新多种群反应扩散竞争系统渐进波波速预估算法  

Design of new asymptotic wave velocity prediction method for multi-population reaction-diffusion competitive system

作　　者：杨志强 赵爱民[1] YANG Zhiqiang;ZHAO Aimin(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院

出　　处：《西安工程大学学报》2019年第3期314-319,共6页Journal of Xi’an Polytechnic University

基　　金：山西省软科学研究计划项目(2017041649)

摘　　要：传统渐进波波速预估方法缺少对多种群反应扩散竞争中积分算子的分析,导致预估精准度较低。设计了新的多种群反应扩散竞争系统渐进波波速预估算法,根据多种群反应扩散竞争系统工作原理,利用积分算子分析种群在不同时刻的密度,通过非局部算子主谱理论分析多种群竞争系统动力学行为,确定渐进波波速存在的特性并建立预估机制,依据信息处理流程对渐进波波速进行预估。实验结果表明,该预估算法比传统算法预估的精准度高,能为系统渐近展开式一致性研究提供依据。The traditional progressive wave velocity prediction method lacks the analysis of the integral operator in the multi-group reaction diffusion competition,resulting in low estimation accuracy.In this paper,a new progressive wave velocity prediction algorithm for multi-group reaction-diffusion competition system is designed.According to the working principle of multi-group reaction diffusion competition system,the integral operator is used to analyze the density of the population at different times.The non-local operator principal spectrum theory is used to analyze the dynamic behavior of multi-group competition systems,and the existence characteristics of the progressive wave velocity are determined and the estimation is established,and the progressive wave velocity is estimated according to the information processing flow.The experimental results show that the proposed algorithm is more accurate than the traditional algorithm,and can provide a basis for the system asymptotic expansion consistency research.

关 键 词：多种群 反应扩散竞争系统 渐进波 波速 积分算子 

分 类 号：O175.29[理学—数学]