摘要
通过引入偏微分方程Cauchy问题,进行了入侵物种的一维单源点扩散的模型及模型的离散化问题研究。在此基础上,对给定的入侵物种扩散系数,结合青藏铁路沿线的地理特征,采用Matlab和ArcGIS9.2软件,进行了入侵物种沿青藏铁路扩散的仿真研究,获得了从以一维到三维的仿真结果。这一理论研究结果适用于一般入侵物种扩散的仿真研究,具有广泛的应用前景和实用价值。
One dimension diffusion model of invasion species from a unique origin was studied and its discrete mathematical model was given by introducing the Cauchy problem. Based on these models, combining with the geographical feature of Qinghai-Tibet Railway, the simulation of invasion specie spreading along Qinghai-Tibet Railway was discussed by using Matlab and ArcGIS9.2 for the given diffusion coefficient, and some simulation results were obtained including from one-dimension to three-dimension. Finally, those theoretical results can be easily used in the diffusion research on other invasion species to ensure its wide applications in the future.
出处
《系统仿真学报》
CAS
CSCD
北大核心
2012年第12期2556-2561,共6页
Journal of System Simulation
基金
财政部环保公益性行业科研专项(200709017)
关键词
生物入侵
扩散模型
CAUCHY问题
扩散率
仿真
biological invasion
diffusion model
Cauchy problem
diffusion rate
simulation
作者简介
唐旭清（1963-），男，安徽望江县人，博士，副教授，研究方向为计算智能、粒度计算，生物数学建模与仿真。
