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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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Modeling error of $ \alpha $-models of turbulence on a two-dimensional torus
Luigi C. Berselli, Argus Adrian Dunca, Roger Lewandowski and Dinh Duong Nguyen
2021, 26(9) : 4613-4643 doi: 10.3934/dcdsb.2020305 +[Abstract](623) +[HTML](204) +[PDF](440.58KB)
Impulses in driving semigroups of nonautonomous dynamical systems: Application to cascade systems
Everaldo de Mello Bonotto, Matheus Cheque Bortolan, Rodolfo Collegari and José Manuel Uzal
2021, 26(9) : 4645-4661 doi: 10.3934/dcdsb.2020306 +[Abstract](411) +[HTML](201) +[PDF](342.63KB)
Analytic solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell
Xuming Xie
2021, 26(9) : 4663-4680 doi: 10.3934/dcdsb.2020307 +[Abstract](409) +[HTML](197) +[PDF](381.76KB)
Non-autonomous stochastic evolution equations of parabolic type with nonlocal initial conditions
Pengyu Chen and Xuping Zhang
2021, 26(9) : 4681-4695 doi: 10.3934/dcdsb.2020308 +[Abstract](430) +[HTML](211) +[PDF](349.07KB)
Sub-critical and critical stochastic quasi-geostrophic equations with infinite delay
Tongtong Liang and Yejuan Wang
2021, 26(9) : 4697-4726 doi: 10.3934/dcdsb.2020309 +[Abstract](566) +[HTML](200) +[PDF](434.92KB)
Existence-uniqueness and stability of the mild periodic solutions to a class of delayed stochastic partial differential equations and its applications
Qi Yao, Linshan Wang and Yangfan Wang
2021, 26(9) : 4727-4743 doi: 10.3934/dcdsb.2020310 +[Abstract](474) +[HTML](234) +[PDF](732.11KB)
Local structure-preserving algorithms for the molecular beam epitaxy model with slope selection
Lin Lu, Qi Wang, Yongzhong Song and Yushun Wang
2021, 26(9) : 4745-4765 doi: 10.3934/dcdsb.2020311 +[Abstract](579) +[HTML](282) +[PDF](8422.29KB)
Invasion dynamics of a diffusive pioneer-climax model: Monotone and non-monotone cases
Yuxiang Zhang and Shiwang Ma
2021, 26(9) : 4767-4788 doi: 10.3934/dcdsb.2020312 +[Abstract](495) +[HTML](188) +[PDF](447.24KB)
Propagation phenomena for a criss-cross infection model with non-diffusive susceptible population in periodic media
Liangliang Deng and Zhi-Cheng Wang
2021, 26(9) : 4789-4814 doi: 10.3934/dcdsb.2020313 +[Abstract](409) +[HTML](199) +[PDF](434.99KB)
Novel entire solutions in a nonlocal 2-D discrete periodic media for bistable dynamics
Zhixian Yu, Rong Yuan and Shaohua Gan
2021, 26(9) : 4815-4838 doi: 10.3934/dcdsb.2020314 +[Abstract](396) +[HTML](209) +[PDF](454.1KB)
On a matrix-valued PDE characterizing a contraction metric for a periodic orbit
Peter Giesl
2021, 26(9) : 4839-4865 doi: 10.3934/dcdsb.2020315 +[Abstract](400) +[HTML](201) +[PDF](662.6KB)
Threshold dynamics of a delayed nonlocal reaction-diffusion cholera model
Weiwei Liu, Jinliang Wang and Yuming Chen
2021, 26(9) : 4867-4885 doi: 10.3934/dcdsb.2020316 +[Abstract](526) +[HTML](220) +[PDF](376.66KB)
A stochastic differential equation SIS epidemic model with regime switching
Siyang Cai, Yongmei Cai and Xuerong Mao
2021, 26(9) : 4887-4905 doi: 10.3934/dcdsb.2020317 +[Abstract](605) +[HTML](212) +[PDF](582.77KB)
A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation
Leilei Wei and Yinnian He
2021, 26(9) : 4907-4926 doi: 10.3934/dcdsb.2020319 +[Abstract](526) +[HTML](191) +[PDF](803.73KB)
On existence and uniqueness properties for solutions of stochastic fixed point equations
Christian Beck, Lukas Gonon, Martin Hutzenthaler and Arnulf Jentzen
2021, 26(9) : 4927-4962 doi: 10.3934/dcdsb.2020320 +[Abstract](533) +[HTML](231) +[PDF](481.08KB)
A nonlinear fractional reaction-diffusion system applied to image denoising and decomposition
Abdelghafour Atlas, Mostafa Bendahmane, Fahd Karami, Driss Meskine and Omar Oubbih
2021, 26(9) : 4963-4998 doi: 10.3934/dcdsb.2020321 +[Abstract](708) +[HTML](259) +[PDF](2292.79KB)
A comparative study of atomistic-based stress evaluation
Shuyang Dai, Fengru Wang, Jerry Zhijian Yang and Cheng Yuan
2021, 26(9) : 4999-5021 doi: 10.3934/dcdsb.2020322 +[Abstract](420) +[HTML](246) +[PDF](950.84KB)
Asymptotic behaviors and stochastic traveling waves in stochastic Fisher-KPP equations
Zhenzhen Wang and Tianshou Zhou
2021, 26(9) : 5023-5045 doi: 10.3934/dcdsb.2020323 +[Abstract](498) +[HTML](188) +[PDF](369.82KB)
Stochastic modelling and analysis of harvesting model: Application to "summer fishing moratorium" by intermittent control
Xiaoling Zou and Yuting Zheng
2021, 26(9) : 5047-5066 doi: 10.3934/dcdsb.2020332 +[Abstract](404) +[HTML](204) +[PDF](622.73KB)
Traveling wave solutions for a cancer stem cell invasion model
Caleb Mayer and Eric Stachura
2021, 26(9) : 5067-5093 doi: 10.3934/dcdsb.2020333 +[Abstract](446) +[HTML](202) +[PDF](482.8KB)
Global boundedness of classical solutions to a logistic chemotaxis system with singular sensitivity
Xiangdong Zhao
2021, 26(9) : 5095-5100 doi: 10.3934/dcdsb.2020334 +[Abstract](390) +[HTML](186) +[PDF](294.04KB)
Persistence and extinction of a stochastic SIS epidemic model with regime switching and Lévy jumps
Shangzhi Li and Shangjiang Guo
2021, 26(9) : 5101-5134 doi: 10.3934/dcdsb.2020335 +[Abstract](429) +[HTML](188) +[PDF](1446.2KB)
Long time localization of modified surface quasi-geostrophic equations
Guido Cavallaro, Roberto Garra and Carlo Marchioro
2021, 26(9) : 5135-5148 doi: 10.3934/dcdsb.2020336 +[Abstract](452) +[HTML](198) +[PDF](320.36KB)
Recurrent solutions of the Schrödinger-KdV system with boundary forces
Mo Chen
2021, 26(9) : 5149-5170 doi: 10.3934/dcdsb.2020337 +[Abstract](333) +[HTML](194) +[PDF](413.39KB)
Input-to-state stability and Lyapunov functions with explicit domains for SIR model of infectious diseases
Hiroshi Ito
2021, 26(9) : 5171-5196 doi: 10.3934/dcdsb.2020338 +[Abstract](378) +[HTML](200) +[PDF](620.22KB)
The threshold dynamics of a discrete-time echinococcosis transmission model
Cuicui Li, Lin Zhou, Zhidong Teng and Buyu Wen
2020doi: 10.3934/dcdsb.2020339 +[Abstract](528) +[HTML](222) +[PDF](2005.29KB)
A posteriori error estimate of weak Galerkin fem for second order elliptic problem with mixed boundary condition
Shenglan Xie, Maoan Han and Peng Zhu
2020doi: 10.3934/dcdsb.2020340 +[Abstract](514) +[HTML](204) +[PDF](1094.51KB)
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
2020doi: 10.3934/dcdsb.2020341 +[Abstract](471) +[HTML](201) +[PDF](765.02KB)
Complex oscillatory patterns near singular Hopf bifurcation in a two-timescale ecosystem
Susmita Sadhu
2020doi: 10.3934/dcdsb.2020342 +[Abstract](642) +[HTML](210) +[PDF](3254.65KB)
Combined therapy for treating solid tumors with chemotherapy and angiogenic inhibitors
Adam Glick and Antonio Mastroberardino
2020doi: 10.3934/dcdsb.2020343 +[Abstract](527) +[HTML](259) +[PDF](1029.42KB)
Codimension one and two bifurcations in Cattaneo-Christov heat flux model
Zhouchao Wei, Wei Zhang, Irene Moroz and Nikolay V. Kuznetsov
2020doi: 10.3934/dcdsb.2020344 +[Abstract](500) +[HTML](240) +[PDF](795.37KB)
Singular support of the global attractor for a damped BBM equation
Jianhua Huang, Yanbin Tang and Ming Wang
2020doi: 10.3934/dcdsb.2020345 +[Abstract](469) +[HTML](221) +[PDF](354.48KB)
Qualitative analysis of a generalized Nosé-Hoover oscillator
Qianqian Han and Xiao-Song Yang
2020doi: 10.3934/dcdsb.2020346 +[Abstract](365) +[HTML](193) +[PDF](349.78KB)
Optimal control strategies for an online game addiction model with low and high risk exposure
Youming Guo and Tingting Li
2020doi: 10.3934/dcdsb.2020347 +[Abstract](514) +[HTML](204) +[PDF](729.29KB)
Existence of strong solution for the Cauchy problem of fully compressible Navier-Stokes equations in two dimensions
Zhilei Liang and Jiangyu Shuai
2020doi: 10.3934/dcdsb.2020348 +[Abstract](438) +[HTML](185) +[PDF](450.33KB)
Effective reduction of a three-dimensional circadian oscillator model
Shuang Chen, Jinqiao Duan and Ji Li
2020doi: 10.3934/dcdsb.2020349 +[Abstract](478) +[HTML](180) +[PDF](728.38KB)
Random attractors for stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
Leanne Dong
2020doi: 10.3934/dcdsb.2020352 +[Abstract](502) +[HTML](189) +[PDF](468.15KB)
Norm inflation for the Boussinesq system
Zongyuan Li and Weinan Wang
2020doi: 10.3934/dcdsb.2020353 +[Abstract](499) +[HTML](172) +[PDF](323.04KB)
On an initial and final value problem for fractional nonclassical diffusion equations of Kirchhoff type
Nguyen Huy Tuan
2020doi: 10.3934/dcdsb.2020354 +[Abstract](544) +[HTML](179) +[PDF](674.04KB)
High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation
Abdollah Borhanifar, Maria Alessandra Ragusa and Sohrab Valizadeh
2020doi: 10.3934/dcdsb.2020355 +[Abstract](422) +[HTML](167) +[PDF](365.54KB)
A diffusive weak Allee effect model with U-shaped emigration and matrix hostility
Nalin Fonseka, Jerome Goddard II, Ratnasingham Shivaji and Byungjae Son
2020doi: 10.3934/dcdsb.2020356 +[Abstract](375) +[HTML](203) +[PDF](817.57KB)
The spatially heterogeneous diffusive rabies model and its shadow system
Yuxin Zhang
2020doi: 10.3934/dcdsb.2020357 +[Abstract](514) +[HTML](185) +[PDF](518.52KB)
The effect of surface pattern property on the advancing motion of three-dimensional droplets
Hua Zhong, Xiaolin Fan and Shuyu Sun
2020doi: 10.3934/dcdsb.2020366 +[Abstract](423) +[HTML](193) +[PDF](3771.13KB)
Strong convergence rates for markovian representations of fractional processes
Philipp Harms
2020doi: 10.3934/dcdsb.2020367 +[Abstract](415) +[HTML](178) +[PDF](4157.51KB)
Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve
Huanhuan Tian and Maoan Han
2020doi: 10.3934/dcdsb.2020368 +[Abstract](461) +[HTML](166) +[PDF](1088.96KB)
Mathematical analysis of a three-tiered food-web in the chemostat
Sarra Nouaoura, Radhouane Fekih-Salem, Nahla Abdellatif and Tewfik Sari
2020doi: 10.3934/dcdsb.2020369 +[Abstract](486) +[HTML](175) +[PDF](1143.99KB)
Stable transition layers in an unbalanced bistable equation
Maicon Sônego
2020doi: 10.3934/dcdsb.2020370 +[Abstract](472) +[HTML](160) +[PDF](367.05KB)
Permanence, extinction and periodic solution of a stochastic single-species model with Lévy noises
Jiangtao Yang
2020doi: 10.3934/dcdsb.2020371 +[Abstract](480) +[HTML](165) +[PDF](607.06KB)
Parameter identification on Abelian integrals to achieve Chebyshev property
Xianbo Sun, Zhanbo Chen and Pei Yu
2020doi: 10.3934/dcdsb.2020375 +[Abstract](322) +[HTML](156) +[PDF](598.4KB)
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
2020doi: 10.3934/dcdsb.2020376 +[Abstract](485) +[HTML](234) +[PDF](593.12KB)
Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum
Tong Tang and Jianzhu Sun
2020doi: 10.3934/dcdsb.2020377 +[Abstract](333) +[HTML](155) +[PDF](367.76KB)
System specific triangulations for the construction of CPA Lyapunov functions
Peter Giesl and Sigurdur Hafstein
2020doi: 10.3934/dcdsb.2020378 +[Abstract](363) +[HTML](158) +[PDF](9135.26KB)
Feedback synchronization of FHN cellular neural networks
Leslaw Skrzypek and Yuncheng You
2020doi: 10.3934/dcdsb.2021001 +[Abstract](341) +[HTML](152) +[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](319) +[HTML](151) +[PDF](323.06KB)
Dynamic transitions of the Swift-Hohenberg equation with third-order dispersion
Kevin Li
2020doi: 10.3934/dcdsb.2021003 +[Abstract](294) +[HTML](157) +[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](600) +[HTML](170) +[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](313) +[HTML](156) +[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](420) +[HTML](167) +[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](416) +[HTML](191) +[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](321) +[HTML](165) +[PDF](408.14KB)
Stochastic and deterministic SIS patch model
Ténan Yeo
2020doi: 10.3934/dcdsb.2021012 +[Abstract](319) +[HTML](146) +[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](342) +[HTML](151) +[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](363) +[HTML](136) +[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](367) +[HTML](172) +[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](584) +[HTML](190) +[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](303) +[HTML](131) +[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](325) +[HTML](150) +[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](315) +[HTML](168) +[PDF](474.46KB)
Singularity formation to the nonhomogeneous magneto-micropolar fluid equations
Xin Zhong
2021doi: 10.3934/dcdsb.2021021 +[Abstract](352) +[HTML](145) +[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](330) +[HTML](138) +[PDF](520.74KB)
Global attractors of two layer baroclinic quasi-geostrophic model
Yanhong Zhang
2021doi: 10.3934/dcdsb.2021023 +[Abstract](279) +[HTML](132) +[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](286) +[HTML](141) +[PDF](374.69KB)
The multi-patch logistic equation
Bilel Elbetch, Tounsia Benzekri, Daniel Massart and Tewfik Sari
2021doi: 10.3934/dcdsb.2021025 +[Abstract](370) +[HTML](140) +[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](315) +[HTML](124) +[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](314) +[HTML](139) +[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](285) +[HTML](131) +[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](232) +[HTML](133) +[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](212) +[HTML](127) +[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](240) +[HTML](119) +[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](245) +[HTML](130) +[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](283) +[HTML](132) +[PDF](2713.27KB)
Existence of $ \mathcal{D}- $pullback attractor for an infinite dimensional dynamical system
Mustapha Yebdri
2021doi: 10.3934/dcdsb.2021036 +[Abstract](221) +[HTML](128) +[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](304) +[HTML](146) +[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](246) +[HTML](138) +[PDF](310.78KB)
Phase portraits of the Higgins–Selkov system
Jaume Llibre and Marzieh Mousavi
2021doi: 10.3934/dcdsb.2021039 +[Abstract](307) +[HTML](168) +[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](230) +[HTML](128) +[PDF](342.26KB)
Survival analysis for tumor growth model with stochastic perturbation
Dongxi Li, Ni Zhang, Ming Yan and Yanya Xing
2021doi: 10.3934/dcdsb.2021041 +[Abstract](315) +[HTML](149) +[PDF](425.53KB)
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](254) +[HTML](134) +[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](225) +[HTML](124) +[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](239) +[HTML](156) +[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](245) +[HTML](134) +[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](275) +[HTML](194) +[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](302) +[HTML](134) +[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](214) +[HTML](127) +[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](173) +[HTML](118) +[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](252) +[HTML](112) +[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](305) +[HTML](121) +[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](234) +[HTML](123) +[PDF](382.21KB)
A learning-enhanced projection method for solving convex feasibility problems
Janosch Rieger
2021doi: 10.3934/dcdsb.2021054 +[Abstract](163) +[HTML](106) +[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](212) +[HTML](120) +[PDF](365.0KB)
Asymptotics of singularly perturbed damped wave equations with super-cubic exponent
Dandan Li
2021doi: 10.3934/dcdsb.2021056 +[Abstract](182) +[HTML](98) +[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](224) +[HTML](123) +[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](299) +[HTML](155) +[PDF](726.46KB)
Qualitative analysis of integro-differential equations with variable retardation
Martin Bohner and Osman Tunç
2021doi: 10.3934/dcdsb.2021059 +[Abstract](207) +[HTML](208) +[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](194) +[HTML](124) +[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](234) +[HTML](123) +[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](256) +[HTML](121) +[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](175) +[HTML](96) +[PDF](428.83KB)
On the Lorenz '96 model and some generalizations
John Kerin and Hans Engler
2021doi: 10.3934/dcdsb.2021064 +[Abstract](183) +[HTML](105) +[PDF](1421.34KB)
Single-target networks
Gheorghe Craciun, Jiaxin Jin and Polly Y. Yu
2021doi: 10.3934/dcdsb.2021065 +[Abstract](226) +[HTML](89) +[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](303) +[HTML](99) +[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](282) +[HTML](88) +[PDF](372.72KB)
Stability of hydrostatic equilibrium to the 2D fractional Boussinesq equations
Liangliang Ma
2021doi: 10.3934/dcdsb.2021068 +[Abstract](220) +[HTML](101) +[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](233) +[HTML](107) +[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](288) +[HTML](93) +[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](243) +[HTML](87) +[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](335) +[HTML](164) +[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](181) +[HTML](91) +[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](129) +[HTML](62) +[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](163) +[HTML](101) +[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](198) +[HTML](86) +[PDF](454.26KB)
Normal deviation of synchronization of stochastic coupled systems
Jicheng Liu and Meiling Zhao
2021doi: 10.3934/dcdsb.2021079 +[Abstract](174) +[HTML](90) +[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](220) +[HTML](89) +[PDF](362.14KB)
Approximate controllability of the semilinear reaction-diffusion equation governed by a multiplicative control
Mohamed Ouzahra
2021doi: 10.3934/dcdsb.2021081 +[Abstract](203) +[HTML](89) +[PDF](318.79KB)
Discrete-time dynamics of structured populations via Feller kernels
Horst R. Thieme
2021doi: 10.3934/dcdsb.2021082 +[Abstract](199) +[HTML](84) +[PDF](378.4KB)
Positive solutions of singular multiparameter p-Laplacian elliptic systems
Meiqiang Feng and Yichen Zhang
2021doi: 10.3934/dcdsb.2021083 +[Abstract](222) +[HTML](82) +[PDF](385.49KB)
Mixed Hegselmann-Krause dynamics
Hsin-Lun Li
2021doi: 10.3934/dcdsb.2021084 +[Abstract](238) +[HTML](101) +[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](251) +[HTML](94) +[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](238) +[HTML](83) +[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](212) +[HTML](80) +[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](208) +[HTML](122) +[PDF](6944.08KB)
Bifurcation in the almost periodic $ 2 $D Ricker map
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2021doi: 10.3934/dcdsb.2021089 +[Abstract](218) +[HTML](111) +[PDF](513.3KB)
Diffusion modeling of tumor-CD4$ ^+ $-cytokine interactions with treatments: asymptotic behavior and stationary patterns
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Global existence and asymptotic behavior of weak solutions for time-space fractional Kirchhoff-type diffusion equations
Yongqiang Fu and Xiaoju Zhang
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A free boundary problem of the cancer invasion
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Regularity of global attractors and exponential attractors for $ 2 $D quasi-geostrophic equations with fractional dissipation
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Boundary-value problems for weakly singular integral equations
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2021doi: 10.3934/dcdsb.2021094 +[Abstract](237) +[HTML](88) +[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](184) +[HTML](79) +[PDF](1468.85KB)
A nonsmooth van der Pol-Duffing oscillator (I): The sum of indices of equilibria is $ -1 $
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2021doi: 10.3934/dcdsb.2021096 +[Abstract](148) +[HTML](71) +[PDF](1057.33KB)
Slow-fast dynamics and nonlinear oscillations in transmission of mosquito-borne diseases
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2021doi: 10.3934/dcdsb.2021097 +[Abstract](175) +[HTML](76) +[PDF](3589.84KB)
The dynamic properties of a generalized Kawahara equation with Kuramoto-Sivashinsky perturbation
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2021doi: 10.3934/dcdsb.2021098 +[Abstract](302) +[HTML](84) +[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](217) +[HTML](76) +[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](146) +[HTML](72) +[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](147) +[HTML](72) +[PDF](2197.88KB)
Linear programming estimates for Cesàro and Abel limits of optimal values in optimal control problems
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2021doi: 10.3934/dcdsb.2021102 +[Abstract](160) +[HTML](80) +[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](132) +[HTML](64) +[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
2021doi: 10.3934/dcdsb.2021106 +[Abstract](161) +[HTML](80) +[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](161) +[HTML](62) +[PDF](393.29KB)
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
2021doi: 10.3934/dcdsb.2021109 +[Abstract](84) +[HTML](55) +[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](188) +[HTML](78) +[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](78) +[HTML](28) +[PDF](740.38KB)
Weak Galerkin method for the Stokes equations with damping
Hui Peng and Qilong Zhai
2021doi: 10.3934/dcdsb.2021112 +[Abstract](85) +[HTML](33) +[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](183) +[HTML](59) +[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
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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](146) +[HTML](57) +[PDF](484.74KB)
Dynamical analysis of a banking duopoly model with capital regulation and asymmetric costs
Serena Brianzoni and Giovanni Campisi
2021doi: 10.3934/dcdsb.2021116 +[Abstract](200) +[HTML](95) +[PDF](3943.64KB)
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](175) +[HTML](60) +[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](170) +[HTML](40) +[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](115) +[HTML](35) +[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](122) +[HTML](67) +[PDF](2247.1KB)
On the family of cubic parabolic polynomials
Alexandre Alves and Mostafa Salarinoghabi
2021doi: 10.3934/dcdsb.2021121 +[Abstract](91) +[HTML](33) +[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](80) +[HTML](40) +[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](72) +[HTML](44) +[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](100) +[HTML](49) +[PDF](282.76KB)
Singular function emerging from one-dimensional elementary cellular automaton Rule 150
Akane Kawaharada
2021doi: 10.3934/dcdsb.2021125 +[Abstract](114) +[HTML](42) +[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](107) +[HTML](58) +[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](127) +[HTML](99) +[PDF](2421.79KB)
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
Mengxin Chen, Ranchao Wu and Yancong Xu
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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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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
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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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Derivation of viscous Saint-Venant system for laminar shallow water; Numerical validation
Jean-Frédéric Gerbeau and Benoit Perthame
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Optimal control of treatments in a two-strain tuberculosis model
E. Jung, Suzanne Lenhart and Z. Feng
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Analysis of upscaling absolute permeability
X.H. Wu, Y. Efendiev and Thomas Y. Hou
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Optimal control of vector-borne diseases: Treatment and prevention
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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
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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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A review of dynamic Stackelberg game models
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Modeling of contact tracing in epidemic populations structured by disease age
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