The Stability Analysis of Poisonous Weeds′Invasion Model Based on the Competition of Water Resources
SHI Lei
LIU Hua
JIANG Rui
WEI Yumei
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.
Keywords：invasionstabilitycellular automata
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 365-370 )