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毒素对阶段结构的单种群持续生存的影响 被引量：4

Effects on Survival of Stage-Structured Single Population with Toxicant
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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. 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.
作者 陈显 王稳地 陈晓平
机构地区 西南大学数学与统计学院
出处 《西南师范大学学报（自然科学版）》 CAS CSCD 北大核心 2011年第3期54-59,共6页 Journal of Southwest China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10871162)
关键词 阶段结构 全局稳定性 李雅普诺夫函数 持久 毒素 stage-structure global stability Liapunov function persistence toxicant
分类号 O175.1 [理学—基础数学]
  • 相关文献

参考文献10

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二级参考文献17

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共引文献11

同被引文献27

  • 1Yong-guang Yu,Suo-chun Zhang,Da-li Yang.The Analysis of Model on Population Growth with Stage-structure in the Polluted Environment[J].Acta Mathematicae Applicatae Sinica,2006,22(2):265-272. 被引量：1
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  • 3马知恩,周义仓.常微分方程定性与稳定性方法[M].北京:科学出版社,2003.
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  • 5HALLAM T G, CLARK C E, JORDAN G S. Effects of toxicants on populations:a qualitative: approach II. first or- der kinetics [J]. J Math Bio1,1983,18(2):9-16.
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  • 7WANG Wendi, CHEN Lansun. A. predator-prey sys- tem with stage-structure for predator [J]. Comput Math Appl, 1997,33 (8) : 83-91.
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  • 10MA Zhihui, LI Zizhen, WANG Shufan, et al. Perma- nence of a predator-prey system with stage structure and time delay [J]. Appl Math Comput,2008,201 (1/ 2) :65-71.

引证文献4

二级引证文献8

西南师范大学学报（自然科学版）
2011年 第3期

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