منابع مشابه
Modeling tick-borne disease: a metapopulation model.
Recent increases in reported outbreaks of tick-borne diseases have led to increased interest in understanding and controlling epidemics involving these transmission vectors. Mathematical disease models typically assume constant population size and spatial homogeneity. For tick-borne diseases, these assumptions are not always valid. The disease model presented here incorporates non-constant popu...
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A metapopulation model is presented for species which can reach high population densities per patch, and for which migration is such a frequent event that it influences local patch dynamics. Depending on the local dynamics chosen and the way patch extinction is modelled, there can exist stable and bi-stable situations. The model is compared to winking-patch models, and single population models....
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We study a variant of Hanski's incidence function model that allows habitat patch characteristics to vary over time following a Markov process. The widely studied case where patches are classified as either suitable or unsuitable is included as a special case. For large metapopulations, we determine a recursion for the probability that a given habitat patch is occupied. This recursion enables u...
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1. This paper describes a novel approach to modelling of metapopulation dynamics. The model is constructed as a generalized incidence function, which describes how the fraction of occupied habitat patches depends on patch areas and isolations. 2. The model may be fitted to presence/absence data from a metapopulation at a dynamic equilibrium between extinctions and colonizations. 3. Using the es...
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The Levins metapopulation model describes the dynamics of several populations in patches of suitable habitat. These populations may go extinct, leaving empty patches of suitable habitat, but these empty patches may be recolonized by other populations via dispersal. The metapopulation can therefore persist if recolonizations balance local extinctions. This simple model has been criticized for it...
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ژورنال
عنوان ژورنال: Bulletin of Mathematical Biology
سال: 2000
ISSN: 0092-8240
DOI: 10.1006/bulm.1999.0157