Abstract
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.
Original language | English |
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Pages (from-to) | 729-744 |
Number of pages | 16 |
Journal | Applied Mathematics and Computation |
Volume | 158 |
Issue number | 3 |
DOIs | |
Publication status | Published - Nov 2004 |
Keywords
- Ratio-dependence
- Predator-prey model
- Stage structure
- Uniform persistence
- Global stability