ISSN:
1432-1416
Keywords:
Predation-mediated coexistence
;
Reaction-diffusion system
;
Spatial segregation
;
Internal layer
;
Interface equation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Abstract We consider the problem of coexistence of two competing species mediated by the presence of a predator. We employ a reaction-diffusion model equation with Lotka-Volterra interaction, and speculate that the possibility of coexistence is,enhanced by differences in the diffusion rates of the prey and their predator. In the limit where the diffusion rate of the prey tends to zero, a new equation is derived and the dynamics of spatial segregation is discussed by means of the interfacial dynamics approach. Also, we show that spatial segregation permits periodic and chaotic dynamics for certain parameter ranges.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00166143
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