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Dynamical Features and Vaccination Strategies in an SEIR Epidemic Model

Author Affiliations

  • 1 Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, PAKISTAN
  • 2 Department of Mathematics, University of Malakand, Chakdara, Dir, Khyber Pakhtunkhwa, PAKISTAN

Res. J. Recent Sci., Volume 2, Issue (10), Pages 48-56, October,2 (2013)


An epidemic model with a vaccination program is investigated in this paper. The vaccine induced reproduction number R0(k) is determined and the impact of vaccination in reducing R0(k) is discussed. The local and global stabilities of both the disease-free and endemic equilibrium are derived. A control problem is formulated to control the disease by using an optimal control theory. Numerical simulations and optimal analysis of the model show that proper use of control measures can significantly decrease the number of infected humans.


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