| 一类具有总人口变化含时滞的SIS流行病模型分析 |
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| 引用本文： | 原三领,韩丽涛,马知恩. 一类具有总人口变化含时滞的SIS流行病模型分析[J]. 高校应用数学学报(英文版), 2003, 18(1): 9-16. DOI: 10.1007/s11766-003-0078-2 |
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| 作者姓名： | 原三领 韩丽涛 马知恩 |
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| 作者单位： | Yuan Sanling Han Litao Ma ZhienDept. of Appl. Math.，Xi'an Jiaotong Univ.，Xi'an 710049，China. |
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| 基金项目： | theNationalNaturalScienceFoundationsofChina(199710 66)andtheYouthSciencesFoun dationofShaanxi(2 0 0 2 10 0 3) . |
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| 摘 要： | § 1 ＩｎｔｒｏｄｕｃｔｉｏｎＩｎａｎｅｐｉｄｅｍｉｏｌｏｇｉｃａｌｍｏｄｅｌ,ｉｆｔｈｅｒｅａｒｅｍａｎｙｄｉｓｅａｓｅ ｒｅｌａｔｅｄｄｅａｔｈｓｏｒｔｈｅｂｉｒｔｈｓａｒｅｎｏｔｂａｌａｎｃｅｄｂｙｔｈｅｄｅａｔｈｓ,ｔｈｅｎｔｈｅｐｏｐｕｌａｔｉｏｎｓｉｚｅｍｕｓｔｂｅａｓｓｕｍｅｄｔｏｂｅａｆｕｎｃｔｉｏｎｏｆｔｉｍｅ[1] .ＩｎＳＩＳｅｐｉｄｅｍｉｏｌｏｇｉｃｍｏｄｅｌｓ,ｓｕｓｃｅｐｔｉｂｌｅｓｂｅｃｏｍｅｉｎｆｅｃｔｅｄａｆｔｅｒｓｕｆｆｉｃｉｅｎｔｃｏｎｔａｃｔｗｉｔｈａｎｉｎｆｅｃ…
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| 收稿时间： | 2001-10-31 |
Analysis of an SIS epidemiologic model with variable population size and a delay |
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| Yuan Sanling,Han Litao,Ma Zhien. Analysis of an SIS epidemiologic model with variable population size and a delay[J]. Applied Mathematics A Journal of Chinese Universities, 2003, 18(1): 9-16. DOI: 10.1007/s11766-003-0078-2 |
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| Authors: | Yuan Sanling Han Litao Ma Zhien |
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| Affiliation: | (1) Dept. of Appl. Math., Xi’an Jiaotong Univ., 710049 Xi’an, China |
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| Abstract: | Epidemiologic model of SIS type has a delay corresponding to the infectious period and disease related deaths,so that the population size is variable.The population dynamics structure is recruitment and natural births with natural deaths.The incidence term is of the standard incidence.Here the thresholds and equilibria are detemined,and stabilities are examined.The persistence of the infectious disease and disease related deaths can lead to a new equilibrium population size below the carrying capacity. |
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| Keywords: | epidemiologic modeling SIS model delay threshold. |
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