| 时间测度上具有Holling-N类功能反应和扩散的捕食系统的周期解 |
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| 引用本文： | 黎勇,秦发金. 时间测度上具有Holling-N类功能反应和扩散的捕食系统的周期解[J]. 数学的实践与认识, 2010, 40(2) |
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| 作者姓名： | 黎勇 秦发金 |
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| 作者单位： | 1. 广西百色学院数学与计算机信息工程系,广西百色53300
2. 广西柳州师范高等专科学校数学与计算机科学系,广西柳州,545004 |
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| 摘 要： | 在时间测度上研究了一类具有Holling-N类功能反应和扩散的捕食系统,利用Mawhin重合度理论建立了这类系统周期解存在的一些新的充分性判据,从而使这一类系统的连续与离散情形,即相应的微分方程和差分方程的周期解存在性问题得到了统一.
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| 关 键 词： | 时间测度 Holling-N类功能反应 扩散 捕食系统 周期解 重合度 |
Periodic Solutions for a Class of Predator-Prey System on Time Scales with Holling-N Functional Response and Diffusion |
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| LI Yong,QIN Fa-jin. Periodic Solutions for a Class of Predator-Prey System on Time Scales with Holling-N Functional Response and Diffusion[J]. Mathematics in Practice and Theory, 2010, 40(2) |
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| Authors: | LI Yong QIN Fa-jin |
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| Affiliation: | LI Yong~1,QIN Fa-jin~2 (1.Department of Mathematics , Computer Science,Baise university,Baise 533000,China) (2.Department of Mathematics , Computer Science,Liuzhou Teachers College,Liuzhou 545004,China) |
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| Abstract: | This paper investigates the existence of periodic solutions for a class of predatorprey system on time scales with Holling-N functional response and diffusion,By using a continuation theorem based on coincidence degree theory,we obtain sufficient criteria for the existence of periodic solutions for the system.Therefore,the methods are unified to provide the existence of the desired solutions for the continuous differential equations and discrete difference equations. |
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| Keywords: | time scale Holling-N functional response diffusion predator- prey system periodic solutions coincidence degree |
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