一类生态模型的近似解析解

一类生态模型的近似解析解 The Approximate Analytic Solution of a Class of Ecological Model 汪维刚 WANG Weigang 1 first-author 石兰芳 SHI Lanfang 2 莫嘉琪 MO Jiaqi 3 安庆师范学院桐城教学部 安庆师范学院桐城教学部 Tongcheng Teaching Department,Anqing Teacher’s College Tongcheng Teaching Department,Anqing Teacher’s College 南京信息工程大学数学与统计学院 南京信息工程大学数学与统计学院 College of Mathematics and Statistics,Nanjing University of Information Science & Technology College of Mathematics and Statistics,Nanjing University of Information Science & Technology 安徽师范大学数学系 安徽师范大学数学系 Department of Mathematics,Anhui Normal University Department of Mathematics,Anhui Normal University 研究一类了生态种群动力学模型.利用一组泛函,选取拉格朗日乘子,用修正的变分方法,得到了相应模型的近似解.采用一个简便的方法求得非线性种群动力学模型的精度较高的近似解. A class of ecological population dynamic model was considered.Firstly,the corresponding functional was used;secondly,the Lagrange operator was selected;and then the corresponding approximate solutions were obtained by the modified variational method.In this paper,a higher accurate approximate solution of the nonlinear ecological population dynamic model by the modified variational method was obtained by using a simple and convenient method. 变分 动力学模型 拉格朗日乘子 variational dynamic model Lagrange operator 10.14188/j.1671-8836.2015.04.003 O175 国家自然科学基金资助项目（11202106）;江苏省高校自然科学研究项目（13KJB170016）;安徽省高等学校省级自然科学研究重点项目（KJ2013A133） 2015-04-01 2021-03-31 4 61