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Journal of Applied Mathematics and Computing

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13.10.2020 | Original Research

Dynamical response of an eco-epidemiological system with harvesting

verfasst von: Harekrishna Das, Absos Ali Shaikh

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2021

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Abstract

This article presents a study of Leslie–Gower predator–prey system to investigate the dynamics of disease transmission among predator species. The system includes the harvesting of infected predator. The positivity, boundedness of the solutions and permanence of the system are taken into consideration. The stability and Hopf bifurcation analyses around biologically feasible equilibria are scrutinized. The harvesting of infected predator plays a crucial role for the occurrence of limit cycle oscillations and stability around the interior equilibrium point. Our results disclose that infected predator harvesting has a considerable consequence on the eco-epidemiological system. The optimal control theory has been applied to investigate optimal strategies for controlling the infection. Analytical findings are confirmed through numerical simulations.

Vorheriger Artikel Applications of metaplectic cohomology and global-local contact holonomy

Nächster Artikel Lucas graphs

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Titel: Dynamical response of an eco-epidemiological system with harvesting
verfasst von: Harekrishna Das
Absos Ali Shaikh
Publikationsdatum: 13.10.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2021
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01379-8

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