Title of article
FRACTIONAL ORDER SEIR MODEL WITH DENSITY DEPENDENT DEATH RATE
Author/Authors
Demirci, Elif Ankara University - Faculty of Sciences - Department of Mathematics, Ankara, Turkey , Unal, Arzu Ankara University - Faculty of Sciences - Department of Mathematics, Ankara, Turkey , Nuri Ozalp Ankara University - Faculty of Sciences - Department of Mathematics, Ankara, Turkey
Pages
9
From page
287
To page
295
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
Journal title
Hacettepe Journal Of Mathematics and Statistics
Serial Year
2011
Journal title
Hacettepe Journal Of Mathematics and Statistics
Record number
2650970
Link To Document