超网络上Bass和易受感染模型的显式解。

IF 2.4 3区物理与天体物理 Q1 Mathematics

Physical review. E Pub Date : 2024-11-01 DOI:10.1103/PhysRevE.110.054306

Gadi Fibich, Juan G Restrepo, Guy Rothmann

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引用次数: 0

摘要

我们分析了具有三体相互作用的超网络上的Bass模型和易感感染模型。我们推导了一般超网络的主方程，并利用它们得到了无限完全超网络、无限Erdős-Rényi超网络和无限超线上的期望收养-感染水平的显式表达式。这些表达式是精确的，因为它们的推导没有做任何近似。

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Explicit solutions of the Bass and susceptible-infected models on hypernetworks.

We analyze the Bass model and the susceptible-infected model on hypernetworks with three-body interactions. We derive the master equations for general hypernetworks and use them to obtain explicit expressions for the expected adoption-infection level on infinite complete hypernetworks, infinite Erdős-Rényi hypernetworks, and on infinite hyperlines. These expressions are exact, as they are derived without making any approximation.

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来源期刊

Physical review. E 物理-物理：流体与等离子体

CiteScore

4.60

自引率

16.70%

发文量

审稿时长

3.3 months

期刊介绍： Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.