# 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.))
• Published : 2010.11.30

#### 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.

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