TITLE:
Mathematical Model for the Transmission Dynamics of Zika Virus Infection with Combined Vaccination and Treatment Interventions
AUTHORS:
Sulaiman Usman, Ibrahim Isa Adamu, Huzaifa Aliyu Babando
KEYWORDS:
Zika Virus Infection, Flavivirus, Compartment, Asymptomatic, Basic Reproduction Number, Local Asymptotic Stability
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.10,
October
24,
2017
ABSTRACT: In this paper, we studied the transmission dynamics of ZIKV in the presence of a vector under the combined effects of treatment and vaccination in a hypothetical population. The disease-free εo and endemic ε1 equilibria were established with local stability on εo. We established the basic reproduction number Ro which served as a threshold for measuring the spread of the infection in the population using the next-generation matrix and computed its numerical value to be Ro = 0.0185903201 using the parameter values. It was established that the disease-free equilibrium εo is locally asymptotically stable since Ro