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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Stability Analysis of a T-S based Intra-Specific Predator-Prey Competition Model with Fuzzy Impulsive Control

Journal of Applied Nonlinear Dynamics 13(2) (2024) 269--277 | DOI:10.5890/JAND.2024.06.007

K. Kaladhar, Khushbu Singh

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

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Abstract

Predator-prey system, which has been widely employed in recent years, offers a suitable mathematical model for presenting the relationship among prey and predators. We will look at a non-linear differential system in this paper. We created two intra-species predator-prey model, one for prey and another for predator, based on the Lotka-Volterra predator-prey model. The Takagi-Sugeno (T-S) impulsive control model and the fuzzy impulsive control model were 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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