Detection of Hopf bifurcations induced by pregnancy and maturation delays in a spatial predator–prey model via crossing curves method

S Li, C Huang, X Song - Chaos, Solitons & Fractals, 2023 - Elsevier
We investigate the stability switches behaviors due to Hopf bifurcations triggered by
maturation and pregnancy delays for a diffusive predator–prey model under the joint impacts …

Double Hopf bifurcation induced by spatial memory in a diffusive predator–prey model with Allee effect and maturation delay of predator

S Li, S Yuan, Z Jin, H Wang - Communications in Nonlinear Science and …, 2024 - Elsevier
In this paper, we delve into double Hopf bifurcation induced by memory-driven directed
movement in a spatial predator–prey model with Allee effect and maturation delay of …

Dynamics of the epidemiological Predator–Prey system in advective environments

Y Hua, Z Du, J Liu - Journal of Mathematical Biology, 2024 - Springer
This paper aims to establish the existence of traveling wave solutions connecting different
equilibria for a spatial eco-epidemiological predator–prey system in advective environments …

[PDF][PDF] Stability and bifurcation of a delayed prey-predator eco-epidemiological model with the impact of media

XY Meng, MM Lu - AIMS Math, 2023 - aimspress.com
In this paper, a delayed prey-predator eco-epidemiological model with the nonlinear media
is considered. First, the positivity and boundedness of solutions are given. Then, the basic …

The Lotka-Volterra Dynamical System and Its Discretization

M Lemos-Silva, DFM Torres - Advanced Mathematical Analysis …, 2023 - taylorfrancis.com
Dynamical systems are a valuable asset for the study of population dynamics. On this topic,
much has been done since Lotka and Volterra presented the very first continuous system to …

Numerical convergence of a Telegraph Predator-Prey System

KS Luiz, J Organista, ER Cirilo, NML Romeiro… - arXiv preprint arXiv …, 2022 - arxiv.org
The numerical convergence of a Telegraph Predator-Prey system is studied. This system of
partial differential equations (PDEs) can describe various biological systems with reactive …

[引用][C] Dynamics of a stochastic predator–prey model with disease in predators and Ornstein–Uhlenbeck process

M Yuan, W Ning, C Zhao, T Zhang… - International Journal of …, 2024 - World Scientific
Invasive species can inflict significant harm on biodiversity and disrupt ecosystem stability.
Introducing pathogens to combat invasive species is recognized as an effective method for …