College of Mathematics and Information Sciences, Center for Applied Mathematics, Guangzhou University, Guangzhou, 510006, China.
J Math Biol. 2023 Mar 6;86(4):51. doi: 10.1007/s00285-023-01888-7.
Releasing Wolbachia-infected male mosquitoes to suppress wild female mosquitoes through cytoplasmic incompatibility has shown great promise in controlling and preventing mosquito-borne diseases. To make the release logistically and economically feasible, we propose a saturated release strategy, which is only implemented during the epidemic season of mosquito-borne diseases. Under this assumption, the model becomes a seasonally switching ordinary differential equation model. The seasonal switch brings rich dynamics, including the existence of a unique periodic solution or exactly two periodic solutions, which are proved by using the qualitative property of the Poincaré map. Sufficient conditions are also obtained for determining the stability of the periodic solutions.
释放携带沃尔巴克氏体的雄性蚊子，通过细胞质不相容性来抑制野生雌性蚊子，这在控制和预防蚊媒疾病方面显示出巨大的前景。为了使释放在后勤和经济上可行，我们提出了一种饱和释放策略，该策略仅在蚊媒疾病的流行季节实施。在这种假设下，模型变成了一个季节性切换的常微分方程模型。季节性切换带来了丰富的动力学，包括存在唯一的周期解或恰好两个周期解，这通过使用 Poincaré 映射的定性性质来证明。还获得了确定周期解稳定性的充分条件。
