应用数学2026，Vol.39Issue(3)：743-749,7.
具有θ-Logistic增长的捕食种群模型的动力学研究
Dynamics of a Predator-Prey Population Model withθ-Logistic Growth
摘要
Abstract
In this paper,we consider a class of predator-prey model with Holling-Ⅱ functional response and θ-Logistic growth.Firstly,the positivity and uniform boundedness of solutions are proved.Secondly,the existence and stability conditions of the equilibrium point are analyzed.It is shown that a transcritical bifurcation occurs at the boundary equilibrium.The conditions of the existence of Hopf bifurcation at the positive equilibrium are obtained with θ as the bifurcation parameter.Finally,the influence of θ on population density is discussed.Numerical simulation further verify the feasibility of our conclusions.关键词
θ-Logistic/捕食者-食饵模型/Holling-Ⅱ功能反应/稳定性/Hopf分支Key words
θ-Logistic/Predator-prey model/Holling-Ⅱ functional response/Stability/Hopf bifur-cation分类
数理科学引用本文复制引用
游雪娇,买阿丽..具有θ-Logistic增长的捕食种群模型的动力学研究[J].应用数学,2026,39(3):743-749,7.基金项目
国家自然科学基金(12101547 （）
12071418) （）
运城学院大学生创新训练计划项目(DC2025077) （DC2025077）
