A decision-making differential model for social insects

作     者：Assis, R. A. Venturino, E. Ferreira, W. C., Jr. da Luz, E. F. P. 

作者机构：Univ Turin Dipartimento Matemat I-10123 Turin Italy Univ Estadual Campinas Dept Matemat Aplicada Campinas SP Brazil Inst Nacl Pesquisas Espaciais Sao Jose Dos Campos SP Brazil 

出 版 物：《INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS》 (国际计算机数学杂志)

年 卷 期：2009年第86卷第10-11期

页      面：1907-1920页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：social insects decision-making self-organization mathematical model ant algorithms ant system 

摘      要：In this work, we present a model for the phenomena of collective decision-making in social insects, using an n-dimensional system of differential equations. We perform a complete stability analysis for a special case in the model, and present numerical simulations to illustrate the behaviour of the model in the more general case. The analysis shows that up to a range of values of the parameters in the model, distinct processes of decision-making in the social insects could be modelled by the same mathematical equations. Finally, use the analysis of the mathematical model to discuss possible improvements in the performance of ant algorithms, presenting preliminary results.