Mathematical Analysis for a Zika Virus Dynamics in a Seasonal Environment

Abstract

We propose a mathematical model for the Zika virus (ZIKV) spread under the influence of a seasonal environment. The basic reproduction number R0 was calculated for both cases, the fixed and seasonal environment permitting the characterisation of the extinction and the persistence of the disease for both cases. We proved that the virus-free steady state is globally asymptotically stable if R0≤1, while the disease will be persist if R0>1. Finally, extensive numerical simulations are given to confirm the theoretical findings.