食饵具有θ-Logistic增长和扩散的捕食-食饵模型的动力学分析OA
Dynamics Analysis of the Predator-prey Patch Model with θ-Logistic Growth and Dispersal of the Prey
研究一类食饵具有 θ-Logistic 增长和扩散的捕食-食饵斑块模型.利用线性稳定性分析法探讨了模型平衡点的存在性和稳定性的条件,讨论了食饵的密度依赖参数 θ 和食饵的扩散对正平衡点处种群密度的影响,并利用数值模拟进一步验证理论分析的正确性.
A class of predator-prey population patch model with θ-Logistic growth and dispersal is studied.By using the linearization stability analysis method,the existence and local stability of the equilibria of the model are discussed.The influence of the density-dependent parameter θ and the dispersal of the prey on the density of population at the positive equilibrium are explored.Numerical simulation is further demonstrated the feasibility of our theoretical conclusions.
游雪娇;买阿丽
山西师范大学数学与计算机科学学院,山西 太原 030031运城学院数学与信息技术学院,山西 运城 044000
数理科学
捕食-食饵种群模型稳定性扩散斑块
predator-prey population modelstabilitydispersalpatch
《北华大学学报（自然科学版）》 2026 (2)
180-185,6
国家自然科学基金项目(12101547)山西省留学人员科技活动项目择优资助重点项目(20240035).
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