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Stability analysis of prey–predator model with two prey and one predator using fuzzy impulsive control

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Abstract

The study of populations that interact and influence one another’s growth rates is a key component of ecological mathematics. This paper examines a special case of such interaction. It specifically investigates the predator–prey model with two prey and one predator. The three-dimensional Lotka–Volterra predator–prey system’s model stability has been examined using the Takagi–Sugeno (T–S) impulsive control model and the fuzzy impulsive control models. Following the formulation of the model, the global stabilities and the fuzzy solution are provided through numerical simulations and graphical representations with appropriate discussion to validate the applicability of the system under consideration.

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  1. Khushbu Singh and Kaladhar K have contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Warangal, 506004, India

    Khushbu Singh & Kaladhar Kolla

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  1. Khushbu Singh
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  2. Kaladhar Kolla
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Both authors have contributed equally to the work.

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Correspondence to Kaladhar Kolla.

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Singh, K., Kolla, K. Stability analysis of prey–predator model with two prey and one predator using fuzzy impulsive control. Int. J. Dynam. Control 12, 1116–1129 (2024). https://doi.org/10.1007/s40435-023-01189-3

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  • DOI: https://doi.org/10.1007/s40435-023-01189-3

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