| PERSISTENCE AND PERIODIC ORBITS FOR TWO-SPECIES NON-AUTONOMOUS DIFFUSION LOTKA-VOLTERRA MODELS |
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| 作者姓名： | ChenFengde |
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| 作者单位： | Dept.ofMath.,FuzhouUniv.,Fujian350002,China |
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| 基金项目： | the Start- up foundation of Fuzhou University ( 0 0 30 82 4 2 2 8),the Foundation ofDeveloping Science and Technical Developmentof Fuzhou University ( 2 0 0 3- QX- 2 1 ) and the Foundation ofScience and Technology of Fujian Province of PR China for Young |
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| 摘 要： | A non-autonomous competing system is investigated in this paper,where the species x can diffuse between two patches of a heterogeneous environment with barriers between patches,but for species y,the diffusion does not involve a barrier between patches,further it is assumed that all the parameters are time dependent. It is shown that the system can be made persistent under some appropriate conditions. Moreover,sufficient conditions that guarantee the existence of a unique positive periodic orbit which is globally asymptotic stable are derived.
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| 关 键 词： | 周期轨道 双核素 非自控散射 稳定渐近线 光栅 |
| 收稿时间： | 4 February 2002 |
Persistence and periodic orbits for two-species non-autonomous diffusion lotka-volterra models |
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| ChenFengde.PERSISTENCE AND PERIODIC ORBITS FOR TWO-SPECIES NON-AUTONOMOUS DIFFUSION LOTKA-VOLTERRA MODELS[J].Applied Mathematics A Journal of Chinese Universities,2004,19(4):359-366. |
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| Authors: | Chen Fengde |
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| Institution: | (1) Dept. of Math., Fuzhou Univ., 350002 Fujian, China |
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| Abstract: | A non-autonomous competing system is investigated in this paper,where the species x can diffuse between two patches of a heterogeneous environment with barriers between patches,but for species y,the diffusion does not involve a barrier between patches,further it is assumed that all the parameters are time dependent.It is shown that the system can be made persistent under some appropriate conditions.Moreover,sufficient conditions that guarantee the existence of a unique positive periodic orbit which is globally asymptotic stable are derived. |
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| Keywords: | persistence diffusion periodic orbits global stability |
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