A nonlocal dispersal and time delayed HIV infection model with general incidences

被引:0
|
作者
WU Peng [1 ]
ZHANG Yuhuai [2 ]
WANG Ling [3 ]
机构
[1] School of Sciences, Hangzhou Dianzi University
[2] School of Humanities and Management, Zhejiang Chinese Medical University
[3] Public Foundational Courses Department, Nanjing Vocational University of Industry
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中图分类号
O175.6 [积分微分方程]; R181 [流行病学基本理论与方法];
学科分类号
摘要
Biologically, because of the impact of reproduction period and nonlocal dispersal of HIV-infected cells, time delay and spatial heterogeneity should be considered. In this paper, we establish an HIV infection model with nonlocal dispersal and infection age. Moreover, applying the theory of Fourier transformation and von Foerster rule, we transform the model to an integrodifferential equation with nonlocal time delay and dispersal. The well-posedness, positivity, and boundedness of the solution for the model are studied.
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页码:448 / 457
页数:10
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