Stability Analysis of an Eco-Epidemiological Model with Time Delay and Holling Type-III Functional Response
Year: 2022
Author: Lingshu Wang, Mei Zhang, Xu Chen, Guang Yang
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 514–528
Abstract
In this paper, an eco-epidemiological model with diseases in the predator and Holling type-III functional response is analyzed. A time delay due to the gestation of the predator is considered in this model. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria and the existence of Hopf bifurcations at the disease-free equilibrium and the endemic-coexistence equilibrium are established respectively. By using Lyapunov functionals and LaSalle’s invariance principle, sufficient conditions are obtained for the global stability of the predator-extinction equilibrium, the disease-free equilibrium and the endemic-coexistence equilibrium respectively. Finally, numerical simulations are performed to illustrate the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.514
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 514–528
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Eco-epidemiological model Time delay Holling type-III functional response Stability Hopf bifurcation.