Switching of predation on prey species in the presence of predator interference. II. (English) Zbl 1220.92051
[For part I of this paper see ibid. 45, No. 4, 587–598 (2008; Zbl 1144.92040).]
The effect of predator interference on a predator-prey system where the predator can switch to the most abundant prey species which lives in two different habitats is considered. This work extends previous work by the authors, by using more general predatory interacting functions which are modified Hassel-Varley type functions. Applying the theory to three hypothetical systems, we find Hopf bifurcation points as well as regions of stability and instability.
The effect of predator interference on a predator-prey system where the predator can switch to the most abundant prey species which lives in two different habitats is considered. This work extends previous work by the authors, by using more general predatory interacting functions which are modified Hassel-Varley type functions. Applying the theory to three hypothetical systems, we find Hopf bifurcation points as well as regions of stability and instability.
MSC:
| 92D40 | Ecology |
| 34D20 | Stability of solutions to ordinary differential equations |
| 65C20 | Probabilistic models, generic numerical methods in probability and statistics |
