Work

Existence and Asymptotic Behavior of Coexistence States to a Diffusive Holling Type Ii Predator-prey Model With Hunting Cooperation

Year: 2025

Type: article

Abstract: In this paper, we delve into a diffusive Holling type II predator-prey model, incorporating the element of hunting cooperation, and examine it under Dirichlet boundary conditions. Our primary focus is on addressing two pivotal questions: Firstly, we endeavor to establish the existence of coexistence states across a range of hunting cooperation effects. This exploration aims to reveal how the predator and prey species can maintain their coexistence within the ecological system, regardless of the magnitude of cooperation among predators during hunting. Secondly, we are interested in elucidating the asymptotic behavior of these coexistence states as the cooperation parameter approaches infinity. This analysis will provide insights into how the ecological balance shifts as the predators' cooperation increases indefinitely, offering a deeper understanding of the long-term ecological implications of such cooperation.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240251

Authors: Lina Zhang, Xue Xiao

Institutions: National Natural Science Foundation of China, Northwest Normal 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: diamond

Funders: Northwest Normal University, National Natural Science Foundation of China

Award: G326310869