主讲人:蔡礼明 信阳师范学院教授
时间:2020年11月6日10:00
地点:腾讯会议 422 305 100
举办单位:数理学院
主讲人介绍:蔡礼明,博士、信阳师范学院教授,硕士生导师。河南省教育厅学术技术带头人,国家自然科学基金通讯评审专家、中国生物数学会理事、河南省运筹学会常务理事,中国科学院数学与系统科学研究院博士后研究出站。主要从事种群动力学、传染病动力学的数学建模与研究。近年来,在国际学术期刊上发表学术论文40余篇,主持国家自然科学基金面上项目2项;先后主持完成国家自然科学基金项目、中国博士后基金等项目。
内容和介绍:Vector-borne diseases are infectious diseases caused by pathogens and parasites in human populations that are transmitted to people by blood-sucking arthropods, such as mosquitoes, ticks and fleas. They include some of the world’s most destructive diseases, for instance, malaria, and dengue fever. According to WHO, vector-borne diseases account for more than17% of all infectious diseases, causing more than 1 million deaths annually. In this talk, by adopting the nested approach, a vector host structured model coupling the within-host dynamics with the between mosquito-human dynamics has been first formulated. The existence and stability of the equilibrium of the coupled models are analyzed. The impact of within-host malaria dynamics on malaria transmission in population-level is explored. Based on facts that the acquired immunity characteristics of malaria within host individuals, a size-structured malaria model with immune response of the host is also formulated. The existence and stability of equilibrium in the system and the effect of the immunity status on malaria transmission dynamics are investigated, respectively.