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ANALYSIS OF AN SIS EPIDEMIOLOGIC MODEL WITH VARIABLE POPULATION SIZE AND A DELAY 被引量：1

ANALYSIS OF AN SIS EPIDEMIOLOGIC MODEL WITH VARIABLE POPULATION SIZE AND A DELAY
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摘要 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. 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.
作者 Yuan Sanling Han Litao Ma ZhienDept. of Appl. Math., Xi’an Jiaotong Univ., Xi’an 710049,China.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第1期9-16,共8页 高校应用数学学报（英文版）（B辑）
基金 theNationalNaturalScienceFoundationsofChina(199710 66)andtheYouthSciencesFoun dationofShaanxi(2 0 0 2 10 0 3) .
关键词 epidemiologic modeling SIS model DELAY threshold. epidemiologic modeling,SIS model,delay,threshold.
分类号 O175 [理学—基础数学]
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参考文献10

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Applied Mathematics(A Journal of Chinese Universities)
2003年 第1期

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