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

共 50 条

[1] Application of symmetry and singularity analyses to mathematical models of biological systems
Maharaj, A.
Leach, P. G. L.
MATHEMATICS AND COMPUTERS IN SIMULATION, 2014, 96 : 104 - 123
[2] EVOLUTION OF MATHEMATICAL-MODELS OF EPIDEMICS
AWERBUCH, T
DISEASE IN EVOLUTION: GLOBAL CHANGES AND EMERGENCE OF INFECTIOUS DISEASES, 1994, 740 : 232 - 241
[3] On the probability of extinction in mathematical models of epidemics
Bacaer, Nicolas
COMPTES RENDUS BIOLOGIES, 2017, 340 (11-12) : 453 - 455
[4] Value of mathematical models for epidemics: the plague paradigm
Drancourt, M.
Raoult, D.
CLINICAL MICROBIOLOGY AND INFECTION, 2019, 25 (01) : 120 - 120
[5] SOME MATHEMATICAL MODELS AND APPLICATIONS USED IN EPIDEMICS
Cilli, Arzu
Ergen, Kivanc
Akat, Ercument
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2019, 37 (01): : 17 - 23
[6] Mathematical models for the analysis of hepatitis B and AIDS epidemics
Alfonseca, M
Martínez-Bravo, MT
Torrea, JL
SIMULATION, 2000, 74 (04) : 219 - 226
[7] The Use of t-norms in Mathematical Models of Epidemics
Pedro, Francielle Santo
de Barros, Laecio Carvalho
2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013), 2013,
[8] Analyses of tumor cells by mathematical models
Zdimalova, M.
Maruscakova, L.
Bucova, M.
Sova, O.
Kopani, M.
BRATISLAVA MEDICAL JOURNAL-BRATISLAVSKE LEKARSKE LISTY, 2019, 120 (09): : 650 - 657
[9] Mathematical models of spontaneous symmetry breaking - Preface
Sardanashvily, Gennadi
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2008, 5 (02) : V - XV1
[10] THE CASE FOR CHAOS IN CHILDHOOD EPIDEMICS .2. PREDICTING HISTORICAL EPIDEMICS FROM MATHEMATICAL-MODELS
TIDD, CW
OLSEN, LF
SCHAFFER, WM
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1993, 254 (1341) : 257 - 273

← 1 2 3 4 5 →