Abstract
A periodic ratio-dependent predator–prey model with time delays and stage structure for both prey and predator is investigated. It is assumed that immature individuals and mature individuals of each species are divided by a fixed age, and that immature predators do not have the ability to attack prey. Sufficient conditions are derived for the permanence and existence of positive periodic solutions of the model. Numerical simulations are presented to illustrate the feasibility of our main results
| Original language | English |
|---|---|
| Pages (from-to) | 602-621 |
| Number of pages | 20 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 303 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2005 |
Keywords
- Stage structure
- Ratio-dependence
- Permanence
- Periodic solution
- Time delay