中北大学学报(自然科学版)Issue(6):628-632,5.DOI:10.3969/j.issn.1673-3193.2014.06.002
具有Beddington-DeAngelis反应的食物链模型的渐近周期解
Asymptotical Periodic Solution of a Food-Chain Model with Beddington-DeAngelis Functional Response
摘要
Abstract
A food-chain model with Beddington-DeAngelis functional response was investigated .Assuming that the coefficients of system were all asymptotical periodic functions and by means of constructing a suitable Liapunov function, the conditions of the systemic unique asymptotical periodic solution which was globally as -ymptotically stable were obtained .It is shown that the coefficients of system are under some suitable condi-tions, the unique asymptotical periodic solution w hich is globally asymptotical stable is exist in the system . Result which is obtained from the investigation is a good complement to the earlier publications .关键词
渐近周期解/Liapunov 函数/Beddington-DeAngelis功能反应/食物链模型Key words
asymptotically periodic solution/Liapunov function/Beddington-DeAngelis functional response/food-chain model分类
数理科学引用本文复制引用
徐昌进,姚凌云..具有Beddington-DeAngelis反应的食物链模型的渐近周期解[J].中北大学学报(自然科学版),2014,(6):628-632,5.基金项目
国家自然科学基金资助项目(11261010);贵州省优秀科技教育人才省长基金 ()