湖北民族学院学报（自然科学版）2016，Vol.34Issue(4)：365-370,6.DOI:10.13501/j.cnki.42-1569/n.2016.12.002
基于水资源竞争的毒杂草入侵扩散模型稳定性分析
The Stability Analysis of Poisonous Weeds′Invasion Model Based on the Competition of Water Resources
摘要
Abstract
This paper takes the competitive environment as the background of plants for water in arid re-gions.Considering the range of root system distribution,we can build the water metabolic warehouse,then build the inter-species competition model of poisonous weeds,and edible grass based on competition of water resources.At the same time,to join the invasion of diffusion,we build the diffusion model of poison-ous weeds′invasion based on water resources competition,and then analyse its stability by using the sta-bility theory of the ordinary differeatial equations. Research shows that under the influence of the invasion and diffusion,the coexistence equilibrium points of the poisonous weeds and the edible grass could be in-creased to two,which increased the possibility of coexistence.关键词
入侵/稳定性/元胞自动机Key words
invasion/stability/cellular automata分类
数理科学引用本文复制引用
石磊,刘华,蒋芮,魏玉梅..基于水资源竞争的毒杂草入侵扩散模型稳定性分析[J].湖北民族学院学报（自然科学版）,2016,34(4):365-370,6.基金项目
国家自然科学基金项目(31260098)；国家民委中青年英才计划项目(〔2014〕121号)；西北民族大学研究生科研创新项目( Yxm2016124)；2013年西北民族大学创新团队资助项目 （31260098）
