[PAST EVENT] Mathematics Colloquium: Yanyu Xiao, University of Miami
February 24, 2014
4pm - 5pm
Abstract: Among communicable diseases, vector-borne diseases (VBDs) have the highest morbidity and mortality rates (particularly in young and old people), and therefore, this type of disease remains one of the main threats to human beings. In this talk, I will report some of my recent results on transmission and spread dynamics of some VBDs, such as Malaria and Dengue Fever. Firstly, I will investigate the important role of the disease latencies. This is achieved by incorporating the latent delays into the well-known Ross-McDonald model. Secondly, I will derive a patch model that can help explore the joint impact of host travels and disease latencies on the disease transmission dynamics. Thirdly, I will discuss the possibility of co-persistence of multiple species (strains) of the same disease parasite (virus, microbe), both at within-host and between-host levels. Analysis to the respective models show that within a host, competition exclusion is generic, meaning that only one species (strains) can persist for long due to competition; while at the population level, it is possible that two species (strains) co-persist for long in a region. If time permits, I will also present some findings through data and statistical analysis on some other infectious diseases, such as Influenza A (H1N1).