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analysis of rabies in china transmission dynamics and control分析中国狂犬病的传播动力学和控制
Analysis of Rabies in China: Transmission Dynamics and
Control
1 1 1 2,3 4
Juan Zhang , Zhen Jin , Gui-Quan Sun , Tao Zhou , Shigui Ruan *
1 Department of Mathematics, North University of China, Taiyuan, Shan’xi, People’s Republic of China, 2 Web Sciences Center, University of Electronic Science and
Technology of China, Chengdu, Sichuan, People’s Republic of China, 3 Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui,
People’s Republic of China, 4 Department of Mathematics, University of Miami, Coral Gables, Florida, United States of America
Abstract
Human rabies is one of the major public-health problems in China. The number of human rabies cases has increased
dramatically in the last 15 years, partially due to the poor understanding of the transmission dynamics of rabies and the lack
of effective control measures of the disease. In this article, in order to explore effective control and prevention measures we
propose a deterministic model to study the transmission dynamics of rabies in China. The model consists of susceptible,
exposed, infectious, and recovered subpopulations of both dogs and humans and describes the spread of rabies among
dogs and from infectious dogs to humans. The model simulations agree with the human rabies data reported by the
Chinese Ministry of Health. We estimate that the basic reproduction number R0 ~2 for the rabies transmission in China and
predict that the number of the human rabies is decreasing but may reach another peak around 2030. We also perform some
sensitivity analysis of R0 in terms of the model parameters and compare the effects of culling and immunization of dogs.
Our study demonstrates that
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