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Rodrigues, H.S., Monteiro, M.T.T. and Torres, D.F.M. (2012) Modeling and Optimal Control Applied to a Vector Borne Disease. International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE, 2012, 1063-1070.

has been cited by the following article:

• TITLE: Temporal Model for Dengue Disease with Treatment

  AUTHORS: Laurencia Ndelamo Massawe, Estomih S. Massawe, Oluwole D. Makinde

  KEYWORDS: Dengue Fever Disease, Treatment of Dengue Fever Disease, Equilibrium Stability, Reproduction Number, Sensitivity Index

  JOURNAL NAME: Advances in Infectious Diseases, Vol.5 No.1, February 25, 2015

  ABSTRACT: This paper examines the effect of treatment of Dengue fever disease. A non linear mathematical model for the problem is proposed and analysed quantitatively using the stability theory of the differential equations. The results show that the disease-free equilibrium point is locally andglobally asymptotically stable if the reproduction number (R0) is less than unity. The additive compound matrices approach is used to show that the dengue fever model’s endemic equilibrium point is locally asymptotically stable when trace, determinant and determinant of second additive compound matrix of the Jacobian matrix are all negative. However, treatment will have a control of dengue fever disease. Numerical simulation of the model is implemented to investigate the sensitivity of certain key parameters on the dengue fever disease with treatment.