Title: Effect of pollution on predator-prey systems

Authors: Pinky Lawaniya; Soumya Sinha; Ravinder Kumar

Addresses: Department of Mathematics, Dayalbagh Educational Institute (Deemed University), Dayalbagh, Agra, U.P., 282005, India ' Department of Mathematics, Dayalbagh Educational Institute (Deemed University), Dayalbagh, Agra, U.P., 282005, India ' Department of Mathematics, Dayalbagh Educational Institute (Deemed University), Dayalbagh, Agra, U.P., 282005, India

Abstract: In this paper a mathematical model is proposed to study the effect of environmental pollution on a predator-prey system. The conditions for the local and global stability of the equilibria are obtained. The possibility of occurrence of periodic solutions is analysed and further existence of Hopf Bifurcation with respect to the appropriate parameter is examined. The conditions for uniform persistence of the model are obtained. The results of persistence and Hopf Bifurcation with respect to the appropriate parameter are verified through numerical simulations.

Keywords: predator-prey system; bio-magnification; Gause type model; global stability; persistence; periodic solutions; pollution.

DOI: 10.1504/IJDSDE.2021.117362

International Journal of Dynamical Systems and Differential Equations, 2021 Vol.11 No.3/4, pp.359 - 377

Received: 14 Feb 2020
Accepted: 17 Nov 2020
Published online: 01 Sep 2021 *

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