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A Note on Necessary Optimality Conditions for a Model with Differential Infectivity in a Closed Population

Author

Listed:
  • Yannick Tchaptchie Kouakep

    (Departement of Mathematics, University of Ngaoundere, PO Box 454 Ndang, Ngaoundere, Cameroon
    African Institute of Mathematical Science (AIMS - Cameroon) PO Box 608, Limbe, Cameroon)

Abstract

The aim of this note is to present the necessary optimality conditions for a model (in closed population) of an immunizing disease similar to hepatitis B following. We study the impact of medical tests and controls involved in curing this kind of immunizing disease and deduced a well posed adjoint system if there exists an optimal control.

Suggested Citation

  • Yannick Tchaptchie Kouakep, 2015. "A Note on Necessary Optimality Conditions for a Model with Differential Infectivity in a Closed Population," Mathematics, MDPI, vol. 3(3), pages 1-11, August.
  • Handle: RePEc:gam:jmathe:v:3:y:2015:i:3:p:880-890:d:54550
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