HIV传播人群生态动力学模型的匹配解

J4 ›› 2012, Vol. 50 ›› Issue (02): 179-182.

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Matched Solution for |Bionomics Dynamic Model of HIV Propagation in Human Groups

WEN Zhaohui¹, CHEN Lihua², YAO Jingsun³, OUYANG Cheng⁴, MO Jiaqi^3,4

1. Institute of Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, Anhui Province, China;
2. Department of Mathematics and Computer Science, Fuqing Branch of Fujian Normal University, Fuqing 350300,Fujian Province, China|3. Department of Mathematics, Anhui Normal University, Wuhu 241003, Anhui Province, China;4. Faculty of Science, Huzhou Teacher College, Huzhou 313000, Zhejiang Province, China

Received:2011-05-27 Online:2012-03-26 Published:2012-03-21
Contact: MO Jiaqi E-mail:mojiaqi@mail.ahnu.edu.cn

Abstract

Abstract:

A class of mode for HIV propagation dynamics was studied. By means of the singular perturbation method, firstly, the outer solution and interior solution were constructed; secondly, they were matched, obtaining composite expansions of solution for the model; finally, comparing the accuracies for the solutions verifies the asymptotic expansion possesses a better accuracy. Finded approximate solution may describe the law of HIV propagation in the crowd of epidemics region.

Key words: HIV transmission, singular perturbation, asymptotic solution

CLC Number:

O175.29

WEN Chao-Hui, CHEN Li-Hua, TAO Jing-Sun, OU Yang-Cheng, MO Jia-Qi. Matched Solution for |Bionomics Dynamic Model of HIV Propagation in Human Groups[J].J4, 2012, 50(02): 179-182.

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Matched Solution for |Bionomics Dynamic Model of HIV Propagation in Human Groups

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