Periodic solutions and chaos in a non-linear model for the delayed cellular immune response

被引：74

作者：

Canabarro, AA ^{[1
]}

Gléria, IM ^{[1
]}

Lyra, ML ^{[1
]}

机构：

[1] Univ Fed Alagoas, Dept Fis, BR-57072970 Maceio, AL, Brazil

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2004年 / 342卷 / 1-2期

关键词：

delayed non-linear dynamics; chaos; immunologic system;

D O I：

10.1016/j.physa.2004.04.083

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We model the cellular immune response using a set of non-linear delayed differential equations. We observe that the stationary solution becomes unstable above a critical immune response time. The exponents characterizing the approach to this bifurcation point as well as the critical slow dynamics are obtained. In the periodic regime, the minimum virus load is substantially reduced with respect to the stationary solution. Further increasing the delay time, the dynamics display a series of bifurcations evolving to a chaotic regime characterized by a set of 2D portraits. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：234 / 241

页数：8

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