Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou, People's Republic of China.
College of Mathematics and Information Sciences, Guangzhou University, Guangzhou, People's Republic of China.
J Biol Dyn. 2023 Dec;17(1):2249024. doi: 10.1080/17513758.2023.2249024.
Dengue fever creates more than 390 million cases worldwide yearly. The most effective way to deal with this mosquito-borne disease is to control the vectors. In this work we consider two weapons, the endosymbiotic bacteria and predators of mosquito larvae, for combating the disease. As -infected mosquitoes are less able to transmit dengue virus, releasing infected mosquitoes to invade wild mosquito populations helps to reduce dengue transmission. Besides this measure, the introduction of predators of mosquito larvae can control mosquito population. To evaluate the impact of the predators on spreading dynamics, we develop a stage-structured five-dimensional model, which links the predator-prey dynamics with the spreading. By comparatively analysing the dynamics of the models without and with predators, we observe that the introduction of the predators augments the number of coexistence equilibria and impedes spreading. Some numerical simulations are presented to support and expand our theoretical results.
登革热每年在全球造成超过 3.9 亿例病例。应对这种由蚊子传播的疾病最有效的方法是控制病媒。在这项工作中，我们考虑了两种武器，即内共生细菌和蚊子幼虫的捕食者，用于对抗这种疾病。由于感染的蚊子传播登革热病毒的能力降低，因此释放感染的蚊子入侵野生蚊子种群有助于减少登革热的传播。除了这一措施外，引入蚊子幼虫的捕食者可以控制蚊子的数量。为了评估捕食者对传播动态的影响，我们开发了一个具有五个维度的阶段结构模型，将捕食者-猎物动态与传播联系起来。通过比较分析没有和有捕食者的模型的动态，我们观察到引入捕食者增加了共存平衡点的数量，并阻碍了传播。还呈现了一些数值模拟结果来支持和扩展我们的理论结果。
