Abstract
A Mathematical model with one prey species living in two different habitats and a predator where the predatory rate diminishes at low population density of prey is investigated. Two habitats are separated by a barrier and prey species is able to disperse among two different habitats at some cost of the population. The stability analysis is carried out for non-zero equilibrium values. Using rate of conversion of the prey to predator as bifurcation parameter, the necessary and sufficient condition for a Hopf bifurcation to occur are derived. It is shown numerically that predation rate does not always have stabilizing effect for the prey-predator system.
| Original language | English |
|---|---|
| Pages (from-to) | 3133-3137 |
| Number of pages | 5 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 69 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - Sept 2000 |
Keywords
- Differential equations
- Hopf bifurcation
- Predator
- Prey
- Stability
- Switching
ASJC Scopus subject areas
- General Physics and Astronomy