一类Logistic时变收获模型的渐近分析  

Asymptotic Analysis for a Class of Time Varying Harvested Logistic Model

作　　者：周倩[1] 蒋小惠[2] 陈松林[2] ZHOU Qian;JIANG Xiaohui;CHEN Songlin(Hehai UniversityWentian College, Ma'anshan 243031, China;School of Mathematics&Physics Science and Engineering, Anhui University of Technology, Ma'anshan 243032, China)

机构地区：[1]河海大学文天学院基础部,安徽马鞍山243031 [2]安徽工业大学数理科学与工程学院,安徽马鞍山243032

出　　处：《安徽工业大学学报（自然科学版）》2016年第4期384-389,共6页Journal of Anhui University of Technology（Natural Science）

基　　金：安徽省高校自然科学研究重点项目(KJ2016A084);河海大学文天学院校级课题(WT15008)

摘　　要：研究一类含小参数的Logistic时变收获模型问题。采用匹配法构造其近似解,通过上下解法证明近似解的一致有效性,并给出近似解与精确解之间的误差估计。运用非线性多重尺度法,获得在更长时间范围内的形式渐近解。A class of the time varying harvested Logistic model with small parameters was studied.The matching method was empoyed to construct the approximate solution of the model,and the uniform validity of the approximate solution was proved via methods of upper and lower solution.At the same time,the error estimate between the approximate solution and the exact solution was given.According to the nonlinear method of multiple scales,the formal asymptotic solution for longer periods of time was obtained.

关 键 词：Logistic收获模型 近似解 匹配法 多重尺度法 

分 类 号：O175.1[理学—数学]