Motional instabilities in prey-predator systems.
Differential fluxes can destabilize the locally stable stationary density distributions in interaction systems with diffusion, advection, and/or locomotion of chemical or biological species. By this method they can cause the formation of stationary or travelling spatial structures. Different scenarios of this general mechanism of spatio-temporal pattern formation in reaction-diffusion-advection systems will be demonstrated, using a simple two-species predator-prey system as an example model.
Malchow
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Department of Mathematics and Computer Science, Institute of Environmental Systems Research, Osnabr]uck, 49069, Germany. malchow@uos.de
D000818:Animals; D008954:Models, Biological; D017711:Nonlinear Dynamics; D010933:Plankton; D011157:Population Dynamics