地球環境科学研究科 植物生態学セミナー   2009-06-30 (Tue) 10:30
(場所: A804 )

Bifurcation analysis of immune response model on HIV disease

Yuma Sakai

In my study, I analyzed bifurcation diagram of Nowak-Bangham model. The goal of the study is to complete bifurcation diagram of the number of cells using basic reproductive number (R) as a bifurcation parameter. Based on result of some numerical simulations, I discuss on how viruses and infected cells increase in vivo, and function of immune response. The results are (1) local stability of two equilibria among three equilibria is analyzed by Routh-Hurwitz’s criterion. (2) local stability of the other equilibrium is analyzed by numerical simulation based on parameters used in Liu’s paper (1997). (3)when R is small, the increase of infected cells is regulated because of CTL response. On the other hand, when R is large, the competition between infected cells and CTL occurs and human body is damaged seriously.

I plan to make a model of plant disease.So, I intend to study such as plant pathorogy and conservation ecology.


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