Stability Analysis of Imprecise Prey-Predator Model - Intelligence Science III Access content directly
Conference Papers Year : 2021

Stability Analysis of Imprecise Prey-Predator Model

Anupam De
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  • PersonId : 1153182
Kalipada Maity
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  • PersonId : 1153183
Goutam Panigrahi
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  • PersonId : 1153184
Manoranjan Maiti
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  • PersonId : 1153185

Abstract

Since the last few decades, the prey-predator system delivers attractive mathematical models to analyse the dynamics of prey-predator interaction. Due to the lack of precise information about the natural parameters, a significant number of research works have been carried out to take care of the impreciseness of the natural parameters in the prey-predator models. Due to direct impact of the imprecise parameters on the variables, the variables also become imprecise. In this paper, we developed an imprecise prey-predator model considering both prey and predator population as imprecise variables. Also, we have assumed the parameters of the prey-predator system as imprecise. The imprecise prey-predator model is converted to an equivalent crisp model using “e” and “g” operator method. The condition for local stability for the deterministic system is obtained mathematically by analysing the eigenvalues of the characteristic equation. Furthermore, numerical simulations are presented in tabular and graphical form to validate the theoretical results.
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hal-03741730 , version 1 (01-08-2022)

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Anupam De, Debnarayan Khatua, Kalipada Maity, Goutam Panigrahi, Manoranjan Maiti. Stability Analysis of Imprecise Prey-Predator Model. 4th International Conference on Intelligence Science (ICIS), Feb 2021, Durgapur, India. pp.229-240, ⟨10.1007/978-3-030-74826-5_20⟩. ⟨hal-03741730⟩
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