| Abstrakt: |
We study the Schoener-Polis-Holt model of intraguild predation extended to account for diffusive motion of both predator and prey as well as evasive prey defence strategies; direct predator taxis (Model A) or indirect predator taxis (Model B). The term 'intraguild predation' refers to the situations where predator and prey compete for shared resources. The direct predator taxis is a directional movement of prey in the direction opposite to the gradient of predator density, whereas in indirect predator taxis the gradient of predator density is replaced by the gradient of a diffusive chemical released by the predator. Besides the global-in-time existence of solutions, proved for space dimension $ n = 1 $ and in the case of $ n\leq3 $ for parabolic-elliptic version of Model B, the destabilization of constant co-existence steady state caused by taxis is studied for both models revealing significant differences in mechanism of pattern formation between them illustrated by numerical solutions. They lead to surprisingly complex stationary or spatio-temporal patterns, some of which can be understood by means of bifurcation theory. In particular, we indicate solutions which describe spontaneous, i.e independent of the resources distribution, occurrence of prey and predator aggregations, effect known in ecology as a patchy distribution of population. [ABSTRACT FROM AUTHOR] |
