期刊
THEORETICAL POPULATION BIOLOGY
卷 59, 期 2, 页码 157-174出版社
ACADEMIC PRESS INC
DOI: 10.1006/tpbi.2000.1509
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The dynamics of a simple prey-predator system is described by a system of two reaction-diffusion equations with biologically reasonable non-linearities (logistic growth of the prey, Holling type II functional response of the predator). We show that, when the local kinetics of the system is oscillatory, for a wide class of initial conditions the evolution of the system leads to the formation of a non-stationary irregular pattern corresponding to spatio-temporal chaos. The chaotic pattern first appears inside a sub-domain of the system, This sub-domain then steadily grows with time and, finally, the chaotic pattern invades the whole space, displacing the regular pattern, (C) 2001 Academic Press.
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