Singularity and symmetry analyses of mathematical models of epidemics

被引：0

作者：

Nucci, M. C. ^{[1
]}

Leach, P. G. L. ^{[1
,2
]}

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

[2] Univ KwaZulu Natal, Sch Math Sci, ZA-4000 Durban, South Africa

来源：

SOUTH AFRICAN JOURNAL OF SCIENCE | 2009年 / 105卷 / 3-4期

关键词：

epidemiology; symmetry analysis; singularity analysis; mathematical modelling; ORDINARY DIFFERENTIAL-EQUATIONS; LINEAR EVOLUTION-EQUATIONS; LIE POINT SYMMETRIES; NONLOCAL SYMMETRIES; PAINLEVE PROPERTY; 1ST INTEGRALS; P-TYPE; REDUCTION; CONNECTION; ORDER;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We present a summary of the methods of Lie symmetry and Painleve singularity analyses and apply them to a number of well-known epidemiological models to demonstrate the utility of these analyses in the analysis of dynamical systems which arise during investigations of the evolution of diseases.

引用

页码：136 / 146

页数：11

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