Geni Gupur1; Zhu GuangTian2; Li Xuezhi3
Source Publicationactamathematicaeapplicataesinica
AbstractThis article focuses on the study of all age structured SEIRS epidemic model with a vaccination program when the total population size is not kept at constant. We first give the explicit expression of the reproduction number R(ψ,^↑λ) in the presence of vaccine (^↑λ is the exponent of growth of total population), andshow that the infection-free steady state is lh~early stable if R(ψ,^↑λ) 1, then we apply the theoretical results to vaccination policies to determine the optimal age or ages at which an individual should be vaccinated. It is shown that the optilnal strategy can be either one- or two-age strategies.
Document Type期刊论文
3.Department of Mathematics, Xinyang Teachers College
Recommended Citation
GB/T 7714
Geni Gupur,Zhu GuangTian,Li Xuezhi. analysisofanagestructuredseirsepidemicmodelwithvaryingtotalpopulationsizeandvaccination[J]. actamathematicaeapplicataesinica,2004,020(001):25.
APA Geni Gupur,Zhu GuangTian,&Li Xuezhi.(2004).analysisofanagestructuredseirsepidemicmodelwithvaryingtotalpopulationsizeandvaccination.actamathematicaeapplicataesinica,020(001),25.
MLA Geni Gupur,et al."analysisofanagestructuredseirsepidemicmodelwithvaryingtotalpopulationsizeandvaccination".actamathematicaeapplicataesinica 020.001(2004):25.
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