期刊
JOURNAL OF THEORETICAL BIOLOGY
卷 265, 期 2, 页码 177-184出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2010.04.011
关键词
HIV/AIDS epidemic; Basic reproduction number; Infection-age-structure
资金
- College Science Research Plan Project of Xinjiang Uighur Autonomous Region [XJEDU2007103, XJEDU2007G01]
This paper develops an impulsive SUI model of human immunodeficiency virus/acquired immunodeficiency syndrome(HIV/AIDS) epidemic for the first time to study the dynamic behavior of this model. The SUI model is described by impulsive partial differential equations. First, the well-posedness of the model is attained by the method of characteristic lines and iterative method. Secondly, the basic reproduction number R-0(q,T) of the epidemic which depends on the impulsive HIV-finding period T and the HIV-finding proportion q is obtained by mathematical analysis. Our result shows that HIV/AIDS epidemic can be theoretically eradicated if we can have the suitable HIV-finding proportion q and the impulsive HIV-finding period T such that R-0(q,T)<1. We also conjecture that the infection-free periodic solution of the SUI model is unstable when R-0(q,T)>1. (c) 2010 Elsevier Ltd. All rights reserved.
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