Volume 39, Issue 1
A Mathematical Study for the Stability of Two Predator and One Prey with Infection in First Predator Using Fuzzy Impulsive Control

Khushbu Singh & Kolla Kaladhar

Ann. Appl. Math., 39 (2023), pp. 29-48.

Published online: 2023-04

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  • 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.

  • AMS Subject Headings

92D25, 92D30, 92D40, 49N25

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COPYRIGHT: © Global Science Press

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@Article{AAM-39-29, author = {Singh , Khushbu and Kaladhar , Kolla}, title = {A Mathematical Study for the Stability of Two Predator and One Prey with Infection in First Predator Using Fuzzy Impulsive Control}, journal = {Annals of Applied Mathematics}, year = {2023}, volume = {39}, number = {1}, pages = {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.

}, issn = {}, doi = {https://doi.org/10.4208/aam.OA-2023-0003}, url = {http://global-sci.org/intro/article_detail/aam/21632.html} }
TY - JOUR T1 - A Mathematical Study for the Stability of Two Predator and One Prey with Infection in First Predator Using Fuzzy Impulsive Control AU - Singh , Khushbu AU - Kaladhar , Kolla JO - Annals of Applied Mathematics VL - 1 SP - 29 EP - 48 PY - 2023 DA - 2023/04 SN - 39 DO - http://doi.org/10.4208/aam.OA-2023-0003 UR - https://global-sci.org/intro/article_detail/aam/21632.html KW - Prey-predator system, T-S model, stability, eco-epidemiology. AB -

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.

Singh , Khushbu and Kaladhar , Kolla. (2023). A Mathematical Study for the Stability of Two Predator and One Prey with Infection in First Predator Using Fuzzy Impulsive Control. Annals of Applied Mathematics. 39 (1). 29-48. doi:10.4208/aam.OA-2023-0003
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