@article{Hajji2024, 
author = {Miled El Hajji and Mohammed Faraj S. Aloufi and Mohammed H. Alharbi},
title = {Influence of seasonality on Zika virus transmission},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {19361-19384},
keywords = {Zika virus behavior, seasonality, global stability, uniform persistence},
url = {https://www.sciopen.com/article/10.3934/math.2024943},
doi = {10.3934/math.2024943},
abstract = {In order to study the impact of seasonality on Zika virus dynamics, we analyzed a non-autonomous mathematical model for the Zika virus (ZIKV) transmission where we considered time-dependent parameters. We proved that the system admitted a unique bounded positive solution and a global attractor set. The basic reproduction number,              R        0  , was defined using the next generation matrix method for the case of fixed environment and as the spectral radius of a linear integral operator for the case of seasonal environment. We proved that if              R        0   was smaller than the unity, then a disease-free periodic solution was globally asymptotically stable, while if              R        0   was greater than the unity, then the disease persisted. We validated the theoretical findings using several numerical examples.}
}