A FRACTIONAL ORDER SEIR MODEL WITH DENSITY DEPENDENT DEATH RATE

Authors : E DEMİRCİ, A UNAL ,  n ÖZALP

Pages : 287-295

View : 25 | Download : 12

Publication Date : 2011-02-01

Article Type : Research Paper

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