| 具有非线性种内制约关系和分布时滞竞争模型的稳定性 |
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| 引用本文： | 谢溪庄,刘胜强.具有非线性种内制约关系和分布时滞竞争模型的稳定性[J].生物数学学报,2011(3):469-482. |
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| 作者姓名： | 谢溪庄 刘胜强 |
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| 作者单位： | 华侨大学数学科学学院;哈尔滨工业大学理学研究中心; |
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| 基金项目： | 国务院侨办科研基金资助项目(09QZR10) |
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| 摘 要： | 构造并研究了一类具有分布时滞和非线性种内制约关系的竞争模型.得到了这类模型的边界平衡点和共存平衡点全局渐近稳定的条件,以及分布时滞、非线性种内制约关系对模型的影响.
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| 关 键 词： | 分布时滞 非线性种内制约关系 全局渐近稳定 |
Stability in Two-species Competition with Distributed Delays and Nonlinear intraspecific Regulation |
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| XIE xi-zhuang LIU Sheng-qiang.Stability in Two-species Competition with Distributed Delays and Nonlinear intraspecific Regulation[J].Journal of Biomathematics,2011(3):469-482. |
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| Authors: | XIE xi-zhuang LIU Sheng-qiang |
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| Institution: | XIE xi-zhuang~1 LIU Sheng-qiang~2 (1 School of Mathematical Sciences,huaqiao University,Quanzhou Fujian 362021 China) (2 Science Research Center,Harbin Institute of Technology,Harbin Heilongjiang 150001 China) |
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| Abstract: | In this paper,the stage structured competition models with nonlinear intraspecific regulation represented by distributed types of delays are proposed and considered.And sharp global stability criteria are established for the coexistence equilibrium as well as the extinction equilibrium.Effects of stage structure with distributed types of delays and nonlinear intraspecific regulation on behaviors of species are discussed. |
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| Keywords: | Distributed delay Nonlinear intraspecific Regulation Global stability |
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