摘要
基于常微分方程定性与稳定性理论以及分支理论,研究一类具有毒素和收获影响的竞争扩散系统在不同斑块下的扩散性质.证明了该系统在第一卦限内存在一个六面体吸引域;找到系统的一切正解是永久存在的条件;最后利用数值模拟仿真进一步验证定理的准确性,补充了前人的结果.
In this paper,the diffusion properties of a competitive diffusion system with toxin and gain under different patches is studied based on the qualitative and stability theory of differential equation and bifurcation theory. The attraction domain exists in the first quadrant is proved. The positive solutions are permanent existence which is given when the certain conditions are satisfied in the system. We find the system is more accurate than system without the simulation in the last,and the conclusion is renewed.
作者
武海辉
WU Haihui(Department of Mathematics and Statistics,Ankang University,Ankang 725000,Shaanxi China;Institute of Mathematics and Applied Mathematics,Ankang University,Ankang 725000,Shaanxi China)
出处
《河南科学》
2019年第6期869-873,共5页
Henan Science
基金
国家自然科学基金(61801005)
陕西省教育厅自然科学基金项目(17JK0015)
陕西省自然科学基础研究计划资助项目(2019JM-444)
安康学院自然科学基金项目(2017AYQN09,2018AYQN02)
关键词
竞争
毒素
收获项
稳定性
永久存在
竞争扩散系统
competition
toxicity
gain
stability
permanent existence
competitive diffusion system
