TITLE:
Analysis of a Nonautonomous Eco-Epidemiological Model with Saturated Predation Rate
AUTHORS:
Youquan Luo, Shujing Gao, Yujiang Liu
KEYWORDS:
Nonautonomous, Eco-Epidemiological Model, Permanence, Extinction, Global Attractivity
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.2,
February
28,
2017
ABSTRACT: In this paper, a nonautonomous eco-epidemiological model with disease in the predator is formulated and analyzed, in which saturated predation rate is taken into consideration. Under quite weak assumptions, sufficient conditions for the permanence and extinction of the disease are obtained. Moreover, by constructing a Liapunov function, the global attractivity of the model is discussed. Finally, numerical simulations verified these results.