Overview

Virtually any advance in disease dynamics requires a sophisticated mathematical approach in order to map out the parameters that drive the system. This book exploits some of the fundamental theory of dynamical systems and applies them to biological and social sciences. Topics include the asymptotic stability of almost periodic systems; modelling and vibration-based system identification and damage inspection of flexible structures; the stability and persistence of dynamical systems using Lyapunov functions; Krylov and Schur subspaces in construction of prediction error filter and its computational complexity and performance comparison, parametric resonance and homoclinic chaos in a Bullard-type dynamo; and birhythmicity, synchronisation and chaos in an enzyme-substrate reaction with ferroelectric behaviour. Biological applications include the local stability of an age-structured Hepatitis B model, the dynamics of a predator-prey model, avian influenza, tuberculosis, malaria and HIV-TB co-dynamics. A possible application of non-linear dynamical systems in social sciences is also investigated.

Full Product Details

Author:   Jean Michel Tchuenche
Publisher:   Nova Science Publishers Inc
Imprint:   Nova Science Publishers Inc
Dimensions:   Width: 18.00cm , Height: 2.40cm , Length: 26.00cm
Weight:   0.818kg
ISBN:  

9781628080018

ISBN 10:   1628080019
Pages:   312
Publication Date:   01 July 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order  
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Preface; Markus-Sells Theorem for Asymptotically Almost Periodic Systems; A Survey of the Method of Lyapunov Functions of Two Variables in The Study of Stability & Persistence of Dynamical Systems; Krylov & Schur Subspaces in Construction of Prediction Error Filter: Computational Complexity & Performance Comparison; High-Fidelity Modeling & Vibration-Based System Identification & Damage Inspection of Flexible Structures; Complexity & Chaos Theory in Social Sciences: Scientific Philosophy or Quantitative Science?; Local Stability Analysis of an Age-Structured Hepatitis B Transmission Model; Parametric Resonance & Homoclinic Chaos in a Bullard-Type Dynamo; Birhythmicity, Synchonization & Chaos in an Enzyme-Substrate Reaction with a Ferroelectric Behavior; Dynamics of Low & High Pathogenic Avian Influenza in Wild Bird Population; Analysis of A Predator-Prey Model with Sigmoidal Response Function & SIS Disease; Impact of Multi-Intervention Campaigns on the Malaria Epidemic in Malawi; Modelling the Dynamics of HIV-TB Co-Infection in a Variable Size Population; Case Detection on Tuberculosis Dynamics with Isolation in a Sanatorium; Index.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions