Abstract
The modified Leslie-Gower and Holling-type II predator-prey model is generalized in the context of ecoepidemiology, with disease spreading only among the prey species. A new feature is introduced, the intraspecific competition of infected prey. All the equilibria are characterized and the existence of a Hopf bifurcation at the coexistence equilibrium is shown.
Original language | English |
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Pages (from-to) | 263-280 |
Number of pages | 18 |
Journal | Journal of Applied Mathematics and Computing |
Volume | 35 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - Jan 2011 |
Externally published | Yes |
Keywords
- Eco-epidemiology
- Global stability
- Holling type-II
- Hopf-bifurcation
- Leslie-Gower
- Local stability
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics