| UNIFORM PERSISTENCE AND GLOBAL ATTRACTIVITY FOR NONAUTONOMOUS COMPETITIVE SYSTEMS WITH DISPERSION |
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| 引用本文： | SONGXinyu CHENLansun. UNIFORM PERSISTENCE AND GLOBAL ATTRACTIVITY FOR NONAUTONOMOUS COMPETITIVE SYSTEMS WITH DISPERSION[J]. 系统科学与复杂性, 2002, 15(3): 307-314 |
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| 作者姓名： | SONGXinyu CHENLansun |
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| 作者单位： | SONG Xinyu (Department of Mathematics，Xinyang Teachers College，Henan 464000，China)CHEN Lansun(Institute of Mathematics，Academy of Mathematics and Systems Science，Chinese Academy ofSciences，Beijing 100080，China) |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China，the Natural Science Foundation of Henan Province. |
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| 摘 要： | In this paper, we consider a nonautonomous competitive model with dispersion and a finite number of discrete delays. The system, which consists of two Lotka-Volterra patches, has two competitors: one can disperse between the two patches, but the other is confined to one patch and cannot disperse. Our purpose is to demonstrate that the dispersion rates have no effect on the uniform persistence of the solutions of the system. Furthermore, we establish the conditions under which the system admits a positive periodic solution which attracts all solutions.
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| 关 键 词： | 生态学 均匀持久性 整体吸引性 非自发竞争系统 色散 |
UNIFORM PERSISTENCE AND GLOBAL ATTRACTIVITY FOR NONAUTONOMOUS COMPETITIVE SYSTEMS WITH DISPERSION |
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| SONG Xinyu. UNIFORM PERSISTENCE AND GLOBAL ATTRACTIVITY FOR NONAUTONOMOUS COMPETITIVE SYSTEMS WITH DISPERSION[J]. Journal of Systems Science and Complexity, 2002, 15(3): 307-314 |
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| Authors: | SONG Xinyu |
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| Abstract: | In this paper, we consider a nonautonomous competitive model with dispersion and a finite number of discrete delays. The system, which consists of two Lotka-Volterra patches, has two competitors: one can disperse between the two patches, but the other is confined to one patch and cannot disperse. Our purpose is to demonstrate that the dispersion rates have no effect on the uniform persistence of the solutions of the system. Furthermore, we establish the conditions under which the system admits a positive periodic solution which attracts all solutions. |
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| Keywords: | Uniform persistence global attractivity dispersion. |
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