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 JAMP  Vol.5 No.10 , October 2017
Mathematical Model for the Transmission Dynamics of Zika Virus Infection with Combined Vaccination and Treatment Interventions
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 < 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.
Cite this paper: 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.
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