| 随机配对种群的两性模型的动力学性态 |
| |
| 引用本文： | 张天然. 随机配对种群的两性模型的动力学性态[J]. 生物数学学报, 2008, 23(4): 577-586 |
| |
| 作者姓名： | 张天然 |
| |
| 作者单位： | 西南大学数学与统计学院,重庆,400715 |
| |
| 基金项目： | 西南师范大学青年基金,国家自然科学基金 |
| |
| 摘 要： | 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．
|
| 关 键 词： | 两性 密度依赖效果 全局渐近稳定 性比 |
The Dynamics of Random Mating Two-Sex Population |
| |
| ZHANG Tian-ran. The Dynamics of Random Mating Two-Sex Population[J]. Journal of Biomathematics, 2008, 23(4): 577-586 |
| |
| Authors: | ZHANG Tian-ran |
| |
| Affiliation: | ZHANG Tian-ran (School of Mathematics and Statistics, Southwest University, Chongqing 400715 China) |
| |
| 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. |
| |
| Keywords: | Two-sex Density-dependent effects Global stability Sex ratio |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
