Abstract
A ratio-dependent predator-prey model with stage structure for the prey is proposed and analyzed, which improves the assumption that each individual prey has the same ability to be captured by predator. In this paper, mathematical analysis of the model equations with regard to boundedness of solutions, nature of equilibria, permanence are analyzed. We obtain conditions that determine the permanence of the populations. Furthermore, we establish necessary and sufficient conditions for the local stability of the positive equilibrium of the model. By the application of comparing argument and exploiting the monotonicity of one equation of the model, we obtain sufficient conditions for the global attractivity of positive equilibrium.
| Original language | English |
|---|---|
| Pages (from-to) | 747-758 |
| Number of pages | 12 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 4 |
| Issue number | 3 |
| DOIs | |
| State | Published - Aug 2004 |
Keywords
- Permanence
- Ratio-dependent
- Stability
- Stage structure