Spatial dynamics for a time-periodic epidemic model in discrete media

SL Wu, H Zhao, X Zhang, CH Hsu - Journal of Differential Equations, 2023 - Elsevier
This paper considers the spreading speed and periodic traveling waves for a time-periodic
epidemic model in discrete media. There were some known results on spatial dynamics for …

Generalized travelling fronts for non-autonomous Fisher-KPP equations with nonlocal diffusion

A Ducrot, Z Jin - Annali di Matematica Pura ed Applicata (1923-), 2021 - Springer
This work is concerned with the study of generalized travelling wave solutions for time
heterogeneous Fisher-KPP equations with nonlocal diffusion. Here we consider general …

Front propagation and blocking of time periodic bistable reaction-diffusion equations in cylindrical domains

WJ Sheng, M Wang, ZC Wang - Calculus of Variations and Partial …, 2023 - Springer
This paper is concerned with the propagation and blocking phenomenon of time periodic
bistable reaction-diffusion equations in cylindrical domains. We first show that there is an …

Propagation Dynamics for Time–Space Periodic and Partially Degenerate Reaction–Diffusion Systems with Time Delay

M Huang, SL Wu, XQ Zhao - Journal of Dynamics and Differential …, 2023 - Springer
This paper is concerned with the propagation dynamics of a large class of time–space
periodic and partially degenerate reaction–diffusion systems with time delay and …

Spreading speeds and traveling waves for a time periodic DS-IA epidemic model

X Yang, G Lin - Nonlinear Analysis: Real World Applications, 2022 - Elsevier
This paper is devoted to studying the speed of asymptotic spreading and minimal wave
speed of traveling wave solutions for a time periodic and diffusive DS-IA epidemic model …

Spreading speed and traveling wave solutions of a reaction–diffusion Zika model with constant recruitment

L Zhao - Nonlinear Analysis: Real World Applications, 2023 - Elsevier
In this paper, we analyze spreading speed and traveling wave solutions of a reaction–
diffusion Zika model with constant recruitment. By using the basic reproduction number R 0 …

Periodic traveling waves for a diffusive SIR epidemic model with general nonlinear incidence and external supplies

W Wu, Z Teng - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
In this paper, we propose a non-autonomous reaction–diffusion SIR infectious disease
model with nonlinear incidence, taking fully into account the effects of periodic …

Propagation dynamics for a time-periodic reaction–diffusion SI epidemic model with periodic recruitment

L Zhao, ZC Wang, L Zhang - Zeitschrift für angewandte Mathematik und …, 2021 - Springer
The paper is devoted to the study of the asymptotic speed of spread and traveling wave
solutions for a time-periodic reaction–diffusion SI epidemic model which lacks the …

Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems

S Ai, Y Du, Y Jiao, R Peng - Nonlinearity, 2023 - iopscience.iop.org
In this paper we establish a sharp existence result on weak traveling wave solutions for a
general class of multi-species reaction–diffusion systems. Moreover, the minimal speed of …

Spreading speeds for time heterogeneous prey–predator systems with diffusion

A Ducrot, Z Jin - Nonlinear Analysis: Real World Applications, 2023 - Elsevier
We investigate the large time behavior for two components reaction–diffusion systems of
prey–predator type in a time varying environment. Here we assume that these variations in …