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Book Synopsis
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.

Dynamical Systems: Theory, Applications & Future

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    A Hardback by Jean Michel Tchuenche

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      Publisher: Nova Science Publishers Inc
      Publication Date: Publication Date: 01/07/2013
      ISBN13: 9781628080018, 978-1628080018
      ISBN10: 1628080019
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      Mathematics

      Description

      Book Synopsis
      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.

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