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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Dynamical Analysis of an Eco-epidemic System with Different Forms of Prey Refuges and Predator Harvesting

Discontinuity, Nonlinearity, and Complexity 13(1) (2024) 95--112 | DOI:10.5890/DNC.2024.03.008

Md Sarijul Islam, Sajjad Hossain, Sahabuddin Sarwardi

Department of Mathematics and Statistics, Aliah University IIA/27, New Town, Kolkata - 700 160, India

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Abstract

The present article deals with an eco-epidemiological model consisting of one prey and two predator population subjected to predator infection and predator harvesting. It has been considered two different types of functional response incorporating linear type refuge for susceptible predator and non-linear type refuge for infected predator. After formulating the model system, the positivity and boundedness of the solution, the persistence of the proposed system have been discussed. Along with the existence and stability of the biologically feasible equilibrium points, different types of bifurcation have been thoroughly investigated and in this regard, some suitable graphical representations are executed. Some numerical results are performed to support our analytical findings.

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