A minimal model of pattern formation in a prey-predator system

SV Petrovskii, H Malchow - Mathematical and Computer Modelling, 1999 - Elsevier
Mathematical and Computer Modelling, 1999Elsevier
The spatio-temporal dynamics of a prey-predator community is described by two reaction-
diffusion equations. It is shown that for a class of initial conditions the spatio-temporal system
dynamics resembles a “phase transition” between a regular and an irregular phase,
separated by a moving boundary. A simple approach to specify spatio-temporal chaos is
proposed.
The spatio-temporal dynamics of a prey-predator community is described by two reaction-diffusion equations. It is shown that for a class of initial conditions the spatio-temporal system dynamics resembles a “phase transition” between a regular and an irregular phase, separated by a moving boundary. A simple approach to specify spatio-temporal chaos is proposed.
Elsevier
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