MODELLING EPIDEMICS AND VIRUS MUTATIONS BY METHODS OF THE MATHEMATICAL KINETIC THEORY FOR ACTIVE PARTICLES

被引：47

作者：

De Lillo, S. ^{[1
,2
]}

Delitala, M. ^{[3
]}

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

机构：

[1] Univ Perugia, Dept Math, I-06123 Perugia, Italy

[2] Ist Nazl Fis Nucl, Unit Perugia, I-06123 Perugia, Italy

[3] Politecn Torino, Dept Math, I-10129 Turin, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2009年 / 19卷

关键词：

Population dynamics; active particles; living systems; kinetic theory; biology; nonlinearity; IMMUNE COMPETITION; PROGRESSION; TUMOR; CHEMOTAXIS; DYNAMICS; SYSTEMS; TOOLS; LIMIT;

D O I：

10.1142/S0218202509003838

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present study is devoted to modelling the onset and the spread of epidemics. The mathematical approach is based on the generalized kinetic theory for active particles. The modelling includes virus mutations and the role of the immune system. Moreover, the heterogeneous distribution of patients is also taken into account. The structure allows the derivation of specific models and of numerical simulations related to real systems.

引用

页码：1405 / 1425

页数：21

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