@article{Huang2023, 
author = {Mingzhan Huang and Xiaohuan Yu and Shouzong Liu},
title = {Modeling and analysis of release strategies of sterile mosquitoes incorporating stage and sex structure of wild ones},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {7},
pages = {3895-3914},
keywords = {switched system, extinction equilibrium, periodic solution, stability},
url = {https://www.sciopen.com/article/10.3934/era.2023198},
doi = {10.3934/era.2023198},
abstract = {This paper proposes and studies a switched interactive model of wild and sterile mosquitoes with stage and sex structure. Sterile males are released periodically and impulsively and remain sexually active for time              T      ¯      . We investigate the dynamical behavior of the system when the release period    T is shorter than the sexual lifespan              T      ¯      , corresponding to a relatively frequent release. We first determine two important thresholds,        m    1    ∗   and        m    2    ∗  , for the release amount    m and prove the exponential asymptotic stability of the extinction equilibrium. Using fixed point theory, we establish the existence of positive periodic solutions for    0  <  m  <      m    1    ∗   and        m    1    ∗    ≤  m  <      m    2    ∗  . Furthermore, by applying the comparison theorem of monotone systems, we demonstrate that the extinction equilibrium is globally asymptotically stable when    m  ≥      m    2    ∗  . Finally, numerical examples are presented to confirm our theoretical results.}
}