具有收获项的时滞捕食系统的Hopf分支  

Hopf bifurcation in a delayed predator-prey system including harvesting term

作　　者：吕堂红[1] 于智博 周林华[1] LYU Tang-hong;YU Zhi-bo;ZHOU Lin-hua(School of Mathematics and Statistics,Changchun University of Science and Technology,Changchun 130022,China)

机构地区：[1]长春理工大学数学与统计学院,吉林长春130022

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)。

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.

关 键 词：时滞 捕食者-食饵模型 HOPF分支 稳定性 周期解 

分 类 号：O175.1[理学—数学]