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.
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页码：136 / 146
页数：11
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