| 毒素对阶段结构的单种群持续生存的影响 |
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| 引用本文： | 陈显,王稳地,陈晓平. 毒素对阶段结构的单种群持续生存的影响[J]. 西南师范大学学报(自然科学版), 2011, 36(3) |
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| 作者姓名： | 陈显 王稳地 陈晓平 |
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| 作者单位： | 西南大学数学与统计学院,重庆,400715 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 基于传统的毒素模型和阶段结构种群模型提出了一个新的数学模型来描述污染环境中结构单种群的动力学.从毒素和种群密度依赖法则来考虑未成熟个体和成熟个体的死亡率,得到了结构种群持久存在和灭绝的阈值条件.
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| 关 键 词： | 阶段结构 全局稳定性 李雅普诺夫函数 持久 毒素 |
Effects on Survival of Stage-Structured Single Population with Toxicant |
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| CHEN Xian,WANG Wen-di,CHEN Xiao-ping. Effects on Survival of Stage-Structured Single Population with Toxicant[J]. Journal of southwest china normal university(natural science edition), 2011, 36(3) |
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| Authors: | CHEN Xian WANG Wen-di CHEN Xiao-ping |
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| Affiliation: | CHEN Xian,WANG Wen-di,CHEN Xiao-ping School of Mathematics and Statistics,Southwest University,Chongqing,400715,China |
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| Abstract: | Based on the traditional toxicant model and the structured population model,the authors propose a new mathematical model to describe the dynamics of a single population in the polluted environment.Considering the mortalities of immature and mature individuals from toxicant and the density-dependent regulations,the authors obtain the threshold conditions for the persistence and extinction of the structured population. |
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| Keywords: | stage-structure global stability Liapunov function persistence toxicant |
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