Complex dynamics of a four-species food-web model: An analysis through Beddington-DeAngelis functional response in the presence of additional food-Reference-Cited by-同舟云学术

Complex dynamics of a four-species food-web model: An analysis through Beddington-DeAngelis functional response in the presence of additional food

Published:2023-01-01 Issue:1 Volume:11 Page:
ISSN:2544-7297
Container-title:Computational and Mathematical Biophysics
language:en
Short-container-title:

Author:

Rani Surbhi¹,Gakkhar Sunita¹,Singh Anuraj²

Affiliation:

1. Department of Mathematics, Indian Institute of Technology Roorkee , Uttarakhand , India

2. Department of Engineering Sciences, Atal Bihari Vajpayee Indian Institute of Information Technology and Management , Gwalior , Madhya Pradesh , India

Abstract

Abstract The four-dimensional food-web system consisting of two prey species for a generalist middle predator and a top predator is proposed and investigated. The middle predator is predating over both the prey species with a modified Holling type-II functional response. The food-web model is effectively formulated, exhibits bounded behavior, and displays dissipative dynamics. The proposed model’s essential dynamical features are studied regarding local stability. We investigated the four species’ survival and established their persistence criteria. In the proposed model, a transcritical bifurcation occurs at the axial equilibrium point. The numerical simulations reveal the persistence of a chaotic attractor or stable focus. The conclusion is that increasing the food available to the middle predator may make it possible to manage and mitigate the chaos within the food chain.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/cmb-2023-0116/pdf

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