Research PaperNo Access

Modeling and Analysis of an Ecological System Incorporating Infection and Prey Refuge

Soovoojeet Jana

Department of Mathematics, Ramsaday College, Amta-711401, West Bengal, India

E-mail Address: soovoojeet@gmail.com

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Samadyuti Haldar

Department of Mathematics, Hooghly Womens’ College, Pipulpati, Hooghly-712103, West Bengal, India

E-mail Address: samdt_h@yahoo.co.in

E-mail Address: samadyuti.h@gmail.com

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Debabrata Das

Department of Mathematics, B. P. Poddar Institute of Management and Technology, Kolkata, Kolkata-700052, West Bengal, India

E-mail Address: debuju84@gmail.com

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Swapan Kumar Nandi

Department of Mathematics, Indian Institute Engineering Science and Technology, Shibpur, Howrah-711103, India

E-mail Address: nandi.swapan89@gmail.com

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, and

T. K. Kar

Department of Mathematics, Indian Institute Engineering Science and Technology, Shibpur, Howrah-711103, India

E-mail Address: tkar1117@gmail.com

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https://doi.org/10.1142/S179304801850011XCited by:2 (Source: Crossref)

Abstract

This paper describes a prey–predator type ecological model with infection in the prey populations. We also consider here a nonlinear functional response for disease transmission and a constant amount of refuge for the sound prey populations. The dynamical behavior of the mathematical model is described from the point of view of stability and bifurcation. A geometric method is also applied to establish the global asymptotic stability at the co-existence equilibrium point. Some computer simulation works have been presented to illustrate the theoretical results.

Keywords:

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