Persistence and global stability of a ratio-dependent predator-prey model with stage structure
نویسندگان
چکیده
A ratio-dependent predator–prey model with stage structure for prey is investigated. First, sufficient conditions are derived for the uniform persistence and impermanence of the model. Next, by constructing appropriate Lyapunov functions, a set of easily verifiable sufficient conditions are obtained for the global asymptotic stability of nonnegative equilibria of the model. Numerical simulations are presented to illustrate the validity of our main results. ! 2003 Elsevier Inc. All rights reserved.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 158 شماره
صفحات -
تاریخ انتشار 2004