A FRACTIONAL ORDER SEIR MODEL WITH DENSITY DEPENDENT DEATH RATE

Year 2011, Volume: 40 Issue: 2, 287 - 295, 01.02.2011

E. Demirci A. Unal  n. Özalp

Abstract

A FRACTIONAL ORDER SEIR MODEL WITH DENSITY DEPENDENT DEATH RATE

Abstract

In this paper, we introduce a fractional order SEIR epidemic model with vertical transmission, where the death rate of the population is density dependent, i.e., dependent on the population size. It is also assumed that there exists an infection related death rate. We show the existence of nonnegative solutions of the model, and also give a detailed stability analysis of disease free and positive fixed points. A numerical example is also presented

Keywords

Fractional derivative, Initial value problem, SEIR model, Stability, Numerical solution

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