Bifurcations of a diffusive predator–prey model with prey‐stage structure and prey‐taxis-Reference-Cited by-同舟云学术

Bifurcations of a diffusive predator–prey model with prey‐stage structure and prey‐taxis

Published:2023-07-20 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Li Yan¹^ORCID,Lv Zhiyi¹,Fan Xiuzhen²

Affiliation:

1. College of Science China University of Petroleum(East China) Qingdao China

2. Yantai Laishan Experimental Middle School (Binhai) Yantai China

Abstract

This paper is concerned with a diffusive predator–prey model with prey‐taxis and prey‐stage structure under the homogeneous Neumann boundary condition. The stability of the unique positive constant equilibrium of the predator–prey model is derived. Hopf bifurcation and steady‐state bifurcation are also concluded.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9581

Reference41 articles.

1. A. J.Lotka Elements of physical biology Williams and Wilkins 1925.

2. H.Malchow S. V.Petrovskii andE.Venturino Spatiotemporal patterns in ecology and epidemiology: theory models and simulation 2007.

3. C. S.Holling The functional response of predators to prey density and its role in mimicry and population regulation Vol. 97 1965 pp.5–60.

4. A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrates

5. The Stability and the Intrinsic Growth Rates of Prey and Predator Populations

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Boundedness and stability of a predator-prey system with prey-stage structure and prey-taxis;Discrete and Continuous Dynamical Systems - B;2024