一类Lasota-Wazewska模型伪概周期解的全局吸引性

王丽; 梁博强; 刘金

doi:10.21656/1000-0887.380256

一类Lasota-Wazewska模型伪概周期解的全局吸引性

doi: 10.21656/1000-0887.380256

西北工业大学理学院, 西安 710072

基金项目: 陕西省自然科学基础研究计划（2017JM5140）

详细信息

作者简介:
王丽（1982—），女，副教授，博士(通讯作者. E-mail: lwangmath@nwpu.edu.cn).

中图分类号: O175
计量
- 文章访问数: 1193
- HTML全文浏览量: 184
- PDF下载量: 413
- 被引次数: 0
出版历程
- 收稿日期: 2017-09-14
- 修回日期: 2018-02-01
- 刊出日期: 2018-09-15

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

School of Natural and Applied Sciences, Northwestern Polytechnical University,Xi’an 710072, P.R.China

摘要

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.
- Lasota-Wazewska模型 /
- 伪概周期解 /
- Lyapunov函数 /
- 全局吸引性
Abstract: 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.
- Lasota-Wazewska model /
- pseudo almost periodic solution /
- Lyapunov function /
- global attractivity

HTML全文

参考文献(15)

[1]	WAZEWSKA-CZYZEWSKA M, LASOTA A. Mathematical problems of the dynamics of a system of red blood cells[J]. Mat Stos,1976,17(6): 23-40.
[2]	景冰清, 王丽丽. Lasota-Wazewska模型的唯一周期正解的存在性[J]. 太原科技大学学报, 2008,29(3): 217-219.(JING Bingqing, WANG Lili. Existence of unique positive periodic solution for a Lasota-Wazewska model[J]. Journal of Taiyuan University of Science and Technology,2008,29(3): 217-219.(in Chinese))
[3]	CHEN L, CHEN F. Positive periodic solution of the discrete Lasota-Wazewska model with impulse[J]. Journal of Difference Equations and Applications,2014,20(3): 406-412.
[4]	马苏奇, 陆启韶. 具有非线性出生率的时滞Lasota-Wazewska模型的稳定性分岔[J]. 南京师范大学学报(自然科学版), 2005,28(2): 1-5.(MA Suqi, LU Qishao. Stability bifurcations of Lasota-Wazewska-type model with maturation delay and nonlinear birth rate[J]. Journal of Nanjing Normal University (Natural Science),2005,28(2): 1-5.(in Chinese))
[5]	王爱丽. 具有连续时滞的Lasota-Wazewska模型的Hopf-分支[J]. 江西师范大学学报(自然科学版), 2008,32(3): 330-334.(WANG Aili. The Hopf-bifurcation in a Lasota-Wazewska-type model with continuous delays[J]. Journal of Jiangxi Normal University (Natural Science),2008,32(3): 330-334.(in Chinese))
[6]	WANG L, YU M, NIU P. Periodic solution and almost periodic solution of impulsive Lasota-Wazewska model with multiple time-varying delays[J]. Computers and Mathematics With Applications,2012,64(8): 2383-2394.
[7]	柏琼, 冯春华. 具非线性脉冲时滞的Lasota-Wazewska模型概周期解的存在性与稳定性[J]. 广西科学, 2011,18(4): 329-332.(BAI Qiong, FENG Chunhua. Existence and stability of almost periodic solutions for nonlinear impulsive Lasota-Wazewska model[J]. Guangxi Sciences,2011,18(4): 329-332.(in Chinese))
[8]	STAMOV G T. On the existence of almost periodic solutions for the impulsive Lasota-Wazewska model[J]. Applied Mathematics Letters,2009,22(4): 516-520.
[9]	陈晓英, 施春玲. 一类具有无穷时滞的Lasota-Wazewska模型的概周期解[J]. 福州大学学报(自然科学版), 2014,42(1): 8-11.(CHEN Xiaoying, SHI Chunling. Almost periodic solution for a Lasota-Wazewska model with infinte delay[J]. Journal of Fuzhou University (Natural Science Edition),2014,42(1): 8-11.(in Chinese))
[10]	龙志文. 几类时滞生物数学模型的全局动力学分析[D]. 博士学位论文. 长沙: 湖南大学, 2016.(LONG Zhiwen. Global dynamics analysis of several biological models with time delays[D]. PhD Thesis. Changsha: Hunan University, 2016.(in Chinese))
[11]	RIHANI S, KESSAB A, CHERIF F. Pseudo almost periodic solutions for a Lasota-Wazewska model[J]. Electronic Journal of Differential Equations,2016,2016(62): 1-17.
[12]	廖书, 杨炜明. 考虑媒体播报效应的双时滞传染病模型[J]. 应用数学和力学, 2017,38(12): 1412-1424.(LIAO Shu, YANG Weiming. An epidemic model with dual delays in view of media coverage[J]. Applied Mathematics and Mechanics,2017,38(12): 1412-1424.(in Chinese))
[13]	彭剑, 李禄欣, 胡霞, 等. 时滞影响下受控斜拉索的参数振动稳定性[J]. 应用数学和力学, 2017,38(2): 181-188.(PENG Jian, LI Luxin, HU Xia, et al. Parametric vibration stability of controlled stay cables with time delays[J]. Applied Mathematics and Mechanics,2017,38(2): 181-188.(in Chinese))
[14]	ZHANG Chuanyi. Almost Periodic Type Functions and Ergodicity[M]. Beijing: Science Press, 2003.
[15]	SAMOILENKO A M, PERESTYUK N A. Impulsive Differential Equations[M]. Singapore: World Scientific, 1995.