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Interspecific competition models derived from competition among individuals.

Authors :
Anazawa M
Source :
Bulletin of mathematical biology [Bull Math Biol] 2012 Jul; Vol. 74 (7), pp. 1580-605. Date of Electronic Publication: 2012 Apr 27.
Publication Year :
2012

Abstract

This paper demonstrates how discrete-time models describing population dynamics of two competing species can be derived in a bottom-up manner by considering competition for resources among individuals and the spatial distribution of individuals. The competition type of each species is assumed to be either scramble, contest, or an intermediate between them. Individuals of two species are distributed over resource sites or patches following one of three distribution functions. According to the combination of competition types of the two species and the distribution of individuals, various interspecific competition models are derived. Furthermore, a general interspecific competition model that includes various competition models as special cases is derived for each distribution of individuals. Finally, this paper examines dynamics of some of the derived competition models and shows that the likelihood of coexistence of the two species varies greatly, depending on the type of spatial distribution of individuals.

Details

Language :
English
ISSN :
1522-9602
Volume :
74
Issue :
7
Database :
MEDLINE
Journal :
Bulletin of mathematical biology
Publication Type :
Academic Journal
Accession number :
22538977
Full Text :
https://doi.org/10.1007/s11538-012-9726-0