登革热疾病(DDs)是最为严重的蚊媒疾病之一，目前尚无有效疫苗和抗病毒疗法。传统蚊媒防控易引发蚊虫抗药性和二次爆发，新型沃尔巴克细菌生物防控又很难短期内实现蚊群替代或抑制策略。结合两者优势而提出的新型蚊媒综合防控现已成为潜在研究热点，但影响控制目标快速有效实现的关键因素尚不清楚。项目将基于新型蚊媒综合防控思想，先建立具有反馈控制的蚊群非光滑混合系统，再将人群和登革病毒嵌入以建立高维微分和非光滑混合流行病模型。由于长期杀虫剂喷洒和蚊群投放可能导致蚊媒基因选择性进化，进而构建具有基因抗性发展的非光滑混合多尺度系统。解析各种控制策略实施的周期、频率、剂量等对基因进化和控制目标的影响，确定减缓基因抗性发展的关键因素，探究新型蚊媒综合防控对蚊媒和DDs短期快速与长期可持续控制的影响，设计最优组合控制策略。项目成果将丰富和发展非光滑混合系统理论研究，并为实际部门制定与实施控制策略提供重要理论依据。

Dengue diseases (DDs), one of the most serious mosquito-borne diseases, currently have no effective vaccines and antiviral therapies. Traditional mosquito control methods can easily lead to mosquito resistance and secondary outbreaks, while Wolbachia bacteria as a novel biological control method of mosquito-borne diseases is difficult to achieve the strategies of mosquito population replacement or suppression in a short period of time. The novel integrated prevention and control of mosquito vectors, which combines the advantages of the two strategies has become a potential research hotspot. However, it is still unclear about the key factors affecting the rapid and effective realization of the control target. Based on the concept of novel integrated prevention and control of mosquito vectors, this project will first establish non-smooth hybrid systems of mosquito population with feedback control, and then build high-dimensional differential and non-smooth hybrid epidemic models by embedding human population and dengue virus. Since long-term insecticide spraying and mosquito releases may lead to selective gene evolution of mosquito population, a non-smooth hybrid multi-scale system with the development of gene resistance will further be developed. This project will analyze the influence of the period, frequency and dose of various control strategies on the gene evolution of mosquito vectors and control objectives, and determine the key factors to slow down the development of gene resistance. Then it will explore the influence of the novel integrated prevention and control of mosquito vectors on the short-term rapid and long-term sustainable control of mosquito vectors and DDs, and design the optimal combination control strategy. The results of the project will enrich and develop the theoretical research of non-smooth hybrid systems, and provide some critical theoretical basis for the authorities formulating and implementing control strategies.