Author(s)

Youquan Luo, Shujing Gao, Yujiang Liu

Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China.

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.

Nonautonomous, Eco-Epidemiological Model, Permanence, Extinction, Global Attractivity

Luo, Y. , Gao, S. and Liu, Y. (2017) Analysis of a Nonautonomous Eco-Epidemiological Model with Saturated Predation Rate. Applied Mathematics, 8, 252-273. doi: 10.4236/am.2017.82021.