Abstract
A Leslie-Gower-Holling type II model is modified to introduce a contagious disease in the predator population, assuming that disease cannot propagate to the prey. All the system's equilibria are determined and the behaviour of the system near them is investigated. The main mathematical issues are global stability and bifurcations for some of the equilibria, together with sufficient conditions for persistence of the ecosystem. Counterintuitive results on the role played by intraspecific competition are highlighted.
| Original language | English |
|---|---|
| Pages (from-to) | 91-106 |
| Number of pages | 16 |
| Journal | Journal of Biological Physics |
| Volume | 37 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2011 |
| Externally published | Yes |
Keywords
- Boundedness
- Ecoepidemiology
- Epidemic models
- Global stability
- Hopf bifurcation
- Local stability
- Lyapunov function
- Persistence
- Population models
ASJC Scopus subject areas
- Biophysics
- Atomic and Molecular Physics, and Optics
- Molecular Biology
- Cell Biology
