Control Strategies

  • Maia Martcheva
Part of the Texts in Applied Mathematics book series (TAM, volume 61)


This chapter studies control strategies. Control strategies are listed and explained. It focuses on modeling vaccination in single-strain and multistrain diseases. Different modes of introducing vaccination in models are shown. Imperfect vaccination as a mechanism leading to backward bifurcation and strain replacement is explained. Strain replacement with perfect vaccination is demonstrated. Quarantine and isolation are discussed and included in a model. Introduction to optimal control theory is incorporated and the theory is illustrated on a specific example with optimal control treatment. Matlab code for computing the optimal control is included.


Reproduction Number Vaccine Efficacy Vaccination Rate Optimal Control Theory Endemic Equilibrium 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Maia Martcheva
    • 1
  1. 1.Department of MathematicsUniversity of FloridaGainesvilleUSA

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