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

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

The qualitative properties of mathematical models for HIV infection

Iuchi Takuma

Kajiwara, Tsuyoshi Kaken ID publons researchmap

009_045_051.pdf 325 KB

Abstract

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.

Keywords

HIV

Mathematical model

Stability

Liapunov function

ISSN

1341-9099

NCID

AN10529213

NAID

120002313809