Study of Epidemic Disease Modeling for HIV: To find the reproductive number by spectral radius method. Study of stability and unstability of presented models - Couverture souple

Seddighi-Chaharborj, Sarkhosh; Ismail, Fudziah; Gheisari, Yousof

Couverture souple

ISBN 10 : 3659117617 ISBN 13 : 9783659117619

Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

Mathematical modeling is an important device to analyze and control the spread of infectious diseases increase in a society. In these models there are parameters and other variables of the problem. Mathematical models have important tools in analyzing the spread and control of infectious diseases. The model formulation process clarifies assumptions, variables, and parameters; moreover, models provide conceptual results such as thresholds, basic reproduction numbers, contact numbers and replacement numbers. This book shows the applications of mathematical modeling in epidemic disease. By using mathematical modeling we can analyze and control the spread of infectious diseases increase in a society. One of the fundamental questions of mathematical epidemiology is to find threshold conditions that determine whether or not an infectious disease will spread in a susceptible population when the disease is introduced into the population. The threshold conditions are characterized by the so called reproductive number. In this book we derive an explicit formula for the reproductive number employing the spectral radius of the next generation operator.

Détails de l'édition

• Éditeur: LAP LAMBERT Academic Publishing
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 3659117617
• ISBN 13: 9783659117619
• Reliure: Broché
• Nombre de pages: 108
• Coordonnées du fabricant: non disponible
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