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/11515

Stability analysis of mathematical models of infectious disease

Murase, Akiko

Sasaki, Toru Kaken ID researchmap

Kajiwara, Tsuyoshi Kaken ID publons researchmap

007_017_021.pdf 228 KB

Published Date

2002-03-22

Abstract

Dynamics of infectious disease in vivo is described by coupled differential equations. Stability analysis of the complicated systems is difficult without computer calculation, while stability analysis is, in general, important to investigate qualitative behaviour of models. Liu analyzes stability of systems describing HIV dynamics in vivo with a symbolic calculation software. The same method is used for stability analysis of a mathematical model of malaria.

Keywords

mathematical model

infectious disease

dynamics in vivo

stability analysis

symbolic calculation

ISSN

1341-9099

NCID

AN10529213

NAID

120002313783

JaLCDOI

10.18926/fest/11515