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.