Abstract
We propose a ratio-dependent demographic predator-prey model in which also a disease spreads among predators via homogeneous mixing. Equilibria of the system are analysed, numerical evidence shows limit cycles to arise. The disease effects on the model are discussed. Comparisons of these findings with results of some related investigations allow the general conclusion that an infection in either species, prey or predator, may act as a biological control.
| Original language | English |
|---|---|
| Pages (from-to) | 1791-1809 |
| Number of pages | 19 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 30 |
| Issue number | 14 |
| DOIs | |
| Publication status | Published - 25 Sept 2007 |
| Externally published | Yes |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 2 Zero Hunger -
SDG 3 Good Health and Well-being -
SDG 15 Life on Land
Free Keywords
- Ecoepidemiology
- Epidemic models
- Global stability
- Local stability
- Persistence
- Population models
ASJC Scopus subject areas
- General Mathematics
- General Engineering
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