一类具有慢变特性的Logistic模型解的合成展开  

Synthesis of Solution to a Class of Logistic Model with Slow Variation

作　　者：孙龙[1] 陈松林[1] 

机构地区：[1]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）》2015年第1期67-71,共5页Journal of Anhui University of Technology（Natural Science）

基　　金：国家自然科学基金项目(50975003)

摘　　要：针对现实自然中Logistic模型中的参数是随着时间变化的特点,研究一类带有慢变特性的单种群的Logistic模型。利用合成法展开法,构造带有慢变特性的Logistic模型的形式渐近解;在一定假定条件下,利用微分不等式上下解理论证明了所构造的形式渐近解的存在性及一致有效性,并给出形式渐近解和精确解之间的误差估计。In view of the property in real world situation, the parameters in the Logistic models may vary with time, a class of single population Logistic models with slow variation and initial value problems were studied. By using synthetic method, the formal asymptotic solution of the model was constructed. Under certain assumed conditions, that the uniform validity of the asymptotic solution was proved via the way of upper and lower solution.Then the error between the approximate solution and the exact solution was estimated.

关 键 词：慢变特性 LOGISTIC模型 合成展开法 上下解 奇摄动 

分 类 号：O175.1[理学—数学]