一类带收获和毒素项种群竞争模型的扩散性质  

A Diffusivel Behavior of a Competitive Model with Gain Items and Toxin

作　　者：武海辉 WU Haihui(Department of Mathematics and Statistics,Ankang University,Ankang 725000,China;Institute of Mathematics and Applied Mathematics,Ankang University,Ankang 725000,China)

机构地区：[1]安康学院数学与统计学院,陕西安康725000 [2]安康学院数学与应用数学研究所,陕西安康725000

出　　处：《甘肃科学学报》2022年第5期1-4,共4页Journal of Gansu Sciences

基　　金：国家自然科学基金(61801005);陕西省自然科学基础研究计划资助项目(2019JM-444)。

摘　　要：借助于常微分方程定性与稳定性理论,研究一类带毒素和收获项的竞争模型的扩散性质。当模型满足一定的条件时,模型的正平衡点是局部渐近稳定的,并给出正平衡点的某一邻域内有一个小振幅周期解的充分条件,最后利用数值仿真验证定理的准确性。A diffusivel behavior of a competitive model with gain items and toxin is studied using qualitative and stability theory of Differential Equation in this passage.The positive equilibrium of the system is gradually stable when certain conditions are satisfied in the model.Then the sufficient conditions that a spatial periodic solution of small amplitude produced in the neighborhood of a positive equilibrium are found.The results show that the model is more accurate than that without modifying factor.

关 键 词：竞争 扩散率 毒素 收获项 HOPF分支 

分 类 号：O175.12[理学—数学]