Display Abstract

Title The nested method and immuno-epidemiological models

Name Xue-Zhi Li
Country Peoples Rep of China
Email xzli66@126.com
Co-Author(s) Maia Martcheva (University of Florida, USA)
Submit Time 2014-01-27 10:50:26
Session
Special Session 46: Qualitative theory of differential equations and applications
Contents
The results in the field of Mathematical modeling and researches in within-host virus infection systems (micro) and diseases transmission systems among hosts (Macro) are very plentiful. Since it has very closed relations between the virus munber within a host and the ability of disease transmission of this host, it is of great significance and realistic meaning to formulate and to investigate coupled systems between immunological and epidemiological systems to reveal the mechanism of disease transmission. In this talk, what is the nested method and how to use this mehtod to formulate the immuno-epidemiological models, are introduced. A two-strain immuno-epidemiological model of HIV with superinfection is formulated. The dynamical behavior of this model is analyized. How the with-host parameters affect the HIV transmission are also investigated by numerical simulations.