Title of article :
Relating coupled map lattices to integro-difference equations: dispersal-driven instabilities in coupled map lattices
Author/Authors :
White، نويسنده , , Steven M. and White، نويسنده , , K.A. Jane، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Pages :
13
From page :
463
To page :
475
Abstract :
Recently there has been a great deal of interest within the ecological community about the interactions of local populations that are coupled only by dispersal. Models have been developed to consider such scenarios but the theory needed to validate model outcomes has been somewhat lacking. In this paper, we present theory which can be used to understand these types of interaction when population exhibit discrete time dynamics. In particular, we consider a spatial extension to discrete-time models, known as coupled map lattices (CMLs) which are discrete in space. We introduce a general form of the CML and link this to integro-difference equations via a special redistribution kernel. General conditions are then derived for dispersal-driven instabilities. We then apply this theory to two discrete-time models; a predator–prey model and a host–pathogen model.
Keywords :
Predator–prey , Dispersal-driven instability , Host–pathogen , Coupled map lattice , Integro-difference equations
Journal title :
Journal of Theoretical Biology
Serial Year :
2005
Journal title :
Journal of Theoretical Biology
Record number :
1537135
Link To Document :
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