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/11481

A permanence theorem for a mathematical model for dynamics of pathogens and cells in vivo using elementary methods

Kajiwara, Tsuyoshi Kaken ID publons researchmap

Sasaki, Toru Kaken ID researchmap

010_009_011.pdf 165 KB

Published Date

2005-02-28

Abstract

An elementary proof of permanence for a simple mathematical model proposed by Nowak and Bangham. In many papers, permanence property is proved by theorems established by the general theory of dynamical system. In this paper, we present an elementary proof only using differential inequalities and the theory of linear differential equations with constant coefficients.

Keywords

Permanence

dynamical system

pathogen

ISSN

1341-9099

NCID

AN10529213

NAID

120002313596

JaLCDOI

10.18926/fest/11481