Bookcover of Stability analysis of some epidemic models
Booktitle:

Stability analysis of some epidemic models

Stability of some epidemic models

LAP LAMBERT Academic Publishing (2013-08-16 )

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ISBN-13:

978-3-659-44623-8

ISBN-10:
3659446238
EAN:
9783659446238
Book language:
English
Blurb/Shorttext:
In this book, the dynamical behavior of some epidemiological models is investigated. Two types of epidemiological models involving vaccine and immigrants those which may contain infected individuals are proposed and analyzed. The first chapter proposed model represents SVIR epidemic model in which the infectious disease transmitted directly by contact between susceptible and infected individuals using standard mass action incidence rate. While, the second chapter proposed model represents SVIRS epidemic model in which the infectious disease transmitted, through external sources in the environment in addition to the direct contact between susceptible and infected individuals, using simple mass action incidence rate. Both the models are represented mathematically by the set of nonlinear differential equations. The existence, uniqueness and boundedness of the solution of these two models are investigated. The local and global stability conditions of all possible equilibrium points are established. The occurrence of local bifurcation and Hopf bifurcation near each of the equilibrium points are discussed.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Ahmed Ali
Number of pages:
108
Published on:
2013-08-16
Stock:
Available
Category:
Mathematics
Price:
54.90 €
Keywords:
Immigrants, Stability, Epidemic models, Vaccinated, external sources, Local and Hopf bifurcation.

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