%0 Journal Article
%T Sensitivity Analysis of Dengue Model with Saturated Incidence Rate
%A M. M. Ojo
%A B. Gbadamosi
%A Adebimpe Olukayode
%A Ogundokun R. Oluwaseun
%J Open Access Library Journal
%V 5
%N 3
%P 1-17
%@ 2333-9721
%D 2018
%I Open Access Library
%R 10.4236/oalib.1104413
%X
Dengue is a flavivirus,
transmitted to human through the bites of infected Aedes aegypti and A. albopictus mosquitoes. In this
paper, we analyze a new system of ordinary differential equations which
incorporates saturated incidence function, vector biting rate and control
measures at both the aquatic and adult stages of the vector (mosquito). The
stability of the system is analysed for the dengue-free equilibrium via the
threshold parameter (reproduction number) which was obtained using the Next
generation matrix techniques. Routh Hurwitz criterion along together with
Descartes¡¯ rule of signs change established the local asymptotically stability
of the model whenever R0£¼1and unstable
otherwise. Furthermore, the sensitivity analysis was carried out and the
numerical simulation reveals that increasing the proportion of human antibody
and putting into place a control strategy that minimize the vector biting rate
are enough to reduce the infection of the disease in the population to its
barest minimum.
%K Aedes aegypti
%K A. albopictus
%K Dengue Fever
%K Reproduction Number
%K Control Measures
%K Sensitivity Analysis
%K Aquatic Stage
%K Adult Stage
%U http://www.oalib.com/paper/5293165