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Uncertain Positive Systems

Name: Uncertain Positive Systems
Brand: LAP Lambert Academic Publishing
SKU: 07084209
Price: 45.89 EUR
Availability: InStock
Author: Vahid Samadi Bokharaie
ISBN: 9783659258053

with applications in epidemiology

Vahid Samadi Bokharaie

Language

English

Book Paperback

Libristo code: 07084209

Publishers LAP Lambert Academic Publishing, November 2011

Although in recent years much attention has been paid to positive systems in general, there are stil... Full description

Libristo code: 07084209

112 b

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Although in recent years much attention has been paid to positive systems in general, there are still many areas that are left untouched. One of these areas, is the stability analysis of positive systems under any form of uncertainty. In this book, we study three broad classes of positive systems subject to different forms of uncertainty: nonlinear, switched and time-delay positive systems. Our focus is on positive systems which are monotone. Naturally, monotonicity methods play a key role in obtaining our results. As an application of our theoretical work on positive systems, we study a class of epidemiological systems with time-varying parameters. Most of the work done so far in epidemiology has been focused on models with time-independent parameters. Based on some of the recent results in this area, we describe the epidemiological model as a switched system and present some results on stability properties of the disease-free state of the epidemiological model.