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Download E-books Infectious Disease Modeling: A Hybrid System Approach (Nonlinear Systems and Complexity) PDF

By Xinzhi Liu, Peter Stechlinski

This quantity offers infectious illnesses modeled mathematically, taking seasonality and alterations in inhabitants habit under consideration, utilizing a switched and hybrid structures framework. The scope of insurance comprises historical past on mathematical epidemiology, together with classical formulations and effects; a motivation for seasonal results and alterations in inhabitants habit, an research into term-time compelled epidemic versions with switching parameters, and a close account of numerous varied keep watch over concepts. the most target is to check those types theoretically and to set up stipulations below which eradication or endurance of the sickness is assured. In doing so, the long term habit of the versions is set via mathematical ideas from switched platforms thought. Numerical simulations also are given to reinforce and illustrate the theoretical effects and to aid examine the efficacy of the keep an eye on schemes.

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