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一类数学生物经济模型的周期性
引用本文:张伟鹏,范猛,叶丹.一类数学生物经济模型的周期性[J].应用数学学报,2004,27(2):345-352.
作者姓名:张伟鹏  范猛  叶丹
作者单位:1. 华东师范大学数学系,上海,200062;东北师范大学数学与统计学院,植被生态教育部重点实验室,长春,130024
2. 东北师范大学数学与统计学院,植被生态教育部重点实验室,长春,130024
基金项目:国家自然科学基金(10171010,10201005号),教育部科学技术研究重点项目(重点01061号),吉林省杰出青年基金
摘    要:利用重合度理论中的延拓定理研究了一类非自治的数学生物经济模型的正周期解的存在性,得到了保证周期解存在的充分性判据.

关 键 词:重合度理论  延拓定理  数学生物经济模型  周期解  生物资源

PERIODICITY OF A CLASS OF MATHEMATICAL MODELS ARISING IN BIOECONOMICS
ZHANG WEIPENG School of Mathematics and Statistics,Key Laboratory for Vegetation Ecology of the Ministry of Education,Northeast Normal University,Changchun.PERIODICITY OF A CLASS OF MATHEMATICAL MODELS ARISING IN BIOECONOMICS[J].Acta Mathematicae Applicatae Sinica,2004,27(2):345-352.
Authors:ZHANG WEIPENG School of Mathematics and Statistics  Key Laboratory for Vegetation Ecology of the Ministry of Education  Northeast Normal University  Changchun
Institution:ZHANG WEIPENG School of Mathematics and Statistics,Key Laboratory for Vegetation Ecology of the Ministry of Education,Northeast Normal University,Changchun 130024 Department of Mathematics,East China Normal University,Shanghai 200062 FAN MENG,YE DAN School of Mathematics and Statistics,Key Laboratory for Vegetation Ecology of the Ministry of Education,Northeast Normal University,Changchun 130024
Abstract:Sufficient criteria are established for the existence of positive periodic solutions of a class of mathematical models axising in bioeconomics. The approach is based on the coincidence degree and related continuation theorem.
Keywords:Mathematcial bioeconomics systems  periodicity  continuation theorem
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