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Stability analysis of swarming model with time delays
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2021-04-23 , DOI: 10.1186/s13662-021-03379-9
Adsadang Himakalasa , Suttida Wongkaew

A swarming model is a model that describes the behavior of the social aggregation of a large group of animals or the community of humans. In this work, the swarming model that includes the short-range repulsion and long-range attraction with the presence of time delay is investigated. Moreover, the convergence to a consensus representing dispersion and cohesion properties is proved by using the Lyapunov functional approach. Finally, numerical results are provided to demonstrate the effect of time delay on the motion of the group of agents.



中文翻译:

时滞群体模型的稳定性分析

群体模型是描述大型动物或人类社区的社会聚集行为的模型。在这项工作中,研究了包含短时排斥和长时吸引并具有时间延迟的群体模型。此外,通过使用Lyapunov函数方法证明了收敛到代表分散性和内聚性的共识。最后,提供了数值结果来证明时间延迟对代理组运动的影响。

更新日期:2021-04-23
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