[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2010.47.6.1131

AN EXTENSION OF AN ANALYTIC FORMULA OF THE DETERMINISTIC EPIDEMICS MODEL PROBLEM THROUGH LIE GROUP OF OPERATORS

Kumar, Hemant (DEPARTMENTS OF MATHEMATICS D.A-V.P.G. COLLEGE KANPUR, (U.P.))
Kumari, Shilesh (DEPARTMENTS OF MATHEMATICS D.A-V.P.G. COLLEGE KANPUR, (U.P.))

Publication Information

Bulletin of the Korean Mathematical Society / v.47, no.6, 2010 , pp. 1131-1138 More about this Journal

Abstract

In the present paper, we evaluate an analytic formula as a solution of Susceptible Infective (SI) model problem for communicable disease in which the daily contact rate (C(N)) is supposed to be varied linearly with population size N(t) that is large so that it is considered as a continuous variable of time t. Again, we introduce some Lie group of operators to make an extension of above analytic formula of the determin-istic epidemics model problem. Finally, we discuss some of its particular cases.

Keywords

an analytic formula of the deterministic epidemics model problem; Kummer hypergeometric function $_1F_1({\cdot})$ ; Lie group of operators; extension formula;

Citations & Related Records

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