Existence and global attractivity of unique positive almost periodic solution for a model of hematopoiesis 被引量：7

Existence and global attractivity of unique positive almost periodic solution for a model of hematopoiesis

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摘要 Sufficient conditions are obtained which guarantee the uniform persistence and global attractivity of solutions for the model of hematopoiesis. Then some criteria are established for the existence, uniqueness and global attractivity of almost periodic solutions of almost periodic system. Sufficient conditions are obtained which guarantee the uniform persistence and global attractivity of solutions for the model of hematopoiesis. Then some criteria are established for the existence, uniqueness and global attractivity of almost periodic solutions of almost periodic system.

作者 YANG Xi-tao

机构地区 Department of Mathematics

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第1期25-34,共10页 高校应用数学学报（英文版）（B辑）

基金 Supported by the NNSF of China(10671021) the SRF of Hunan Provincial Education Department(09C388)

关键词 Almost periodicity global attractivity uniform persistence. Almost periodicity, global attractivity, uniform persistence.

分类号 Q141 [生物学—生态学] O175.1 [理学—基础数学]

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参考文献14

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同被引文献3

1周辉,周宗福.中立型泛函微分方程S^p权伪概自守温和解[J].系统科学与数学,2013,33(4):488-495. 被引量：1
2张珂溶,李建利.脉冲Hematopoiesis模型的概周期解（英文）[J].数学理论与应用,2013,33(2):20-28. 被引量：3
3Tianwei Zhang.Almost periodic oscillations in a generalized Mackey-Glass model of respiratory dynamics with several delays[J].International Journal of Biomathematics,2014,7(3):97-118. 被引量：2

引证文献7

1姚晓洁.具有收获率和非线性死亡率的脉冲Nicholoson's blowflies模型正周期解[J].华南师范大学学报（自然科学版）,2014,46(5):21-25.
2姚晓洁.具有收获率的脉冲广义Hematopoiesis模型正周期解新结果[J].数学的实践与认识,2015,45(8):312-319.
3姜阿尼.一类具振动循环损失率的造血模型的伪概周期解[J].数学物理学报（A辑）,2016,36(1):80-89.
4Zhinan Xia,Dingjiang Wang.Pseudo-almost periodic solution for impulsive hematopoiesis model with infinite delays and linear harvesting term[J].International Journal of Biomathematics,2016,9(5):243-259. 被引量：2
5杨喜陶.一类时滞捕食-食饵系统的概周期解的存在唯一性和全局吸引性[J].生物数学学报,2016,31(4):527-537. 被引量：2
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7陈雪梅,杨喜陶.广义造血模型正概周期解的存在性[J].湖南文理学院学报（自然科学版）,2019,31(4):7-12.

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2Fanchao Kong.Dynamical behaviors of the generalized hematopoiesis model with discontinuous harvesting terms[J].International Journal of Biomathematics,2019,12(1):195-231.
3Zhinan Xia,Qianlian Wu,Dingjiang Wang.Stability in terms of two measures for population growth models with impulsive perturbations[J].International Journal of Biomathematics,2020,13(6):199-211.
4魏宁,占萌颖,郑立飞,万阿英.具有密度制约捕食者-食饵系统周期解的全局存在性[J].应用数学,2021,34(3):632-638.

1HONG Peng-hua WENG Pei-xuan.Attractivity and Oscillation of Almost-periodic Solution for a Discrete Model of Hematopoiesis[J].Chinese Quarterly Journal of Mathematics,2013,28(1):20-26.
2张珂溶,李建利.脉冲Hematopoiesis模型的概周期解（英文）[J].数学理论与应用,2013,33(2):20-28. 被引量：3
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Applied Mathematics(A Journal of Chinese Universities)

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Existence and global attractivity of unique positive almost periodic solution for a model of hematopoiesis 被引量：7

参考文献14

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引证文献7

二级引证文献4

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