| GLOBAL ATTRACTIVITY OF POPULATIONMODELS WITH DELAYS AND DIFFUSION |
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| 引用本文： | QIUZhipeng. GLOBAL ATTRACTIVITY OF POPULATIONMODELS WITH DELAYS AND DIFFUSION[J]. 系统科学与复杂性, 2005, 18(3): 396-403 |
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| 作者姓名： | QIUZhipeng |
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| 作者单位： | DepartmentofAppliedMathematics,NanjingUniversityofScienceandTechnology,Nanjing210094／／DepartmentofMathematics,UniversityofScienceandTechnologyofChina,Hefei230026,China |
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| 基金项目： | This research is supported by the Developing Fund of Nanjing University of Science and Technology. |
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| 摘 要： | In this paper, the asymptotic behavior of three types of population models with delays and diffusion is studied. The first represents one species growth in the patch Ω and periodic environment and with delays recruitment, the second models a single species dispersal among the m patches of a heterogeneous environment, and the third models the spread of bacterial infections. Sufficient conditions for the global attractivity of periodic solution are obtained by the method of monotone theory and strongly concave operators. Some earlier results are extended to population models with delays and diffusion.
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| 关 键 词： | 人口模型 渐进线 反作用扩散 周期环境 |
GLOBAL ATTRACTIVITY OF POPULATION MODELS WITH DELAYS AND DIFFUSION |
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| QIU Zhipeng. GLOBAL ATTRACTIVITY OF POPULATION MODELS WITH DELAYS AND DIFFUSION[J]. Journal of Systems Science and Complexity, 2005, 18(3): 396-403 |
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| Authors: | QIU Zhipeng |
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| Affiliation: | QIU Zhipeng Department of Applied Mathematics,Nanjing University of Science and Technology,Nanjing 210094, Department of Mathematics,University of Science and Technology of China,Hefei 230026,China. |
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| Abstract: | |
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| Keywords: | Delays population models global attractivity reaction-diffusion. |
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