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一般流行病患病人数与人口数量之间的关系

The relation between numbers of patients in general epidemic disease and corresponding population

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【作者】 朱培勇孙世新张广生宋建成

【Author】 ZHU Pei-yong, SUN Shi-xin, ZHANG Guang-sheng, SONG Jian-cheng(CoIlege of Computer Science & Technology, Southwest University for Nationalities, Chengdu 610041, P.R.C.; College of Computer Science & Technology, University of Electronic Science and Technology, Chengdu, 610054, P.R.C.)

【机构】 西南民族大学计算机学院电子科技大学计算机学院西南民族大学计算机学院 成都 610041 电子科技大学计算机学院 成都 610054成都 610054成都 610041成都 610041

【摘要】 就患病治愈后有很长免疫期的一般传染病传播过程进行研究,建立了该类疾病传播过程的动态微分方程模型.通过模型求解和数据实验测试,在假设传染强度为10-5并且恢复系数是0.2的条件下,得到结论:人类要战胜相应类别的传染病,应该尽可能把城市生活区规划成不超过2万人口的小区.

【Abstract】 We discuss the propagating process of epidemic diseases which makes people acquire strong immune abilities to them after recovering. A dynamical difFerentiable equation is built about the propagating process and an approximate part solution is obtained by solving this equation. Under the conditions of both that infectious strength is 10-5 and that convalescent cofficient is 0.2, we obtain the conclusion: Mankind ought to build his towns into small ones in which population is not more than 20 thousands in order to triumph over this kind of infectious diseases.

【基金】 全国大学生数学建模竞赛组委会经费资助.
  • 【文献出处】 西南民族大学学报(自然科学版) ,Journal of Southwest University for Nationalities (Natural Science Edition) , 编辑部邮箱 ,2003年05期
  • 【分类号】R181.3
  • 【被引频次】3
  • 【下载频次】112
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