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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Mathematical Analysis of an Eco-Epidemic Model with Different Functional Responses of Healthy and Infected Predators on Prey Species

Journal of Applied Nonlinear Dynamics 9(4) (2020) 667--684 | DOI:10.5890/JAND.2020.12.010

Harekrishna Das$^{1}$, Absos Ali Shaikh$^{1}$ , Sahabuddin Sarwardi$^{2}$

$^{1}$ Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India

$^{2}$ Department of Mathematics & Statistics, Aliah University, IIA/27, New Town, Kolkata-700 160, West Bengal, India

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Abstract

This article describes a mathematical model for a predator-prey system with two types of functional responses and a transmissible disease in the predator species. The effect of stocking of healthy predator in healthy predator species class and harvesting of healthy predator are analyzed. The essential mathematical features of the proposed eco-epidemic system such as boundedness, positivity, local and global stability and Hopf bifurcation are discussed. Numerical simulations are also performed to validate the theoretical results obtained.

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