随机配对种群的两性模型的动力学性态(英文)

The Dynamics of Random Mating Two-Sex Population

基于Kendall-Goodman模型,提出了一个两性具有不同生理性态的随机配对的两性模型.如果不考虑密度制约因素,那么模型存在一个全局渐近稳定的指数解;如果考虑密度制约因素,对于给定的一个出生函数,得到了唯一正平衡态存在及全局稳定的充要条件.结论表明,无论是否考虑密度制约因素,种群的性比总是稳定的.

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.