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时间测度上具有Beddington-DeAngelis类功能反应和扩散的捕食系统的周期解 被引量：6

PERIODIC SOLUTION FOR A CLASS OF PREDATOR-PREY SYSTEM ON TIME SCALES WITH Beddington-DeAngelis FUNCTIONAL RESPONSE AND DIFFUSION
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摘要 在时间测度上研究了一类具有Beddington-DeAngelis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. The existence of periodic solution for a class of predator-prey system on time scales with Beddington-DeAngelis functional response and diffusion is investigated.By using a continuation theorem based on coincide degree theory,sufficient criteria for the existence of periodic solution of the system are obtained.The results provide unified existence theorems of periodic solution for the continuous differential equations and discrete difference equations.
作者 黄燕革 姚晓洁 黄勇
机构地区 百色学院数学与计算机信息工程系 柳州师范高等专科学校数学与计算机科学系
出处 《华南师范大学学报（自然科学版）》 CAS 北大核心 2010年第4期19-26,共8页 Journal of South China Normal University(Natural Science Edition)
关键词 时间测度 Beddington-DeAngelis类功能反应 捕食系统 周期解 重合度 time scale Beddington-DeAngelis functional response predator-prey system periodic solution coincide degree
分类号 Q141 [生物学—生态学]
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参考文献11

二级参考文献22

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共引文献67

同被引文献44

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引证文献6

二级引证文献14

华南师范大学学报（自然科学版）
2010年 第4期

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