Work

Complex Dynamical Analysis of Two Prey‐One Predator Model in a Patch Environment Utilizing Spectral Bound

Year: 2025

Type: article

Abstract: ABSTRACT In this article, a two prey‐one predator model in which prey and predator disperse simultaneously in a heterogeneous environment with patches is proposed and analyzed. We prove that the solution of the system is positive and uniformly ultimately bounded. Meanwhile, we use the monotonic theory of spectral bounds to investigate the effect of the dispersal rate on population dynamics. To be precise, we discuss the stability behavior for the trivial equilibrium and semitrivial equilibrium as well as the uniform persistence of the system. Furthermore, we prove the global asymptotic stability of the positive equilibrium by constructing a global Lyapunov function which applies the results from graph theory. Some numerical simulations are provided to show the effectiveness of the theoretical results.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.11054

Authors: Min Zhang, Xuenan Sun, Weipeng Zhang

Institutions: Northeast Normal University, Jinan University

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: bronze

OpenAlex ID: W4411280883

FWCI:

Cites: 26

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Related to: 10