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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2020

13.10.2019 | Original Research

Dynamics of an eco-epidemiological system with disease in competitive prey species

verfasst von: Absos Ali Shaikh, Harekrishna Das, Sahabuddin Sarwardi

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2020

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Abstract

The objective of the present paper is to investigate the dynamics of an eco-epidemiological system with predator’s hyperbolic mortality and Holling type II functional response. The local stability, global stability of the ecosystem near biologically feasible equilibria have been thoroughly investigated. The boundedness and positivity of solutions for the model are also derived. Threshold values for a few parameters, which determine the feasibility and stability of some equilibria are calculated and a threshold is identified for the disease to die out. The existence of Hopf bifurcation around the coexistence equilibrium is shown. Finally, numerical illustrations are performed in order to validate some of the important analytical findings.
Vorheriger Artikel Determining radially symmetric potential from near-field scattering data
Nächster Artikel Nonhomogeneous backward heat conduction problem: Compact filter regularization and error estimates

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Metadaten
Titel
Dynamics of an eco-epidemiological system with disease in competitive prey species
verfasst von
Absos Ali Shaikh
Harekrishna Das
Sahabuddin Sarwardi
Publikationsdatum
13.10.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2020
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-019-01295-6

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