A Mathematical Study for the Stability of Two Predator and One Prey with Infection in First Predator Using Fuzzy Impulsive Control
Year: 2023
Author: Khushbu Singh, Kolla Kaladhar
Annals of Applied Mathematics, Vol. 39 (2023), Iss. 1 : pp. 29–48
Abstract
In this study, we develop a set of ordinary differential equations that represents the dynamics of an ecosystem with two predators and one prey, but only the first predator population is affected by an infectious disease. The Lotka-Volterra predator-prey system’s model stability have been examined using the Takagi-Sugeno (T-S) impulsive control model and the Fuzzy impulsive control model. Following the formulation of the model, the global stabilities and the Fuzzy solution are carried out through numerical simulations and graphical representations with appropriate discussion for better understanding the dynamics of our proposed model.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aam.OA-2023-0003
Annals of Applied Mathematics, Vol. 39 (2023), Iss. 1 : pp. 29–48
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Prey-predator system T-S model stability eco-epidemiology.