摘要
以时滞τ为分支参数,研究了一类具有时滞和Michaeles-Menten型收获项的Lesile-Gower捕食系统的动力学行为.分析了系统的正稳态性质和在正平衡点附近发生Hopf分支的条件;以时滞τ为分支参数,得到了与Hopf分支有关性质的计算公式.
The dynamic behavior of a class of Lesile Gower predator-prey system with time delay and Michaeles Menten type prey harvesting was studied with time delay as bifurcation parameter.The positive steady state properties of the system and the conditions for Hopf bifurcation near the positive equilibrium point were analyzed;Taking the time delay as the bifurcation parameter,the calculation formulas related to Hopf bifurcation were obtained.
作者
吕堂红
于智博
周林华
LYU Tang-hong;YU Zhi-bo;ZHOU Lin-hua(School of Mathematics and Statistics,Changchun University of Science and Technology,Changchun 130022,China)
出处
《吉林师范大学学报（自然科学版）》
2022年第1期78-85,共8页
Journal of Jilin Normal University:Natural Science Edition
基金
国家自然科学基金项目(11426045)
吉林省自然科学基金学科布局项目(20180101229JC)。
作者简介
第一作者:吕堂红(1979—)女,吉林省长春市人,副教授,硕士,硕士生导师,研究方向:常微分方程及泛函微分方程定性理论.
