A SIRS epidemic model with infection-age dependence |
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| Authors: | Zhonghua Zhang |
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| Institution: | a Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, China
b Research Center for Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, China |
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| Abstract: | Based on J. Mena-Lorca and H.W. Hethcote's epidemic model, a SIRS epidemic model with infection-age-dependent infectivity and general nonlinear contact rate is formulated. Under general conditions, the unique existence of its global positive solutions is obtained. Moreover, under more general assumptions than the existing, the existence and asymptotical stability of its equilibria are discussed. In the end, the condition on the stability of endemic equilibrium is verified by a special model. |
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| Keywords: | Epidemiology SIRS epidemic model Infection-age Equilibria Asymptotic stability |
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