The Leslie-Gower predator-prey model with logistic growth in prey is here modified to include an SI parasitic infection affecting the prey population only. Thresholds are identified for the predator population to survive, and the conditions for the disease to die out naturally are given. The behavior of the system around each equilibrium is investigated, showing that the disease incidence may have a relevant influence on the dynamics of complex ecosytems, assuming at times the role of a biological control parameter.
- Global stability
- Local stability
ASJC Scopus subject areas
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics