Complex dynamics of a predator-prey model with opportunistic predator and weak Allee effect in prey

Zhenliang Zhu; Yuming Chen; Fengde Chen; Zhong Li

doi:10.1080/17513758.2023.2225545

Complex dynamics of a predator-prey model with opportunistic predator and weak Allee effect in prey

J Biol Dyn. 2023 Dec;17(1):2225545. doi: 10.1080/17513758.2023.2225545.

Authors

Zhenliang Zhu¹, Yuming Chen², Fengde Chen³, Zhong Li³

Affiliations

¹ College of Mathematics and Data Science, Minjiang University, Fuzhou, Fujian, People's Republic of China.
² Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada.
³ College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, People's Republic of China.

PMID: 37339327
DOI: 10.1080/17513758.2023.2225545

Abstract

In this work, we first modify a Lotka-Volterra predator-prey system to incorporate an opportunistic predator and weak Allee effect in prey. The prey will be extinct if the combined effect of hunting and other food resources of predator is large. Otherwise, the dynamic behaviour of the system is extremely rich. A series of bifurcations such as saddle-node bifurcation, Hopf bifurcation, and Bogdanov-Takens bifurcation can happen. The validity of the theoretical results are supported with numerical simulations.

Keywords: 34C23; 34D20; 92D40; Allee effect; Bogdanov–Takens bifurcation; Hopf bifurcation; Opportunistic predator; predator–prey.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Animals
Ecosystem*
Food Chain*
Models, Biological
Population Dynamics
Predatory Behavior