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Dynamical Study of an Epidemiological Model with Harvesting and Infection in Prey Population

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Frontiers in Industrial and Applied Mathematics (FIAM 2021)

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Abstract

The analysis of prey–predator in an eco-epidemiological system has become the major concern of scientific research in the field of mathematics and disease dynamical studies. Our studies concern with three-tier species model system when infection is spreading among the prey populations. The impact of infection affecting population dynamics is more complicated studies in natural dynamics. Therefore, we investigate an eco-epidemiological model system’s local and global stability around the biologically feasible equilibrium point. In order to analyze the local and global stability of the model system, we perform a detailed numerical experiments. We analyze the resulting model through various mathematical characteristics like boundedness, global stability, local stability, and bifurcation. We further investigate time evaluation, phase portraits, and bifurcation diagrams and results show the complexity of the eco-epidemiological system. The analytical results are verified through simulations.

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Authors and Affiliations

  1. National Institute of Technology Raipur, Chhatisgarh, 492010, India

    Smriti Chandra Srivastava & Nilesh Kumar Thakur

Authors
  1. Smriti Chandra Srivastava
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  2. Nilesh Kumar Thakur
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Corresponding author

Correspondence to Smriti Chandra Srivastava .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Institute of Technology, Nirma University, Ahmedabad, India

    Rajesh Kumar Sharma

  2. Dipartimento Di Matematica, University of Ferrara, Ferrara, Italy

    Lorenzo Pareschi

  3. Institute for Groundwater Studies, University of the Free State, Bloemfontein, South Africa

    Abdon Atangana

  4. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India

    Bikash Sahoo

  5. Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, India

    Vijay Kumar Kukreja

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Srivastava, S.C., Thakur, N.K. (2023). Dynamical Study of an Epidemiological Model with Harvesting and Infection in Prey Population. In: Sharma, R.K., Pareschi, L., Atangana, A., Sahoo, B., Kukreja, V.K. (eds) Frontiers in Industrial and Applied Mathematics. FIAM 2021. Springer Proceedings in Mathematics & Statistics, vol 410. Springer, Singapore. https://doi.org/10.1007/978-981-19-7272-0_28

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