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

S. DE LILLO; M. DELITALA; M. C. SALVATORI

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

机译：活动粒子数学动力学理论方法模拟流行病和病毒突变

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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 specic models and of numerical simulations related to real systems.

机译：本研究致力于模拟流行病的发作和扩散。数学方法基于活性粒子的广义动力学理论。该模型包括病毒突变和免疫系统的作用。此外，还考虑了患者的异质分布。该结构允许推导特定模型和与实际系统相关的数值模拟。

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《Mathematical models and methods in applied sciences》 |2009年第suppla期|共21页
作者
S. DE LILLO; M. DELITALA; M. C. SALVATORI;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Population dynamics; active particles; living systems; kinetic theory; biology; nonlinearity;

机译：种群动力学;活性粒子;生命系统;动力学理论;生物学;非线性;

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专利

1. MODELLING EPIDEMICS AND VIRUS MUTATIONS BY METHODS OF THE MATHEMATICAL KINETIC THEORY FOR ACTIVE PARTICLES [J] . S. DE LILLO, M. DELITALA, M. C. SALVATORI Mathematical models and methods in applied sciences . 2009,第Suppla期

机译：活动粒子数学动力学理论方法模拟流行病和病毒突变
2. Kinetic models - mathematical models of everything? Comment on "Collective learning modeling based on the kinetic theory of active particles" by D. Burini et al. [J] . Banasiak J. Physics of life reviews . 2016,第Null期

机译：动力学模型-一切的数学模型？ D. Burini等人评论“基于活性粒子动力学理论的集体学习建模”。
3. The (kinetic) theory of active particles applied to learning dynamics Comment on "Collective learning modeling based on the kinetic theory of active particles" by D. Burini et al. [J] . Nieto J. Physics of life reviews . 2016,第Null期

机译：活性粒子的（动力学）理论应用于学习动力学评论D. Burini等人的“基于活性粒子动力学理论的集体学习建模”。
4. Optimal control of influenza epidemic model with virus mutations [C] . Elena Gubar, Zhu Quanyan European Control Conference . 2013

机译：具有病毒突变的流感流行模型的最优控制
5. From virus populations to epidemics: Five mathematical models of disease. [D] . Callaway, Duncan Stewart. 2001

机译：从病毒种群到流行病：疾病的五个数学模型。
6. Development of a Simple Kinetic Mathematical Model of Aggregation of Particles or Clustering of Receptors [O] . Andrei K. Garzon Dasgupta, Alexey A. Martyanov, Aleksandra A. Filkova, 2020

机译：粒子聚集或受体聚集的简单动力学数学模型的建立
7. From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models [O] . Bellomo, Nicola, Bellouquid, A., Soler, J. 2009

机译：从活性粒子的数学动力学理论推导双曲线宏观组织模型
8. Quantitative Quasispecies Theory-Based Model of Virus Escape Mutation Under Immune Selection. [R] . Woo, H., Reifman, J. 2012

机译：免疫选择下基于定量准种理论的病毒逃逸突变模型。

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

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