TY - JOUR
T1 - Stability Analysis of an Eco-Epidemiological Model with Time Delay and Holling Type-III Functional Response
AU - Wang , Lingshu
AU - Zhang , Mei
AU - Chen , Xu
AU - Yang , Guang
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 514
EP - 528
PY - 2022
DA - 2022/06
SN - 4
DO - http://doi.org/10.12150/jnma.2022.514
UR - https://global-sci.org/intro/article_detail/jnma/20722.html
KW - Eco-epidemiological model, Time delay, Holling type-III functional response, Stability, Hopf bifurcation.
AB - <p style="text-align: justify;">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.</p>