| THE CRITERIA OF ULTIMATE BOUNDEDNESS FOR NONAUTONOMOUS DIFFUSIVE LOTKA-VOLTERRA SYSTEMS IN TWO HETEROGENEOUS PATCHES |
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| 作者姓名： | LI Xuezhi |
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| 作者单位： | LI Xuezhi (Department of Mathematics，Xinyang Teachers College，Henan 464000，China) GENI Gupur (Deportment of Mathematics，Xinjiang University，Urumqi 830046，China) ZHU Guangtian (Institute of Systems Science，Academy of Mathematics and Systems Science |
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| 基金项目： | This research is supported by the Natural Science Foundation of Henan Province (No. 984051200 ) and Foundations of Education Com |
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| 摘 要： | 1 Introduction and PreliminariesSince the interrelations between the orgachms and the environment seem to be essentialto the system's stabilityll], the effect of diction on the possibility of species coechtence in anecological community has been an haportat subjeCt in population biology. EXcept for someexamples known as ~ive instability or diffusion-induced instability especially in aquaticsystems (see 2]), a diffusion process generally tends to promote stability in ecological systems.Numero…
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THE CRITERIA OF ULTIMATE BOUNDEDNESS FOR NONAUTONOMOUS DIFFUSIVE LOTKA-VOLTERRA SYSTEMS IN TWO HETEROGENEOUS PATCHES |
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| LI Xuezhi.THE CRITERIA OF ULTIMATE BOUNDEDNESS FOR NONAUTONOMOUS DIFFUSIVE LOTKA-VOLTERRA SYSTEMS IN TWO HETEROGENEOUS PATCHES[J].Journal of Systems Science and Complexity,2001(2). |
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| Authors: | LI Xuezhi |
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| Abstract: | In this paper, a set of sufficient conditions is obtained for the ultimate boundedness of nonautonomous n-species diffusive Lotka-Volterra sub-models in two heterogeneous patches. The sub-models are the Lotka-Volterra tree systems, including the Lotka-Volterra chain systems and the Lotka-Volterra models between one and multispecies. The criteria in this paper are in explicit forms of the parameters and thus are easily verifiable. |
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| Keywords: | Ultimate boundedness diffusive Lotka-Volterra systems patches |
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