Infectious disease modeling : a hybrid system approach

• 作者： Liu, Xinzhi, author.
• 其他作者：
  • Stechlinski, Peter, author.
  • SpringerLink (Online service)
• 其他題名：
  • Nonlinear systems and complexity ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Nonlinear systems and complexity,volume 19
• 主題： Communicable diseases--Mathematical models. , Communicable diseases--Epidemiology. , Mathematics. , Mathematical Modeling and Industrial Mathematics. , Infectious Diseases. , Complexity. , Applications of Nonlinear Dynamics and Chaos Theory. , Epidemiology.
• ISBN： 9783319532080 (electronic bk.) 、 9783319532066 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Introduction -- Modelling the Spread of an Infectious Disease -- Hybrid Epidemic Models -- Control Strategies for Eradication -- Discussions and Conclusions -- References -- Appendix.
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• 摘要註: This volume presents infectious diseases modeled mathematically, taking seasonality and changes in population behavior into account, using a switched and hybrid systems framework. The scope of coverage includes background on mathematical epidemiology, including classical formulations and results; a motivation for seasonal effects and changes in population behavior, an investigation into term-time forced epidemic models with switching parameters, and a detailed account of several different control strategies. The main goal is to study these models theoretically and to establish conditions under which eradication or persistence of the disease is guaranteed. In doing so, the long-term behavior of the models is determined through mathematical techniques from switched systems theory. Numerical simulations are also given to augment and illustrate the theoretical results and to help study the efficacy of the control schemes.
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