Author(s)

Sulaiman Usman, Ibrahim Isa Adamu, Huzaifa Aliyu Babando

Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria.

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 ε_o and endemic ε₁ equilibria were established with local stability on ε_o. We established the basic reproduction number R_o 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 R_o = 0.0185903201 using the parameter values. It was established that the disease-free equilibrium ε_o is locally asymptotically stable since R_o < 1; meaning ZIKV infection would be eradicated from the population. The computational results of the study revealed that combining the two interventions of vaccination and treatment concomitantly proffers an optimal control strategy in taming the transmission of the virus than a single intervention strategy.

Zika Virus Infection, Flavivirus, Compartment, Asymptomatic, Basic Reproduction Number, Local Asymptotic Stability

Usman, S. , Isa Adamu, I. and Babando, H. (2017) Mathematical Model for the Transmission Dynamics of Zika Virus Infection with Combined Vaccination and Treatment Interventions. Journal of Applied Mathematics and Physics, 5, 1964-1978. doi: 10.4236/jamp.2017.510166.