Publication details
PREDATOR-PREY MODEL WITH PREDATOR INTERFERENCE
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Proceedings |
| Conference | Mathematical Models and Financial Mathematics Book of short papers |
| MU Faculty or unit | |
| Citation | |
| Keywords | population stability; functional response; predator-prey model; hysteresis; Hopf bifurcation |
| Description | Rosenzweig-MacArthur-like predator-prey model with predator interference is studied. Predator interference as a decline in the per predator consumption rate as predator density increases is generally thought to promote predator-prey stability. Indeed, this has been demonstrated in many theoretical studies on predator-prey dynamics. In virtually all of these studies, the stabilization role is demonstrated as a weakening of the paradox of enrichment. With predator interference, stable limit cycles that appear as a result of environmental enrichment occur for higher values of the environmental carrying capacity of prey, and even a complete absence of the limit cycles can happen. By means of a bifurcation analysis it can be shown that sufficiently strong redator interference may bring about another stabilizing mechanism. In particular, hysteresis combined with (dis)appearance of stable limit cycles imply the presence of abrupt increases in both prey and predator densities and enhanced persistence and resilience of the predator-prey system. |