Intransigent vs. volatile opinions in a kinetic epidemic model with imitation game dynamics.

IF 0.8 4区 数学 Q4 BIOLOGY Mathematical Medicine and Biology-A Journal of the Ima Pub Date : 2023-06-14 DOI:10.1093/imammb/dqac018
Rossella Della Marca, Nadia Loy, Marco Menale
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引用次数: 6

Abstract

In the mathematical epidemiology community, there is an increasing interest in shaping the complex interplay between human behaviour and disease spreading. We give a contribution in this direction by illustrating a method to derive behavioural change epidemic models from a stochastic particle description by the means of kinetic equations. We consider a susceptible-infected-removed-like model where contact rates depend on the behavioural patterns adopted across the population. The selection of the social behaviour happens during the interactions between individuals adopting alternative strategies and it is driven by an imitation game dynamics. Agents have a double microscopic state: a discrete label, which denotes the epidemiological compartment to which they belong, and the degree of flexibility of opinion, i.e. a measure of the personal attitude to change opinion and, hence, to switch between the alternative social contact patterns. We derive kinetic evolution equations for the distribution functions of the degree of flexibility of opinion of the individuals for each compartment, whence we obtain macroscopic equations for the densities and average flexibilities of opinion. After providing the basic properties of the macroscopic model, we numerically investigate it by focusing on the impact of the flexibility of opinion on the epidemic course and on the consequent behavioural responses.

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带有模仿博弈动力学的流行病动力学模型中的不妥协与易变意见。
在数学流行病学领域,人们对塑造人类行为与疾病传播之间复杂的相互作用越来越感兴趣。我们在这个方向上做出了贡献,说明了一种方法,通过动力学方程从随机粒子描述中推导出行为变化流行病模型。我们考虑一个易感-感染-移除的模型,其中接触率取决于整个人群采用的行为模式。社会行为的选择发生在个体间采取不同策略的互动过程中,它是由模仿博弈动力学驱动的。行为主体具有双重微观状态:一个离散的标签,表示他们所属的流行病学分区,以及意见的灵活性程度,即衡量个人改变意见的态度,从而在不同的社会联系模式之间切换。我们推导了每个隔间的个体意见灵活性的分布函数的动力学演化方程,由此我们得到了密度和平均意见灵活性的宏观方程。在提供宏观模型的基本属性后,我们通过关注舆论灵活性对流行病过程和随之而来的行为反应的影响来对其进行数值研究。
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来源期刊
CiteScore
2.20
自引率
0.00%
发文量
15
审稿时长
>12 weeks
期刊介绍: Formerly the IMA Journal of Mathematics Applied in Medicine and Biology. Mathematical Medicine and Biology publishes original articles with a significant mathematical content addressing topics in medicine and biology. Papers exploiting modern developments in applied mathematics are particularly welcome. The biomedical relevance of mathematical models should be demonstrated clearly and validation by comparison against experiment is strongly encouraged. The journal welcomes contributions relevant to any area of the life sciences including: -biomechanics- biophysics- cell biology- developmental biology- ecology and the environment- epidemiology- immunology- infectious diseases- neuroscience- pharmacology- physiology- population biology
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