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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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The threshold dynamics of a discrete-time echinococcosis transmission model
Cuicui Li, Lin Zhou, Zhidong Teng and Buyu Wen
2021, 26(10) : 5197-5216 doi: 10.3934/dcdsb.2020339 +[Abstract](821) +[HTML](319) +[PDF](2022.64KB)
A posteriori error estimate of weak Galerkin fem for second order elliptic problem with mixed boundary condition
Shenglan Xie, Maoan Han and Peng Zhu
2021, 26(10) : 5217-5226 doi: 10.3934/dcdsb.2020340 +[Abstract](780) +[HTML](300) +[PDF](1118.56KB)
Qualitative analysis of a simple tumor-immune system with time delay of tumor action
Jianquan Li, Xin Xie, Dian Zhang, Jia Li and Xiaolin Lin
2021, 26(10) : 5227-5249 doi: 10.3934/dcdsb.2020341 +[Abstract](714) +[HTML](286) +[PDF](788.89KB)
Complex oscillatory patterns near singular Hopf bifurcation in a two-timescale ecosystem
Susmita Sadhu
2021, 26(10) : 5251-5279 doi: 10.3934/dcdsb.2020342 +[Abstract](850) +[HTML](278) +[PDF](3279.12KB)
Combined therapy for treating solid tumors with chemotherapy and angiogenic inhibitors
Adam Glick and Antonio Mastroberardino
2021, 26(10) : 5281-5304 doi: 10.3934/dcdsb.2020343 +[Abstract](763) +[HTML](353) +[PDF](1046.86KB)
Codimension one and two bifurcations in Cattaneo-Christov heat flux model
Zhouchao Wei, Wei Zhang, Irene Moroz and Nikolay V. Kuznetsov
2021, 26(10) : 5305-5319 doi: 10.3934/dcdsb.2020344 +[Abstract](715) +[HTML](346) +[PDF](819.18KB)
Singular support of the global attractor for a damped BBM equation
Jianhua Huang, Yanbin Tang and Ming Wang
2021, 26(10) : 5321-5335 doi: 10.3934/dcdsb.2020345 +[Abstract](703) +[HTML](302) +[PDF](371.32KB)
Qualitative analysis of a generalized Nosé-Hoover oscillator
Qianqian Han and Xiao-Song Yang
2021, 26(10) : 5337-5354 doi: 10.3934/dcdsb.2020346 +[Abstract](534) +[HTML](265) +[PDF](366.69KB)
Optimal control strategies for an online game addiction model with low and high risk exposure
Youming Guo and Tingting Li
2021, 26(10) : 5355-5382 doi: 10.3934/dcdsb.2020347 +[Abstract](773) +[HTML](289) +[PDF](745.33KB)
Existence of strong solution for the Cauchy problem of fully compressible Navier-Stokes equations in two dimensions
Zhilei Liang and Jiangyu Shuai
2021, 26(10) : 5383-5405 doi: 10.3934/dcdsb.2020348 +[Abstract](635) +[HTML](258) +[PDF](467.21KB)
Effective reduction of a three-dimensional circadian oscillator model
Shuang Chen, Jinqiao Duan and Ji Li
2021, 26(10) : 5407-5419 doi: 10.3934/dcdsb.2020349 +[Abstract](705) +[HTML](253) +[PDF](745.43KB)
Random attractors for stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
Leanne Dong
2021, 26(10) : 5421-5448 doi: 10.3934/dcdsb.2020352 +[Abstract](772) +[HTML](274) +[PDF](484.9KB)
Norm inflation for the Boussinesq system
Zongyuan Li and Weinan Wang
2021, 26(10) : 5449-5463 doi: 10.3934/dcdsb.2020353 +[Abstract](672) +[HTML](244) +[PDF](340.36KB)
On an initial and final value problem for fractional nonclassical diffusion equations of Kirchhoff type
Nguyen Huy Tuan
2021, 26(10) : 5465-5494 doi: 10.3934/dcdsb.2020354 +[Abstract](776) +[HTML](258) +[PDF](718.84KB)
High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation
Abdollah Borhanifar, Maria Alessandra Ragusa and Sohrab Valizadeh
2021, 26(10) : 5495-5508 doi: 10.3934/dcdsb.2020355 +[Abstract](646) +[HTML](243) +[PDF](382.47KB)
A diffusive weak Allee effect model with U-shaped emigration and matrix hostility
Nalin Fonseka, Jerome Goddard II, Ratnasingham Shivaji and Byungjae Son
2021, 26(10) : 5509-5517 doi: 10.3934/dcdsb.2020356 +[Abstract](564) +[HTML](281) +[PDF](833.91KB)
The spatially heterogeneous diffusive rabies model and its shadow system
Yuxin Zhang
2021, 26(10) : 5519-5549 doi: 10.3934/dcdsb.2020357 +[Abstract](722) +[HTML](268) +[PDF](429.11KB)
The effect of surface pattern property on the advancing motion of three-dimensional droplets
Hua Zhong, Xiaolin Fan and Shuyu Sun
2021, 26(10) : 5551-5566 doi: 10.3934/dcdsb.2020366 +[Abstract](611) +[HTML](281) +[PDF](3788.07KB)
Strong convergence rates for markovian representations of fractional processes
Philipp Harms
2021, 26(10) : 5567-5579 doi: 10.3934/dcdsb.2020367 +[Abstract](608) +[HTML](274) +[PDF](4161.45KB)
Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve
Huanhuan Tian and Maoan Han
2021, 26(10) : 5581-5599 doi: 10.3934/dcdsb.2020368 +[Abstract](651) +[HTML](247) +[PDF](1105.89KB)
Mathematical analysis of a three-tiered food-web in the chemostat
Sarra Nouaoura, Radhouane Fekih-Salem, Nahla Abdellatif and Tewfik Sari
2021, 26(10) : 5601-5625 doi: 10.3934/dcdsb.2020369 +[Abstract](693) +[HTML](258) +[PDF](1153.48KB)
Stable transition layers in an unbalanced bistable equation
Maicon Sônego
2021, 26(10) : 5627-5640 doi: 10.3934/dcdsb.2020370 +[Abstract](707) +[HTML](230) +[PDF](384.44KB)
Permanence, extinction and periodic solution of a stochastic single-species model with Lévy noises
Jiangtao Yang
2021, 26(10) : 5641-5660 doi: 10.3934/dcdsb.2020371 +[Abstract](710) +[HTML](244) +[PDF](630.87KB)
Parameter identification on Abelian integrals to achieve Chebyshev property
Xianbo Sun, Zhanbo Chen and Pei Yu
2021, 26(10) : 5661-5679 doi: 10.3934/dcdsb.2020375 +[Abstract](510) +[HTML](235) +[PDF](539.88KB)
Dynamics of non-autonomous fractional reaction-diffusion equations on $ \mathbb{R}^{N} $ driven by multiplicative noise
Kaixuan Zhu, Ji Li, Yongqin Xie and Mingji Zhang
2021, 26(10) : 5681-5705 doi: 10.3934/dcdsb.2020376 +[Abstract](677) +[HTML](319) +[PDF](479.67KB)
Survival analysis for tumor growth model with stochastic perturbation
Dongxi Li, Ni Zhang, Ming Yan and Yanya Xing
2021, 26(10) : 5707-5722 doi: 10.3934/dcdsb.2021041 +[Abstract](555) +[HTML](243) +[PDF](442.44KB)
Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum
Tong Tang and Jianzhu Sun
2020doi: 10.3934/dcdsb.2020377 +[Abstract](486) +[HTML](220) +[PDF](367.76KB)
System specific triangulations for the construction of CPA Lyapunov functions
Peter Giesl and Sigurdur Hafstein
2020doi: 10.3934/dcdsb.2020378 +[Abstract](530) +[HTML](229) +[PDF](9135.26KB)
Feedback synchronization of FHN cellular neural networks
Leslaw Skrzypek and Yuncheng You
2020doi: 10.3934/dcdsb.2021001 +[Abstract](494) +[HTML](229) +[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](459) +[HTML](223) +[PDF](323.06KB)
Dynamic transitions of the Swift-Hohenberg equation with third-order dispersion
Kevin Li
2020doi: 10.3934/dcdsb.2021003 +[Abstract](422) +[HTML](224) +[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](770) +[HTML](254) +[PDF](431.96KB)
Water taxes and fines imposed on legal and illegal firms exploiting groudwater
Marta Biancardi, Lucia Maddalena and Giovanni Villani
2020doi: 10.3934/dcdsb.2021008 +[Abstract](470) +[HTML](227) +[PDF](1340.6KB)
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](594) +[HTML](242) +[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](588) +[HTML](295) +[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](463) +[HTML](261) +[PDF](408.14KB)
Stochastic and deterministic SIS patch model
Ténan Yeo
2020doi: 10.3934/dcdsb.2021012 +[Abstract](467) +[HTML](214) +[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](494) +[HTML](235) +[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](552) +[HTML](205) +[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](518) +[HTML](273) +[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](840) +[HTML](281) +[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](445) +[HTML](196) +[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](462) +[HTML](228) +[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](477) +[HTML](237) +[PDF](474.46KB)
Singularity formation to the nonhomogeneous magneto-micropolar fluid equations
Xin Zhong
2021doi: 10.3934/dcdsb.2021021 +[Abstract](497) +[HTML](208) +[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](485) +[HTML](207) +[PDF](520.74KB)
Global attractors of two layer baroclinic quasi-geostrophic model
Yanhong Zhang
2021doi: 10.3934/dcdsb.2021023 +[Abstract](409) +[HTML](199) +[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](439) +[HTML](207) +[PDF](374.69KB)
The multi-patch logistic equation
Bilel Elbetch, Tounsia Benzekri, Daniel Massart and Tewfik Sari
2021doi: 10.3934/dcdsb.2021025 +[Abstract](551) +[HTML](211) +[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](463) +[HTML](189) +[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](474) +[HTML](216) +[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](488) +[HTML](203) +[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](358) +[HTML](208) +[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](387) +[HTML](198) +[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](426) +[HTML](187) +[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](369) +[HTML](201) +[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](433) +[HTML](205) +[PDF](2713.27KB)
Existence of $ \mathcal{D}- $pullback attractor for an infinite dimensional dynamical system
Mustapha Yebdri
2021doi: 10.3934/dcdsb.2021036 +[Abstract](366) +[HTML](196) +[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](480) +[HTML](215) +[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](392) +[HTML](220) +[PDF](310.78KB)
Phase portraits of the Higgins–Selkov system
Jaume Llibre and Marzieh Mousavi
2021doi: 10.3934/dcdsb.2021039 +[Abstract](467) +[HTML](251) +[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](352) +[HTML](204) +[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](389) +[HTML](210) +[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](367) +[HTML](201) +[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](383) +[HTML](246) +[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](431) +[HTML](221) +[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](443) +[HTML](318) +[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](475) +[HTML](237) +[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](356) +[HTML](194) +[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](311) +[HTML](193) +[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](434) +[HTML](181) +[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](456) +[HTML](191) +[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](413) +[HTML](197) +[PDF](382.21KB)
A learning-enhanced projection method for solving convex feasibility problems
Janosch Rieger
2021doi: 10.3934/dcdsb.2021054 +[Abstract](297) +[HTML](179) +[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](416) +[HTML](208) +[PDF](365.0KB)
Asymptotics of singularly perturbed damped wave equations with super-cubic exponent
Dandan Li
2021doi: 10.3934/dcdsb.2021056 +[Abstract](320) +[HTML](163) +[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](361) +[HTML](192) +[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](455) +[HTML](226) +[PDF](726.46KB)
Qualitative analysis of integro-differential equations with variable retardation
Martin Bohner and Osman Tunç
2021doi: 10.3934/dcdsb.2021059 +[Abstract](373) +[HTML](303) +[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](368) +[HTML](203) +[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](379) +[HTML](207) +[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](395) +[HTML](191) +[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](298) +[HTML](169) +[PDF](428.83KB)
On the Lorenz '96 model and some generalizations
John Kerin and Hans Engler
2021doi: 10.3934/dcdsb.2021064 +[Abstract](346) +[HTML](183) +[PDF](1421.34KB)
Single-target networks
Gheorghe Craciun, Jiaxin Jin and Polly Y. Yu
2021doi: 10.3934/dcdsb.2021065 +[Abstract](355) +[HTML](161) +[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](479) +[HTML](170) +[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](436) +[HTML](155) +[PDF](372.72KB)
Stability of hydrostatic equilibrium to the 2D fractional Boussinesq equations
Liangliang Ma
2021doi: 10.3934/dcdsb.2021068 +[Abstract](378) +[HTML](176) +[PDF](342.07KB)
Stability switching and its directions in cournot duopoly game with three delays
Akio Matsumoto and Ferenc Szidarovszky
2021doi: 10.3934/dcdsb.2021069 +[Abstract](360) +[HTML](175) +[PDF](1662.1KB)
Public debt dynamics under ambiguity by means of iterated function systems on density functions
Davide La Torre, Simone Marsiglio, Franklin Mendivil and Fabio Privileggi
2021doi: 10.3934/dcdsb.2021070 +[Abstract](431) +[HTML](163) +[PDF](1846.22KB)
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](385) +[HTML](160) +[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](529) +[HTML](268) +[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](298) +[HTML](158) +[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](316) +[HTML](144) +[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](297) +[HTML](196) +[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](328) +[HTML](165) +[PDF](454.26KB)
Normal deviation of synchronization of stochastic coupled systems
Jicheng Liu and Meiling Zhao
2021doi: 10.3934/dcdsb.2021079 +[Abstract](293) +[HTML](172) +[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](351) +[HTML](165) +[PDF](362.14KB)
Approximate controllability of the semilinear reaction-diffusion equation governed by a multiplicative control
Mohamed Ouzahra
2021doi: 10.3934/dcdsb.2021081 +[Abstract](353) +[HTML](156) +[PDF](318.79KB)
Discrete-time dynamics of structured populations via Feller kernels
Horst R. Thieme
2021doi: 10.3934/dcdsb.2021082 +[Abstract](317) +[HTML](151) +[PDF](378.4KB)
Positive solutions of singular multiparameter p-Laplacian elliptic systems
Meiqiang Feng and Yichen Zhang
2021doi: 10.3934/dcdsb.2021083 +[Abstract](443) +[HTML](149) +[PDF](385.49KB)
Mixed Hegselmann-Krause dynamics
Hsin-Lun Li
2021doi: 10.3934/dcdsb.2021084 +[Abstract](408) +[HTML](173) +[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](466) +[HTML](177) +[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](407) +[HTML](146) +[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](348) +[HTML](144) +[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](367) +[HTML](194) +[PDF](6944.08KB)
Bifurcation in the almost periodic $ 2 $D Ricker map
Brian Ryals and Robert J. Sacker
2021doi: 10.3934/dcdsb.2021089 +[Abstract](391) +[HTML](194) +[PDF](513.3KB)
Diffusion modeling of tumor-CD4$ ^+ $-cytokine interactions with treatments: asymptotic behavior and stationary patterns
Wenbin Yang, Yujing Gao and Xiaojuan Wang
2021doi: 10.3934/dcdsb.2021090 +[Abstract](530) +[HTML](183) +[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](417) +[HTML](157) +[PDF](379.57KB)
A free boundary problem of the cancer invasion
Yang Zhang
2021doi: 10.3934/dcdsb.2021092 +[Abstract](331) +[HTML](154) +[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](362) +[HTML](147) +[PDF](461.2KB)
Boundary-value problems for weakly singular integral equations
Oleksandr Boichuk and Victor Feruk
2021doi: 10.3934/dcdsb.2021094 +[Abstract](508) +[HTML](177) +[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](334) +[HTML](149) +[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](278) +[HTML](134) +[PDF](1057.33KB)
Slow-fast dynamics and nonlinear oscillations in transmission of mosquito-borne diseases
Chunhua Shan
2021doi: 10.3934/dcdsb.2021097 +[Abstract](364) +[HTML](161) +[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](509) +[HTML](161) +[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](417) +[HTML](162) +[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](332) +[HTML](151) +[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](277) +[HTML](135) +[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](343) +[HTML](149) +[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](264) +[HTML](134) +[PDF](324.05KB)
BMO type space associated with Neumann operator and application to a class of parabolic equations
Zhang Chao and Minghua Yang
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A general multipatch cholera model in periodic environments
Feng-Bin Wang and Xueying Wang
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Transitions and bifurcations of Darcy-Brinkman-Marangoni convection
Zhigang Pan, Yiqiu Mao, Quan Wang and Yuchen Yang
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Pullback random attractors for fractional stochastic $ p $-Laplacian equation with delay and multiplicative noise
Xuping Zhang
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Global stability of HIV/HTLV co-infection model with CTL-mediated immunity
A. M. Elaiw and N. H. AlShamrani
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A switching feedback control approach for persistence of managed resources
Daniel Franco, Chris Guiver, Phoebe Smith and Stuart Townley
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Optimal distributed control for a coupled phase-field system
Bosheng Chen, Huilai Li and Changchun Liu
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Phase transitions of the SIR Rumor spreading model with a variable trust rate
Sun-Ho Choi, Hyowon Seo and Minha Yoo
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Weak Galerkin method for the Stokes equations with damping
Hui Peng and Qilong Zhai
2021doi: 10.3934/dcdsb.2021112 +[Abstract](249) +[HTML](100) +[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
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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
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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](294) +[HTML](124) +[PDF](484.74KB)
Dynamical analysis of a banking duopoly model with capital regulation and asymmetric costs
Serena Brianzoni and Giovanni Campisi
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Speculative behavior and chaotic asset price dynamics: On the emergence of a bandcount accretion bifurcation structure
Anastasiia Panchuk and Frank Westerhoff
2021doi: 10.3934/dcdsb.2021117 +[Abstract](371) +[HTML](134) +[PDF](4040.49KB)
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](345) +[HTML](120) +[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](351) +[HTML](113) +[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](281) +[HTML](152) +[PDF](2247.1KB)
On the family of cubic parabolic polynomials
Alexandre Alves and Mostafa Salarinoghabi
2021doi: 10.3934/dcdsb.2021121 +[Abstract](238) +[HTML](102) +[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
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Mathematical analysis of an age-structured HIV model with intracellular delay
Yuan Yuan and Xianlong Fu
2021doi: 10.3934/dcdsb.2021123 +[Abstract](211) +[HTML](120) +[PDF](909.83KB)
Multiple solutions for Schrödinger lattice systems with asymptotically linear terms and perturbed terms
Guanwei Chen and Martin Schechter
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Singular function emerging from one-dimensional elementary cellular automaton Rule 150
Akane Kawaharada
2021doi: 10.3934/dcdsb.2021125 +[Abstract](241) +[HTML](108) +[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
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Interactions of time delay and spatial diffusion induce the periodic oscillation of the vegetation system
Jing Li, Gui-Quan Sun and Zhen Jin
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Riemann problem for a non-strictly hyperbolic system in chemotaxis
Tong Li and Nitesh Mathur
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A free boundary problem of some modified Leslie-Gower predator-prey model with nonlocal diffusion term
Shiwen Niu, Hongmei Cheng and Rong Yuan
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On existence and numerical approximation in phase-lag thermoelasticity with two temperatures
Marco Campo, Maria I. M. Copetti, José R. Fernández and Ramón Quintanilla
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Aggregation and disaggregation of active particles on the unit sphere with time-dependent frequencies
Dohyun Kim and Jeongho Kim
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Dynamics of a depletion-type Gierer-Meinhardt model with Langmuir-Hinshelwood reaction scheme
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Existence of unstable stationary solutions for nonlinear stochastic differential equations with additive white noise
Xiang Lv
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Existence and asymptotical behavior of positive solutions for the Schrödinger-Poisson system with double quasi-linear terms
Xueqin Peng and Gao Jia
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On a generalized diffusion problem: A complex network approach
Guillaume Cantin and Alexandre Thorel
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Global dynamics analysis of a time-delayed dynamic model of Kawasaki disease pathogenesis
Ke Guo, Wanbiao Ma and Rong Qiang
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Homogenization for stochastic reaction-diffusion equations with singular perturbation term
Yangyang Shi and Hongjun Gao
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Global population dynamics of a single species structured with distinctive time-varying maturation and self-limitation delays
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Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation
Jiaxiang Cai, Juan Chen and Min Chen
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Long time dynamics of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
Tania Biswas and Elisabetta Rocca
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Existence of multiple solutions for a fourth-order problem with variable exponent
Marco Donatelli and Luca Vilasi
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Center manifolds for ill-posed stochastic evolution equations
Zonghao Li and Caibin Zeng
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A three-country Kaldorian business cycle model with fixed exchange rates: A continuous time analysis
Rudolf Zimka, Michal Demetrian, Toichiro Asada and Toshio Inaba
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Optimal control of the SIR epidemic model based on dynamical systems theory
Kazuyuki Yagasaki
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On dynamics in a medium-term Keynesian model
Hiroki Murakami and Rudolf Zimka
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Global solutions to the non-local Navier-Stokes equations
Joelma Azevedo, Juan Carlos Pozo and Arlúcio Viana
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Global well-posedness and exponential stability for the fermion equation in weighted Sobolev spaces
Baoyan Sun and Kung-Chien Wu
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Stochastic perturbation of a cubic anharmonic oscillator
Enrico Bernardi and Alberto Lanconelli
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Time splitting combined with exponential wave integrator Fourier pseudospectral method for quantum Zakharov system
Gengen Zhang
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The model of nutrients influence on the tumor growth
Rudolf Olach, Vincent Lučanský and Božena Dorociaková
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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
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Wave phenomena in a compartmental epidemic model with nonlocal dispersal and relapse
Jia-Bing Wang, Shao-Xia Qiao and Chufen Wu
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A Crank-Nicolson type minimization scheme for a hyperbolic free boundary problem
Yoshiho Akagawa, Elliott Ginder, Syota Koide, Seiro Omata and Karel Svadlenka
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Gaussian invariant measures and stationary solutions of 2D primitive equations
Francesco Grotto and Umberto Pappalettera
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The eigenvalue problem for a class of degenerate operators related to the normalized $ p $-Laplacian
Fang Liu
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Local well-posedness and finite time blowup for fourth-order Schrödinger equation with complex coefficient
Xuan Liu and Ting Zhang
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Corrigendum: On the Abel differential equations of third kind
Regilene Oliveira and Cláudia Valls
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A viral transmission model for foxes-cottontails-hares interaction: Infection through predation
Simona Viale, Elisa Caudera, Sandro Bertolino and Ezio Venturino
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Spatiotemporal dynamics for a diffusive HIV-1 infection model with distributed delays and CTL immune response
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The qualitative behavior of a plankton-fish interaction model with food limited growth rate and non-constant fish harvesting
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Monopoly conditions in a Cournot-Theocharis oligopoly model under adaptive expectations
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On q-deformed logistic maps
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A stabilized nonconforming Nitsche's extended finite element method for Stokes interface problems
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On the mean field limit for Cucker-Smale models
Roberto Natalini and Thierry Paul
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A true three-scroll chaotic attractor coined
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Analysis of stationary patterns arising from a time-discrete metapopulation model with nonlocal competition
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The Lewy-Stampacchia inequality for the fractional Laplacian and its application to anomalous unidirectional diffusion equations
Pu-Zhao Kow and Masato Kimura
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Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights
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Modeling the influence of human population and human population augmented pollution on rainfall
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The effect of spatial variables on the basic reproduction ratio for a reaction-diffusion epidemic model
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Hartman and Nirenberg type results for systems of delay differential equations under $ (\omega,Q) $-periodic conditions
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Stage-structured models for interactive wild and periodically and impulsively released sterile mosquitoes
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Qualitative analysis of a diffusive SEIR epidemic model with linear external source and asymptomatic infection in heterogeneous environment
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Concentration phenomenon of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with spontaneous infection
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Dynamics of a stochastic HIV/AIDS model with treatment under regime switching
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Stable transition layer induced by degeneracy of the spatial inhomogeneities in the Allen-Cahn problem
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Asymptotic behavior for the solutions to a bistable-bistable reaction diffusion equation
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Optimal spiral-like solutions near a singular extremal in a two-input control problem
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Matrix measures, stability and contraction theory for dynamical systems on time scales
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Stability and dynamic transition of vegetation model for flat arid terrains
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Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation
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Simplification of weakly nonlinear systems and analysis of cardiac activity using them
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A quasilinear parabolic-parabolic chemotaxis model with logistic source and singular sensitivity
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Invasive speed for a competition-diffusion system with three species
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Derivation of viscous Saint-Venant system for laminar shallow water; Numerical validation
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2009, 11(3) : 587-611 doi: 10.3934/dcdsb.2009.11.587 +[Abstract](5842) +[PDF](596.7KB) Cited By(79)
Dynamics of a HIV-1 Infection model with cell-mediated immune response and intracellular delay
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Fisher waves in an epidemic model
Xiao-Qiang Zhao and Wendi Wang
2004, 4(4) : 1117-1128 doi: 10.3934/dcdsb.2004.4.1117 +[Abstract](4581) +[PDF](197.7KB) Cited By(75)
Wide stencil finite difference schemes for the elliptic Monge-Ampère equation and functions of the eigenvalues of the Hessian
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A hierarchy of cancer models and their mathematical challenges
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Chemotaxis can prevent thresholds on population density
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2015, 20(5) : 1499-1527 doi: 10.3934/dcdsb.2015.20.1499 +[Abstract](2950) +[PDF](526.1KB) Cited By(60)
The diffusive competition model with a free boundary: Invasion of a superior or inferior competitor
Yihong Du and Zhigui Lin
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Asymptotic behaviour for a class of delayed cooperative models with patch structure
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2013, 18(6) : 1567-1579 doi: 10.3934/dcdsb.2013.18.1567 +[Abstract](2921) +[PDF](334.6KB) PDF Downloads(2999)
Stochastic invariance for neutral functional differential equation with non-lipschitz coefficients
Chunhong Li and Jiaowan Luo
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A review of dynamic Stackelberg game models
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On some properties of the Mittag-Leffler function $\mathbf{E_\alpha(-t^\alpha)}$, completely monotone for $\mathbf{t> 0}$ with $\mathbf{0<\alpha<1}$
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Modeling of contact tracing in epidemic populations structured by disease age
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2015, 20(6) : 1685-1713 doi: 10.3934/dcdsb.2015.20.1685 +[Abstract](2914) +[PDF](968.5KB) PDF Downloads(682)
A multi-stage SIR model for rumor spreading
Sun-Ho Choi, Hyowon Seo and Minha Yoo
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A stochastic SIRI epidemic model with Lévy noise
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The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients
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Well-posedness results for fractional semi-linear wave equations
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Stability and bifurcation analysis of Filippov food chain system with food chain control strategy
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2020 Impact Factor: 1.327
5 Year Impact Factor: 1.492
2020 CiteScore: 2.2

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