一类Lasota-Wazewska模型伪概周期解的全局吸引性  

Global Attractivity of Pseudo Almost Periodic Solutions to a Class of Lasota-Wazewska Models

作　　者：王丽[1] 梁博强 刘金 WANG Li;LIANG Boqiang;LIU Jin(School of Natural and Applied Sciences,Northwestern Polytechnical University,Xi＇an 710072,P.R.China)

机构地区：[1]西北工业大学理学院,西安710072

出　　处：《应用数学和力学》2018年第9期1091-1098,共8页Applied Mathematics and Mechanics

基　　金：陕西省自然科学基础研究计划(2017JM5140)

摘　　要：Lasota-Wazewska模型常被用来描述动物体内红血球的再生情况.基于Banach压缩映射原理同时构造合适的Lyapunov函数,针对一类带时滞的Lasota-Wazewska模型研究了其伪概周期解的存在性、唯一性及全局吸引性.该文结果具有一定的优越性,且能够使关于Lasota-Wazewska模型动力学行为的刻画更加丰富.The Lasota-Wazewska model is often used to describe the regeneration of red blood cells in animals. Based on the Banach contraction mapping principle and through construction of the Lyapunov function,the existence,uniqueness and global attractivity of pseudo almost periodic solutions to a class of Lasota-Wazewska models were studied. The results have some advantages,and can enrich the characterization of the dynamic behavior of the Lasota-Wazewska model.

关 键 词：Lasota-Wazewska模型 伪概周期解 LYAPUNOV函数 全局吸引性 

分 类 号：O175[理学—数学]