谣言
图灵
鉴定(生物学)
计算机科学
不稳定性
统计
统计物理学
应用数学
数学
物理
生物
植物
公共关系
政治学
机械
程序设计语言
出处
期刊:Chaos
[American Institute of Physics]
日期:2024-05-01
卷期号:34 (5)
被引量:3
摘要
This study establishes a reaction–diffusion system to capture the dynamics of rumor propagation, considering two possibilities of contact transmission. The sufficient and necessary conditions for a positive equilibrium point are provided, and the Turing instability conditions for this equilibrium point are derived. Furthermore, utilizing variational inequalities, a first-order necessary condition for parameter identification based on optimal control is established. During the numerical simulation process, the correctness of the Turing instability conditions is verified, and optimal control-based parameter identification is applied to the target pattern. Additionally, statistical methods are employed for pattern parameter identification. The identification results demonstrate that optimal control-based parameter identification exhibits higher efficiency and accuracy. Finally, both theories’ parameter identification principles are extended to a small-world network, yielding consistent conclusions with continuous space.
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