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ISSN:2325-6192 (print)
ISSN:2325-6206 (online)
Journal of Environmental Accounting and Management
António Mendes Lopes (editor), Jiazhong Zhang(editor)
António Mendes Lopes (editor)

University of Porto, Portugal

Email: aml@fe.up.pt

Jiazhong Zhang (editor)

School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi Province 710049, China

Fax: +86 29 82668723 Email: jzzhang@mail.xjtu.edu.cn

Stability Analysis of a T-S Prey-Predator Model with Disease in both Species using Fuzzy Impulsive Control

Journal of Environmental Accounting and Management 12(3) (2024) 231--247 | DOI:10.5890/JEAM.2024.09.002

K. Kaladhar, Khushbu Singh

Department of Mathematics, National Institute of Technology, Warangal-506004, India

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Abstract

The objective of this paper is to investigate the dynamical behavior of a prey-predator system in which disease infection is in both the prey and predator populations. Prey and Predators are divided into two categories - the susceptible and the infected. The Lotka-Volterra predator-prey system's stability is investigated using the Takagi-Sugeno (T-S) impulsive control model and the Fuzzy impulsive control model. A system of four differential equations has been proposed and analyzed. The Takagi-Sugeno (T-S) impulsive control model and the fuzzy impulsive control model are used to explore the stability of the Lotka-Volterra predator-prey system. Numerical simulation provides the global stabilities and the fuzzy solution.

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