Abstract
A theoretical eco-epidemiological model of a prey–predator interaction system with disease in prey species is studied. Predator consumes both susceptible and infected prey population, but predator also feeds preferentially on many numerous species, which are over represented in the predator's diet. Equilibrium points of the system are determined, and the dynamic behaviour of the system is investigated around equilibrium points. Death rate of predator species is considered as a bifurcation parameter to examine the occurrence of Hopf bifurcation in the neighbourhood of the coexisting equilibria. Numerical simulations are carried out to support the analytical results.
| Original language | English |
|---|---|
| Pages (from-to) | 2647-2658 |
| Number of pages | 12 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 39 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - Jul 1 2016 |
Keywords
- bifurcation
- optimal harvesting
- predator
- prey
- stability
ASJC Scopus subject areas
- General Mathematics
- General Engineering