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The Dynamics of Random Mating Two-Sex Population

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Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
4
DOI:
10.3969/j.issn.1001-9626.2008.04.001
Key Word:
两性;密度依赖效果;全局渐近稳定;性比;Two-sex;D.ensity-dependent effects;Global stability;Sex ratio

Abstract: Based on the Kendall-Goodman model we propose a two-sex model with birth and death rates for male and female sub-populations different. If there is no density-dependent effects a positive exponential solution is deduced and the conditions for its global stability is obtained; with density-dependent effects considered, conditions for the global stability of the positive equilibrium is concluded for a fixed birth function. Consequently, we show, whether considering density-dependent effects or not, the sex ratio is stable.

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