Work

Bifurcations of Codimension Three in a Leslie-gower Type Predator-prey System With Herd Behavior and Predator Harvesting

Year: 2025

Type: article

Abstract: A Leslie-Gower type predator-prey system with herd behavior in prey and constant harvesting in predators is considered in this paper. It is shown that there are two non-hyperbolic equilibria, one is a nilpotent cusp of codimension at most three and the other one is a weak focus of multiplicity also at most three. A complete analysis on bifurcations with codimension three is given as the bifurcation parameters vary, which includes a Bogdanov-Takens bifurcation of codimension three and a degenerate Hopf bifurcation of codimension three. The results indicate that the Leslie-Gower type system exhibits richer bifurcations than the classic Leslie-Gower model and also reveal the complexity of the interaction between the prey, predators and humans.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240107

Authors: Yong Yao, Jun He

Institution: Wuhan Institute of Technology

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Wuhan Institute of Technology

Award: G3274991432