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Stability Analysis of Imprecise Prey-Predator Model

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Intelligence Science III (ICIS 2021)

Part of the book series: IFIP Advances in Information and Communication Technology ((IFIPAICT,volume 623))

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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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Author information

Authors and Affiliations

  1. Department of Applied Sciences, Haldia Institute of Technology, Haldia, West Bengal, India

    Anupam De

  2. Department of Basic Science and Humanities, Global Institute of Science and Technology, Haldia, West Bengal, India

    Debnarayan Khatua

  3. Department of Mathematics, Mugberia Gangadhar Mahavidyalaya, Contai, West Bengal, India

    Kalipada Maity

  4. Department of Mathematics, National Institute of Technology Durgapur, Durgapur, West Bengal, India

    Goutam Panigrahi

  5. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, West Bengal, India

    Manoranjan Maiti

Authors
  1. Anupam De
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  2. Debnarayan Khatua
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  3. Kalipada Maity
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  4. Goutam Panigrahi
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  5. Manoranjan Maiti
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Editor information

Editors and Affiliations

  1. Institute of Computing Technology, Chinese Academy of Sciences, Beijing, China

    Zhongzhi Shi

  2. Jadavpur University, Kolkata, India

    Mihir Chakraborty

  3. Department of Mathematics, National Institute of Technology Durgapur, Durgapur, India

    Samarjit Kar

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De, A., Khatua, D., Maity, K., Panigrahi, G., Maiti, M. (2021). Stability Analysis of Imprecise Prey-Predator Model. In: Shi, Z., Chakraborty, M., Kar, S. (eds) Intelligence Science III. ICIS 2021. IFIP Advances in Information and Communication Technology, vol 623. Springer, Cham. https://doi.org/10.1007/978-3-030-74826-5_20

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  • DOI: https://doi.org/10.1007/978-3-030-74826-5_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-74825-8

  • Online ISBN: 978-3-030-74826-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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