Analysis of a Delayed Reaction-Diffusion Predator–Prey System with Fear Effect and Anti-Predator Behaviour

Autor:	Zhenglong Chen, Shunjie Li, Xuebing Zhang
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	predator–prey system fear effect anti-predator behaviour Hopf bifurcation diffusion Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 18, p 3270 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10183270
Popis:	This paper is devoted to studying the dynamics of a delayed reaction-diffusion predator–prey system incorporating the effects of fear and anti-predator behaviour. First, based on its mathematical model, the global attractor is analyzed and the local stability of its positive equilibria is derived. Moreover, the Hopf bifurcation induced by the time delay variable is also investigated. Furthermore, the existence and non-existence of non-constant positive solutions are analyzed. Finally, numerical simulations are presented to validate the theoretical analysis.
Databáze:	Directory of Open Access Journals
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