Mathematical modelling for intra-specific brood-parasitism: coexistence between parasite and non-parasite

Citation
J. Maruyama et H. Seno, Mathematical modelling for intra-specific brood-parasitism: coexistence between parasite and non-parasite, MATH BIOSCI, 156(1-2), 1999, pp. 315-338
Citations number
9
Categorie Soggetti
Multidisciplinary
Journal title
MATHEMATICAL BIOSCIENCES
ISSN journal
00255564 → ACNP
Volume
156
Issue
1-2
Year of publication
1999
Pages
315 - 338
Database
ISI
SICI code
0025-5564(19990301)156:1-2<315:MMFIBC>2.0.ZU;2-P
Abstract
In this paper, we consider an aspect of the intra-specific brood-parasitism with a mathematical modelling. As in case of moorhen Gallinula chloropus, the case dealt with in this paper in such that just a part of:the whole pop ulation has the parasitising behaviour against the individuals belonging to another part of non-parasite subpopulation that does not have such behavio ur. Analysing the expected fitness gain from the brood-parasitism, we consi der the condition in order that parasite individuals coexist with nonparasi te ones within a population. From the mathematical modelling analysis, it i s shown that the stable equilibrium frequency of parasite individuals withi n a population, if exists, depends on the difference among individuals in t erms of the individual quality reflected to the survival probability of bre d offsprings. (C) 1999 Elsevier Science Inc. All rights reserved.