Dynamical analysis of polluted prey-predator system with infected prey

Naina Arya, Palak Mrig, Sumit Kaur Bhatia, Sudipa Chauhan, Puneet Sharma

Abstract


In this paper, a prey-predator model in polluted environment with disease in prey has been proposed and studied. It is assumed that only prey population is prone to disease whereas, both the populations are affected by the pollutant. Boundedness of the solution of the system is discussed. Existence of all possible equilibrium points has been established. Using Routh Hurwitz criterion, local stability of all the possible equilibrium points has been obtained. Also, interior equilibrium point has been proved to be globally asymptotically stable using Lyapunov function. Then time delay has been introduced in the system making the model more realistic. Existence and direction of Hopf bifurcation in the delay model has been established using normal form theory and center manifold theorem. By taking a set of hypothetical and biologically feasible parameters, model has been studied numerically using MATLAB and the effect of pollutant on the system has been deduced.

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Published: 2021-04-14

How to Cite this Article:

Naina Arya, Palak Mrig, Sumit Kaur Bhatia, Sudipa Chauhan, Puneet Sharma, Dynamical analysis of polluted prey-predator system with infected prey, Commun. Math. Biol. Neurosci., 2021 (2021), Article ID 32

Copyright © 2021 Naina Arya, Palak Mrig, Sumit Kaur Bhatia, Sudipa Chauhan, Puneet Sharma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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