岡山大学環境理工学部研究報告 ISSN 2187-6940

Published by Faculty of Environmental Science and Technology, Okayama University

<Availability>
Some items are not available because of decision by its author or publisher.

DOI : http://doi.org/10.18926/fest/11455

The qualitative properties of mathematical models for HIV infection

Iuchi Takuma 岡山大学

梶原毅岡山大学 Kaken ID publons researchmap

009_045_051.pdf 325 KB

発行日

2004-02-27

抄録

Qualitative analysis for the model of HIV infection in vivo presented by Perelson and Nelson are developed. The local stability analysis is done for the interior equilibrium, and it is shown that, for some paramter value, the interior equilibrium can be unstable and a Hopf bifurcation can occur. It is shown that the boundary equilibrium is globally asymptotically stable. Last, it is shown that this system is permanent.

キーワード

HIV

Mathematical model

Stability

Liapunov function

ISSN

1341-9099

NCID

AN10529213

NAID

120002313809

JaLCDOI

10.18926/fest/11455