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A Mathematical Study for the Stability of Two Predator and One Prey with Infection in First Predator Using Fuzzy Impulsive Control

A Mathematical Study for the Stability of Two Predator and One Prey with Infection in First Predator Using Fuzzy Impulsive Control
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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.

Author Details

Khushbu Singh

Kolla Kaladhar

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    https://doi.org/10.1140/epjp/s13360-023-04476-2 [Citations: 2]

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    Singh, Khushbu | Kolla, Kaladhar

    Epidemiologic Methods, Vol. 13 (2024), Iss. 1

    https://doi.org/10.1515/em-2023-0037 [Citations: 0]

  3. Population dynamic study of interaction between two predators and one prey

    Singh, Khushbu | Kaladhar, K

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    https://doi.org/10.1088/1402-4896/ad1dd2 [Citations: 0]