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2023 | OriginalPaper | Chapter

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

Authors : Smriti Chandra Srivastava, Nilesh Kumar Thakur

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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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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previous chapter On the Stability of a Heated Inclined Fluid Layer with Gravity Modulation

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Title: Dynamical Study of an Epidemiological Model with Harvesting and Infection in Prey Population
Authors: Smriti Chandra Srivastava
Nilesh Kumar Thakur
Publisher: Springer Nature Singapore
Book: Frontiers in Industrial and Applied Mathematics
Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023
DOI: https://doi.org/10.1007/978-981-19-7272-0_28

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