水稻与水竹叶竞争系统的稳定性研究  

Study on the Stability of the Leaf Competition System Between Rice and Water Bamboo

作　　者：张乐予 王崇焕 ZHANG Leyu;WANG Chonghuan(College of Mathematics,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《太原师范学院学报（自然科学版）》2019年第1期12-14,共3页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：文章通过选取江西地区生存在同一片水稻田中的水稻和水竹叶为研究对象.在生态系统中,当两种群生存在相同环境下时,彼此间会争夺资源、养分,从而产生竞争关系.我们以此建立数学模型,在理想的情况下,对模型中的平衡点进行稳定性研究,证明此系统存在平衡点,经Matlab软件进行数值模拟,证实结果与理论分析相吻合.In this paper,rice and bamboo leaves living in the same paddy field injiangxi province were selected as research objects.In an ecosystem,when two species live in the same environment, they will compete for resources and nutrients,thus resulting in a competitive relationship. We use this to establish a mathematical model,in the ideal case,the equilibrium point in the model stability research,prove the existence of the equilibrium point of the system,numerical simulation by matlab software,confirmed that the results are consistent with the theoretical analysis.

关 键 词：V函数 种群 平衡点 稳定性 

分 类 号：O175.12[理学—数学]