Seminar “The role of indirect prey‐taxis and interference among predators in pattern formation (in English)”
11 February at 16:30 MSK
Topic: The role of indirect prey‐taxis and interference among predators in pattern formation (in English)
We discuss a simple model describing a consumer/predator which, besides random dispersion, searches for food by moving toward the gradient of some chemical released by prey. The predator's rate of consumption is assumed to drop due to interference among predators when too many of them encounter on some aggregate of prey. The latter is assumed to have negligible motility with its density governed by an ODE. The interference among consumers is modeled by a modification of the Beddington's de Angelis functional response. Detailed numerical simulations of an auxiliary system indicate that nonconstant steady states imitating patches of species occur in the model provided taxis strength is big enough.
Dr. Purnedu Mishra, Institute of Applied Mathematics and Mechanics, University of Warsaw Poland