Prey–Predator Three Species Model Using Predator Harvesting Holling Type II Functional-Reference-Cited by-同舟云学术

Prey–Predator Three Species Model Using Predator Harvesting Holling Type II Functional

Published:2016-06 Issue:02 Volume:11 Page:87-104
ISSN:1793-0480
Container-title:Biophysical Reviews and Letters
language:en
Short-container-title:Biophys. Rev. Lett.

Author:

Vijaya S.¹,Rekha E.¹

Affiliation:

1. Department of Mathematics, Annamalai University, Annamalai Nagar, Chidambaram 608002, Tamil Nadu, India

Abstract

This paper presents three species harvesting model in which there is one predator species and two others are prey species. We derive boundedness and equilibrium point for this system. Also we derive the stability of this system analytically. We find bifurcation for this system. We have derived the binomic equilibrium point by using Pontryagin’s maximum principle (PMP). Presented are various suitable analytical and numerical examples with Maple 18 programming.

Publisher

World Scientific Pub Co Pte Lt

Subject

Molecular Biology,Structural Biology,Biophysics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793048016500016

Reference8 articles.

1. A bioeconomic modeling of two-prey and one-predator fishery model with optimal harvesting policy through hybridization approach

2. Global dynamics and bifurcation in a stage structured prey–predator fishery model with harvesting

3. Combined harvesting of a stage structured prey–predator model incorporating cannibalism in competitive environment

4. Effects of supplying alternative food in a predator–prey model with harvesting

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