动态价格下含时滞的Logistic渔业模型的Hopf分支  

Hopf Bifurcation of Logistic System on Fishery with Time Delay Under Dynamic Price

作　　者：张桓 张悦[1] ZHANG Huan;ZHANG Yue(College of Science,Northeastern University,Shenyang 110819,China)

机构地区：[1]东北大学理学院,沈阳110819

出　　处：《重庆理工大学学报（自然科学）》2021年第10期273-278,共6页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金项目(61703083,61673100)。

摘　　要：基于市场价格与渔获量受时滞影响,建立了新型动态价格下具有双时滞的Logistic渔业模型,分析模型正平衡点稳定性,在4种不同时滞相互作用的影响下,讨论了系统Hopf分支的存在性,进而分析了渔业种群与市场价格在时滞作用下的波动状态。最后针对模型进行数值模拟,验证了理论结果的正确性。Based on the fact that market price and catch are affected by time delay,a new Logistic fishery model with double delays under dynamic price is established.The stability of positive equilibrium point of the model is analyzed.Under the influence of four different time delay interactions,the existence of Hopf bifurcation of the system is discussed.The fluctuation state of fishery population and market price under the action of time delay is also analyzed.Finally,numerical simulation is carried out to verify the theoretical results.

关 键 词：LOGISTIC模型 稳定性 需求函数 时滞 HOPF分支 

分 类 号：O180.11[理学—数学]