一类具有可变延迟Lasota-Wazewska模型的渐近概周期解  

Asymptotically Almost Periodic Solutions for a Class of Lasota-Wazewska models with Variable Delay

作　　者：姚慧丽 孙影 YAO Hui-Li;SUN Ying(School of Applied Sciences,Harbin University of Science and Technology , Harbin 150080, China)

机构地区：[1]哈尔滨理工大学理学院,哈尔滨150080

出　　处：《哈尔滨理工大学学报》2021年第5期152-156,共5页Journal of Harbin University of Science and Technology

基　　金：黑龙江省自然科学基金(A2018006).

摘　　要：由于Lasota-Wazewska模型与生物数学有着密不可分的联系,所以研究此模型的各种解的存在性成为了很多数学工作者关注的问题。将针对一类具有可变延迟的Lasota-Wazewska模型的渐近概周期解进行研究。利用函数的一致连续性,渐近概周期函数的相关理论以及Banach压缩映射原理,讨论该类模型的渐近概周期解的存在性以及唯一性。Because Lasota-Wazewska models are closely related to biological mathematics,studying various solutions for the models has become concerns for many mathematical workers.Asymptotically almost periodic solutions will be studied for a class of Lasota-Wazewska models with variable delay in this paper.Using the uniform continuity of functions,related theories of asymptotically almost periodic functions and Banach compression mapping principle,the existence and uniqueness of asymptotically almost periodic solutions for this kind of models are discussed.

关 键 词：Lasota-Wazewska模型 渐近概周期解 延迟 BANACH压缩映射原理 

分 类 号：O177.92[理学—数学]