| 具有脉冲的非自治多种群Lotka—Volterra竞争系统的周期性 |
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| 引用本文： | 程荣福. 具有脉冲的非自治多种群Lotka—Volterra竞争系统的周期性[J]. 吉林林学院学报, 2012, 0(1): 1-8 |
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| 作者姓名： | 程荣福 |
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| 作者单位： | 北华大学数学学院,吉林吉林132033 |
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| 基金项目： | 吉林省教育厅科学技术研究项目（2008-136） |
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| 摘 要： | 研究了一类具有脉冲和时滞的非自治n种群Lotka．Volterra竞争系统，利用重合度理论中的延拓定理，获得了保证系统正周期解存在的充分条件，揭示了当非自治n种群的出生率与投放率足够大或者种群内部竞争率足够小时，系统将产生生物性周期振荡现象．
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| 关 键 词： | Lotka．Voherra竞争系统 脉冲 正周期解 |
Periodicity of a Nonautonomous Multi-Species Lotka-Volterra Competitive System with Impulse |
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| CHENG Rong-fu. Periodicity of a Nonautonomous Multi-Species Lotka-Volterra Competitive System with Impulse[J]. , 2012, 0(1): 1-8 |
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| Authors: | CHENG Rong-fu |
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| Affiliation: | CHENG Rong-fu ( Mathematics College of Beihua University, Jilin 132033, China) |
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| Abstract: | By using the continuation theorem of coincidence degree theory, we study the nonautonomous n-species Lotka-Voherra competitive system with impulse and time delay. A set of sufficient conditions for this system to have positive periodic solutions are established. When the birth rate and the invest rate of the nonautonomous n-species are enough large or the competition rate within species is enough small, the system will bring periodic oscillation phenomenon of biological nature. |
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| Keywords: | Lotka-Volterra competitive system impulse positive periodic solution |
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