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- Title
Analysis of a Delayed Reaction-Diffusion Predator–Prey System with Fear Effect and Anti-Predator Behaviour.
- Authors
Chen, Zhenglong; Li, Shunjie; Zhang, Xuebing
- Abstract
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.
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 18, p3270
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10183270