独立非交叉传播的分数阶生物竞争网络Hopf分岔  

Hopf Bifurcation of Biological Competition Network with Independent Non-cross Propagation

作　　者：陆云翔 肖敏 陶斌斌 丁洁[1,2] 陈实 LU Yunxiang;XIAO Min;TAO Binbin;DING Jie;CHEN Shi(College of Automation,Nanjing University of Posts and Telecommunications,Nanjing 210023,China;College of Artificial Intelligence,Nanjing University of Posts and Telecommunications,Nanjing 210023,China)

机构地区：[1]南京邮电大学自动化学院,南京210023 [2]南京邮电大学人工智能学院,南京210023

出　　处：《复杂系统与复杂性科学》2022年第1期1-11,共11页Complex Systems and Complexity Science

基　　金：国家自然科学基金(62073172,61573194);江苏省自然科学基金(BK20181389);江苏省研究生科研与实践创新计划项目(SJCX20_0251)。

摘　　要：目前绝大多数生态竞争网络是由整数阶系统刻画的,针对系统行为仅受当前时刻影响的问题,提出具有独立非交叉传播特性的分数阶时滞捕食—被捕食模型。选取时滞作为分岔参数,通过分析不同阶次影响下系统特征方程根的分布,研究了该模型的稳定性和分岔问题,建立了时滞诱发的稳定性条件和Hopf分岔判据,最后通过数值仿真验证了理论结果的准确性。At present,most ecological competition networks are characterized by integer-order systems,and system behavior is only affected by the current moment.In this paper,a fractional time-delay predator-prey model with independent non-cross propagation is proposed.Time delay is selected as the bifurcation parameter.The stability and bifurcation problems of the model are studied through analyzing the distribution of the roots of the corresponding characteristic equation under the influence of different orders,and the stability conditions and Hopf bifurcation criteria induced by time delay are established.Finally,the accuracy of the theoretical results is verified by numerical simulations.

关 键 词：HOPF分岔 双时滞 疾病传播 捕食—被捕食者系统 

分 类 号：O175.12[理学—数学] O175.13[理学—基础数学]