Convergence of a structured metapopulation model to Levins?s model
نویسندگان
چکیده
منابع مشابه
Convergence of a structured metapopulation model to Levins's model.
We consider a structured metapopulation model describing the dynamics of a single species, whose members are located in separate patches that are linked through migration according to a mean field rule. Our main aim is to find conditions under which its equilibrium distribution is reasonably approximated by that of the unstructured model of Levins (1969). We do this by showing that the (positiv...
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A spatially structured metapopulation model with patch dynamics.
Metapopulation models that incorporate both spatial and temporal structure are studied in this paper. The existence and stability of equilibria are provided, and an extinction threshold condition is derived which depends on patch dynamics (patch destruction and creation) and metapopulation dynamics (patch colonization and extinction). These results refine threshold conditions given by previous ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 2004
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s00285-004-0272-8