neumann operator and application to a class of parabolic equations
Zhang Chao and Minghua Yang
2021doi: 10.3934/dcdsb.2021104 +[Abstract](511) +[HTML](254) +[PDF](363.21KB)
A general multipatch cholera model in periodic environments
Feng-Bin Wang and Xueying Wang
2021doi: 10.3934/dcdsb.2021105 +[Abstract](529) +[HTML](280) +[PDF](704.48KB)
Transitions and bifurcations of Darcy-Brinkman-Marangoni convection
Zhigang Pan, Yiqiu Mao, Quan Wang and Yuchen Yang
2021doi: 10.3934/dcdsb.2021106 +[Abstract](523) +[HTML](281) +[PDF](1216.61KB)
Pullback random attractors for fractional stochastic $ p $-Laplacian equation with delay and multiplicative noise
Xuping Zhang
2021doi: 10.3934/dcdsb.2021107 +[Abstract](481) +[HTML](239) +[PDF](393.29KB)
Global stability of HIV/HTLV co-infection model with CTL-mediated immunity
A. M. Elaiw and N. H. AlShamrani
2021doi: 10.3934/dcdsb.2021108 +[Abstract](460) +[HTML](203) +[PDF](3593.49KB)
A switching feedback control approach for persistence of managed resources
Daniel Franco, Chris Guiver, Phoebe Smith and Stuart Townley
2021doi: 10.3934/dcdsb.2021109 +[Abstract](426) +[HTML](224) +[PDF](964.2KB)
Optimal distributed control for a coupled phase-field system
Bosheng Chen, Huilai Li and Changchun Liu
2021doi: 10.3934/dcdsb.2021110 +[Abstract](682) +[HTML](286) +[PDF](525.56KB)
Phase transitions of the SIR Rumor spreading model with a variable trust rate
Sun-Ho Choi, Hyowon Seo and Minha Yoo
2021doi: 10.3934/dcdsb.2021111 +[Abstract](451) +[HTML](197) +[PDF](740.38KB)
Weak Galerkin method for the Stokes equations with damping
Hui Peng and Qilong Zhai
2021doi: 10.3934/dcdsb.2021112 +[Abstract](427) +[HTML](208) +[PDF](801.5KB)
Modelling the effects of ozone concentration and pulse vaccination on seasonal influenza outbreaks in Gansu Province, China
Shuang-Lin Jing, Hai-Feng Huo and Hong Xiang
2021doi: 10.3934/dcdsb.2021113 +[Abstract](546) +[HTML](286) +[PDF](3996.48KB)
A short-term food intake model involving glucose, insulin and ghrelin
Massimo Barnabei, Alessandro Borri, Andrea De Gaetano, Costanzo Manes, Pasquale Palumbo and Jorge Guerra Pires
2021doi: 10.3934/dcdsb.2021114 +[Abstract](628) +[HTML](250) +[PDF](393.97KB)
A new approach to get solutions for Kirchhoff-type fractional Schrödinger systems involving critical exponents
Maoding Zhen, Binlin Zhang and Xiumei Han
2021doi: 10.3934/dcdsb.2021115 +[Abstract](493) +[HTML](224) +[PDF](484.74KB)
The multi-dimensional stochastic Stefan financial model for a portfolio of assets
Dimitra C. Antonopoulou, Marina Bitsaki and Georgia Karali
2021doi: 10.3934/dcdsb.2021118 +[Abstract](535) +[HTML](221) +[PDF](813.99KB)
Bloch wave approach to almost periodic homogenization and approximations of effective coefficients
Sista Sivaji Ganesh and Vivek Tewary
2021doi: 10.3934/dcdsb.2021119 +[Abstract](593) +[HTML](218) +[PDF](921.39KB)
A competition model in the chemostat with allelopathy and substrate inhibition
Mohamed Dellal, Bachir Bar and Mustapha Lakrib
2021doi: 10.3934/dcdsb.2021120 +[Abstract](471) +[HTML](261) +[PDF](2247.1KB)
On the family of cubic parabolic polynomials
Alexandre Alves and Mostafa Salarinoghabi
2021doi: 10.3934/dcdsb.2021121 +[Abstract](422) +[HTML](206) +[PDF](484.82KB)
Global solvability to a singular chemotaxis-consumption model with fast and slow diffusion and logistic source
Langhao Zhou, Liangwei Wang and Chunhua Jin
2021doi: 10.3934/dcdsb.2021122 +[Abstract](443) +[HTML](230) +[PDF](388.36KB)
Mathematical analysis of an age-structured HIV model with intracellular delay
Yuan Yuan and Xianlong Fu
2021doi: 10.3934/dcdsb.2021123 +[Abstract](378) +[HTML](224) +[PDF](909.83KB)
Multiple solutions for Schrödinger lattice systems with asymptotically linear terms and perturbed terms
Guanwei Chen and Martin Schechter
2021doi: 10.3934/dcdsb.2021124 +[Abstract](472) +[HTML](214) +[PDF](282.76KB)
Singular function emerging from one-dimensional elementary cellular automaton Rule 150
Akane Kawaharada
2021doi: 10.3934/dcdsb.2021125 +[Abstract](405) +[HTML](206) +[PDF](853.19KB)
Exact and WKB-approximate distributions in a gene expression model with feedback in burst frequency, burst size, and protein stability
Pavol Bokes
2021doi: 10.3934/dcdsb.2021126 +[Abstract](454) +[HTML](236) +[PDF](790.69KB)
Interactions of time delay and spatial diffusion induce the periodic oscillation of the vegetation system
Jing Li, Gui-Quan Sun and Zhen Jin
2021doi: 10.3934/dcdsb.2021127 +[Abstract](549) +[HTML](327) +[PDF](2421.79KB)
Riemann problem for a non-strictly hyperbolic system in chemotaxis
Tong Li and Nitesh Mathur
2021doi: 10.3934/dcdsb.2021128 +[Abstract](976) +[HTML](252) +[PDF](546.32KB)
A free boundary problem of some modified Leslie-Gower predator-prey model with nonlocal diffusion term
Shiwen Niu, Hongmei Cheng and Rong Yuan
2021doi: 10.3934/dcdsb.2021129 +[Abstract](509) +[HTML](226) +[PDF](457.6KB)
On existence and numerical approximation in phase-lag thermoelasticity with two temperatures
Marco Campo, Maria I. M. Copetti, José R. Fernández and Ramón Quintanilla
2021doi: 10.3934/dcdsb.2021130 +[Abstract](456) +[HTML](209) +[PDF](444.95KB)
Aggregation and disaggregation of active particles on the unit sphere with time-dependent frequencies
Dohyun Kim and Jeongho Kim
2021doi: 10.3934/dcdsb.2021131 +[Abstract](436) +[HTML](210) +[PDF](2582.61KB)
Dynamics of a depletion-type Gierer-Meinhardt model with Langmuir-Hinshelwood reaction scheme
Mengxin Chen, Ranchao Wu and Yancong Xu
2021doi: 10.3934/dcdsb.2021132 +[Abstract](474) +[HTML](215) +[PDF](1726.41KB)
Existence of unstable stationary solutions for nonlinear stochastic differential equations with additive white noise
Xiang Lv
2021doi: 10.3934/dcdsb.2021133 +[Abstract](405) +[HTML](212) +[PDF](316.38KB)
Existence and asymptotical behavior of positive solutions for the Schrödinger-Poisson system with double quasi-linear terms
Xueqin Peng and Gao Jia
2021doi: 10.3934/dcdsb.2021134 +[Abstract](508) +[HTML](213) +[PDF](420.23KB)
On a generalized diffusion problem: A complex network approach
Guillaume Cantin and Alexandre Thorel
2021doi: 10.3934/dcdsb.2021135 +[Abstract](448) +[HTML](203) +[PDF](530.63KB)
Global dynamics analysis of a time-delayed dynamic model of Kawasaki disease pathogenesis
Ke Guo, Wanbiao Ma and Rong Qiang
2021doi: 10.3934/dcdsb.2021136 +[Abstract](509) +[HTML](246) +[PDF](2283.88KB)
Homogenization for stochastic reaction-diffusion equations with singular perturbation term
Yangyang Shi and Hongjun Gao
2021doi: 10.3934/dcdsb.2021137 +[Abstract](399) +[HTML](202) +[PDF](495.46KB)
Global population dynamics of a single species structured with distinctive time-varying maturation and self-limitation delays
Chuangxia Huang, Lihong Huang and Jianhong Wu
2021doi: 10.3934/dcdsb.2021138 +[Abstract](398) +[HTML](199) +[PDF](368.8KB)
Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation
Jiaxiang Cai, Juan Chen and Min Chen
2021doi: 10.3934/dcdsb.2021139 +[Abstract](396) +[HTML](204) +[PDF](2207.68KB)
Long time dynamics of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
Tania Biswas and Elisabetta Rocca
2021doi: 10.3934/dcdsb.2021140 +[Abstract](360) +[HTML](209) +[PDF](384.18KB)
Existence of multiple solutions for a fourth-order problem with variable exponent
Marco Donatelli and Luca Vilasi
2021doi: 10.3934/dcdsb.2021141 +[Abstract](377) +[HTML](206) +[PDF](306.03KB)
Center manifolds for ill-posed stochastic evolution equations
Zonghao Li and Caibin Zeng
2021doi: 10.3934/dcdsb.2021142 +[Abstract](510) +[HTML](204) +[PDF](395.64KB)
Optimal control of the SIR epidemic model based on dynamical systems theory
Kazuyuki Yagasaki
2021doi: 10.3934/dcdsb.2021144 +[Abstract](416) +[HTML](192) +[PDF](494.54KB)
Global solutions to the non-local Navier-Stokes equations
Joelma Azevedo, Juan Carlos Pozo and Arlúcio Viana
2021doi: 10.3934/dcdsb.2021146 +[Abstract](409) +[HTML](208) +[PDF](499.49KB)
Global well-posedness and exponential stability for the fermion equation in weighted Sobolev spaces
Baoyan Sun and Kung-Chien Wu
2021doi: 10.3934/dcdsb.2021147 +[Abstract](368) +[HTML](187) +[PDF](435.48KB)
Stochastic perturbation of a cubic anharmonic oscillator
Enrico Bernardi and Alberto Lanconelli
2021doi: 10.3934/dcdsb.2021148 +[Abstract](323) +[HTML](181) +[PDF](637.79KB)
Time splitting combined with exponential wave integrator Fourier pseudospectral method for quantum Zakharov system
Gengen Zhang
2021doi: 10.3934/dcdsb.2021149 +[Abstract](394) +[HTML](232) +[PDF](2360.81KB)
The model of nutrients influence on the tumor growth
Rudolf Olach, Vincent Lučanský and Božena Dorociaková
2021doi: 10.3934/dcdsb.2021150 +[Abstract](416) +[HTML](202) +[PDF](309.77KB)
Existence of finite time blow-up solutions in a normal form of the subcritical Hopf bifurcation with time-delayed feedback for small initial functions
Kazuyuki Yagasaki
2021doi: 10.3934/dcdsb.2021151 +[Abstract](338) +[HTML](180) +[PDF](535.44KB)
Wave phenomena in a compartmental epidemic model with nonlocal dispersal and relapse
Jia-Bing Wang, Shao-Xia Qiao and Chufen Wu
2021doi: 10.3934/dcdsb.2021152 +[Abstract](402) +[HTML](234) +[PDF](820.87KB)
A Crank-Nicolson type minimization scheme for a hyperbolic free boundary problem
Yoshiho Akagawa, Elliott Ginder, Syota Koide, Seiro Omata and Karel Svadlenka
2021doi: 10.3934/dcdsb.2021153 +[Abstract](378) +[HTML](182) +[PDF](2103.6KB)
Gaussian invariant measures and stationary solutions of 2D primitive equations
Francesco Grotto and Umberto Pappalettera
2021doi: 10.3934/dcdsb.2021154 +[Abstract](311) +[HTML](187) +[PDF](357.49KB)
The eigenvalue problem for a class of degenerate operators related to the normalized $ p $-Laplacian
Fang Liu
2021doi: 10.3934/dcdsb.2021155 +[Abstract](426) +[HTML](167) +[PDF](410.44KB)
Local well-posedness and finite time blowup for fourth-order Schrödinger equation with complex coefficient
Xuan Liu and Ting Zhang
2021doi: 10.3934/dcdsb.2021156 +[Abstract](411) +[HTML](175) +[PDF](523.96KB)
Corrigendum: On the Abel differential equations of third kind
Regilene Oliveira and Cláudia Valls
2021doi: 10.3934/dcdsb.2021157 +[Abstract](628) +[HTML](176) +[PDF](341.8KB)
Spatiotemporal dynamics for a diffusive HIV-1 infection model with distributed delays and CTL immune response
Zhijun Liu, Lianwen Wang and Ronghua Tan
2021doi: 10.3934/dcdsb.2021159 +[Abstract](305) +[HTML](211) +[PDF](4451.54KB)
The qualitative behavior of a plankton-fish interaction model with food limited growth rate and non-constant fish harvesting
R. P. Gupta, Shristi Tiwari and Shivam Saxena
2021doi: 10.3934/dcdsb.2021160 +[Abstract](298) +[HTML](225) +[PDF](2330.22KB)
Monopoly conditions in a Cournot-Theocharis oligopoly model under adaptive expectations
Jose S. Cánovas and María Muñoz-Guillermo
2021doi: 10.3934/dcdsb.2021161 +[Abstract](274) +[HTML](192) +[PDF](415.84KB)
On q-deformed logistic maps
Jose S. Cánovas
2021doi: 10.3934/dcdsb.2021162 +[Abstract](311) +[HTML](183) +[PDF](751.28KB)
A stabilized nonconforming Nitsche's extended finite element method for Stokes interface problems
Xiaoxiao He, Fei Song and Weibing Deng
2021doi: 10.3934/dcdsb.2021163 +[Abstract](310) +[HTML](173) +[PDF](417.25KB)
On the mean field limit for Cucker-Smale models
Roberto Natalini and Thierry Paul
2021doi: 10.3934/dcdsb.2021164 +[Abstract](426) +[HTML](150) +[PDF](356.25KB)
A true three-scroll chaotic attractor coined
Haijun Wang, Hongdan Fan and Jun Pan
2021doi: 10.3934/dcdsb.2021165 +[Abstract](283) +[HTML](201) +[PDF](7027.23KB)
Analysis of stationary patterns arising from a time-discrete metapopulation model with nonlocal competition
Ozgur Aydogmus and Yun Kang
2021doi: 10.3934/dcdsb.2021166 +[Abstract](296) +[HTML](224) +[PDF](742.05KB)
The Lewy-Stampacchia inequality for the fractional Laplacian and its application to anomalous unidirectional diffusion equations
Pu-Zhao Kow and Masato Kimura
2021doi: 10.3934/dcdsb.2021167 +[Abstract](288) +[HTML](152) +[PDF](493.83KB)
Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights
Aowen Kong, Carlos Nonato, Wenjun Liu, Manoel Jeremias dos Santos and Carlos Raposo
2021doi: 10.3934/dcdsb.2021168 +[Abstract](324) +[HTML](174) +[PDF](412.89KB)
Modeling the influence of human population and human population augmented pollution on rainfall
A. K. Misra, Gauri Agrawal and Kusum Lata
2021doi: 10.3934/dcdsb.2021169 +[Abstract](389) +[HTML](170) +[PDF](1107.61KB)
The effect of spatial variables on the basic reproduction ratio for a reaction-diffusion epidemic model
Tianhui Yang, Ammar Qarariyah and Qigui Yang
2021doi: 10.3934/dcdsb.2021170 +[Abstract](630) +[HTML](247) +[PDF](1180.84KB)
Hartman and Nirenberg type results for systems of delay differential equations under $ (\omega,Q) $-periodic conditions
Pablo Amster, Alberto Déboli and Manuel Pinto
2021doi: 10.3934/dcdsb.2021171 +[Abstract](299) +[HTML](181) +[PDF](351.07KB)
Stage-structured models for interactive wild and periodically and impulsively released sterile mosquitoes
Shangbing Ai, Jia Li, Jianshe Yu and Bo Zheng
2021doi: 10.3934/dcdsb.2021172 +[Abstract](378) +[HTML](183) +[PDF](1108.77KB)
Qualitative analysis of a diffusive SEIR epidemic model with linear external source and asymptomatic infection in heterogeneous environment
Xuan Tian, Shangjiang Guo and Zhisu Liu
2021doi: 10.3934/dcdsb.2021173 +[Abstract](266) +[HTML](186) +[PDF](461.0KB)
Concentration phenomenon of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with spontaneous infection
Chengxia Lei and Xinhui Zhou
2021doi: 10.3934/dcdsb.2021174 +[Abstract](257) +[HTML](159) +[PDF](455.12KB)
Strong attractors and their robustness for an extensible beam model with energy damping
Yue Sun and Zhijian Yang
2021doi: 10.3934/dcdsb.2021175 +[Abstract](273) +[HTML](134) +[PDF](614.83KB)
On the Cauchy-Born approximation at finite temperature for alloys
Shuyang Dai, Fengru Wang, Jerry Zhijian Yang and Cheng Yuan
2021doi: 10.3934/dcdsb.2021176 +[Abstract](289) +[HTML](151) +[PDF](656.45KB)
Dynamical behavior of a stochastic predator-prey model with general functional response and nonlinear jump-diffusion
Xinhong Zhang and Qing Yang
2021doi: 10.3934/dcdsb.2021177 +[Abstract](291) +[HTML](160) +[PDF](605.75KB)
Dynamics of a stochastic HIV/AIDS model with treatment under regime switching
Miaomiao Gao, Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi and Bashir Ahmad
2021doi: 10.3934/dcdsb.2021181 +[Abstract](274) +[HTML](159) +[PDF](975.2KB)
Null controllability for a class of stochastic singular parabolic equations with the convection term
Lin Yan and Bin Wu
2021doi: 10.3934/dcdsb.2021182 +[Abstract](276) +[HTML](158) +[PDF](431.52KB)
Propagation dynamics in a diffusive SIQR model for childhood diseases
Shuo Zhang and Guo Lin
2021doi: 10.3934/dcdsb.2021183 +[Abstract](267) +[HTML](136) +[PDF](896.73KB)
On a mathematical model of tumor-immune system interactions with an oncolytic virus therapy
Sophia R-J Jang and Hsiu-Chuan Wei
2021doi: 10.3934/dcdsb.2021184 +[Abstract](314) +[HTML](254) +[PDF](2025.58KB)
Stable transition layer induced by degeneracy of the spatial inhomogeneities in the Allen-Cahn problem
Maicon Sônego and Arnaldo Simal do Nascimento
2021doi: 10.3934/dcdsb.2021185 +[Abstract](260) +[HTML](156) +[PDF](328.82KB)
Asymptotic behavior for the solutions to a bistable-bistable reaction diffusion equation
Pengchao Lai and Qi Li
2021doi: 10.3934/dcdsb.2021186 +[Abstract](268) +[HTML](152) +[PDF](374.37KB)
Optimal spiral-like solutions near a singular extremal in a two-input control problem
Larisa Manita and Mariya Ronzhina
2021doi: 10.3934/dcdsb.2021187 +[Abstract](286) +[HTML](191) +[PDF](419.37KB)
Matrix measures, stability and contraction theory for dynamical systems on time scales
Giovanni Russo and Fabian Wirth
2021doi: 10.3934/dcdsb.2021188 +[Abstract](434) +[HTML](284) +[PDF](897.81KB)
Stability and dynamic transition of vegetation model for flat arid terrains
Lan Jia and Liang Li
2021doi: 10.3934/dcdsb.2021189 +[Abstract](293) +[HTML](154) +[PDF](1118.93KB)
Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation
Roberto de A. Capistrano–Filho, Márcio Cavalcante and Fernando A. Gallego
2021doi: 10.3934/dcdsb.2021190 +[Abstract](302) +[HTML](164) +[PDF](536.47KB)
Simplification of weakly nonlinear systems and analysis of cardiac activity using them
Irada Dzhalladova and Miroslava Růžičková
2021doi: 10.3934/dcdsb.2021191 +[Abstract](361) +[HTML](158) +[PDF](628.35KB)
A computational modular approach to evaluate $ {\mathrm{NO_{x}}} $ emissions and ozone production due to vehicular traffic
Caterina Balzotti, Maya Briani, Barbara De Filippo and Benedetto Piccoli
2021doi: 10.3934/dcdsb.2021192 +[Abstract](244) +[HTML](170) +[PDF](4433.46KB)
A quasilinear parabolic-parabolic chemotaxis model with logistic source and singular sensitivity
Jie Zhao
2021doi: 10.3934/dcdsb.2021193 +[Abstract](283) +[HTML](260) +[PDF](438.0KB)
Invasive speed for a competition-diffusion system with three species
Chaohong Pan, Hongyong Wang and Chunhua Ou
2021doi: 10.3934/dcdsb.2021194 +[Abstract](334) +[HTML](167) +[PDF](385.2KB)
Global dynamics and bifurcations in a SIRS epidemic model with a nonmonotone incidence rate and a piecewise-smooth treatment rate
Qin Pan, Jicai Huang and Qihua Huang
2021doi: 10.3934/dcdsb.2021195 +[Abstract](259) +[HTML](125) +[PDF](2114.27KB)
Existence and continuity of global attractors for ternary mixtures of solids
Mirelson M. Freitas, Anderson J. A. Ramos, Baowei Feng, Mauro L. Santos and Helen C. M. Rodrigues
2021doi: 10.3934/dcdsb.2021196 +[Abstract](268) +[HTML](118) +[PDF](519.34KB)
Practical partial stability of time-varying systems
Abdelfettah Hamzaoui, Nizar Hadj Taieb and Mohamed Ali Hammami
2021doi: 10.3934/dcdsb.2021197 +[Abstract](280) +[HTML](123) +[PDF](442.44KB)
Positive solutions of iterative functional differential equations and application to mixed-type functional differential equations
Jun Zhou and Jun Shen
2021doi: 10.3934/dcdsb.2021198 +[Abstract](229) +[HTML](128) +[PDF](468.76KB)
Positive solutions of a diffusive two competitive species model with saturation
Aung Zaw Myint
2021doi: 10.3934/dcdsb.2021199 +[Abstract](354) +[HTML](122) +[PDF](574.98KB)
Effects of fear and anti-predator response in a discrete system with delay
Ritwick Banerjee, Pritha Das and Debasis Mukherjee
2021doi: 10.3934/dcdsb.2021200 +[Abstract](265) +[HTML](133) +[PDF](997.69KB)
The truncated Milstein method for super-linear stochastic differential equations with Markovian switching
Weijun Zhan, Qian Guo and Yuhao Cong
2021doi: 10.3934/dcdsb.2021201 +[Abstract](229) +[HTML](119) +[PDF](376.43KB)
Spatiotemporal dynamics in a diffusive Holling-Tanner model near codimension-two bifurcations
Daifeng Duan, Ben Niu and Junjie Wei
2021doi: 10.3934/dcdsb.2021202 +[Abstract](218) +[HTML](124) +[PDF](3488.64KB)
Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven stochastic differential equations with smooth drift coefficient functions with at most polynomially growing derivatives
Arnulf Jentzen, Benno Kuckuck, Thomas Müller-Gronbach and Larisa Yaroslavtseva
2021doi: 10.3934/dcdsb.2021203 +[Abstract](177) +[HTML](134) +[PDF](339.66KB)
Stability with general decay rate of hybrid neutral stochastic pantograph differential equations driven by Lévy noise
Tian Zhang and Chuanhou Gao
2021doi: 10.3934/dcdsb.2021204 +[Abstract](350) +[HTML](151) +[PDF](911.48KB)
Well-posedness of the initial-boundary value problem for the fourth-order nonlinear Schrödinger equation
Boling Guo and Jun Wu
2021doi: 10.3934/dcdsb.2021205 +[Abstract](265) +[HTML](147) +[PDF](460.53KB)
Predator-prey interactions under fear effect and multiple foraging strategies
Susmita Halder, Joydeb Bhattacharyya and Samares Pal
2021doi: 10.3934/dcdsb.2021206 +[Abstract](281) +[HTML](156) +[PDF](3439.06KB)
Stabilization for hybrid stochastic differential equations driven by Lévy noise via periodically intermittent control
Yong Ren and Qi Zhang
2021doi: 10.3934/dcdsb.2021207 +[Abstract](225) +[HTML](148) +[PDF](520.74KB)
An analysis approach to permanence of a delay differential equations model of microorganism flocculation
Songbai Guo, Jing-An Cui and Wanbiao Ma
2021doi: 10.3934/dcdsb.2021208 +[Abstract](322) +[HTML](146) +[PDF](303.15KB)
On oscillations to a 2D age-dependent predation equations characterizing Beddington-DeAngelis type schemes
Peng Yang and Yuanshi Wang
2021doi: 10.3934/dcdsb.2021209 +[Abstract](193) +[HTML](102) +[PDF](951.74KB)
On an upper bound for the spreading speed
Mohammed Mesk and Ali Moussaoui
2021doi: 10.3934/dcdsb.2021210 +[Abstract](338) +[HTML](103) +[PDF](483.48KB)
Coexistence states of a Holling type II predator-prey system with self and cross-diffusion terms
Willian Cintra, Carlos Alberto dos Santos and Jiazheng Zhou
2021doi: 10.3934/dcdsb.2021211 +[Abstract](211) +[HTML](109) +[PDF](371.24KB)
Uniform attractors for nonautonomous reaction-diffusion equations with the nonlinearity in a larger symbol space
Xiangming Zhu and Chengkui Zhong
2021doi: 10.3934/dcdsb.2021212 +[Abstract](216) +[HTML](103) +[PDF](339.61KB)
Optimization of a control law to synchronize first-order dynamical systems on Riemannian manifolds by a transverse component
Adolfo Damiano Cafaro and Simone Fiori
2021doi: 10.3934/dcdsb.2021213 +[Abstract](238) +[HTML](111) +[PDF](1743.26KB)
Positive solutions for critical quasilinear Schrödinger equations with potentials vanishing at infinity
Guofa Li and Yisheng Huang
2021doi: 10.3934/dcdsb.2021214 +[Abstract](223) +[HTML](104) +[PDF](381.2KB)
Isochronicity of bi-centers for symmetric quartic differential systems
Wilker Fernandes, Viviane Pardini Valério and Patricia Tempesta
2021doi: 10.3934/dcdsb.2021215 +[Abstract](154) +[HTML](64) +[PDF](443.8KB)
Blow-up prevention by quadratic degradation in a higher-dimensional chemotaxis-growth model with indirect attractant production
Jianing Xie
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