带时滞与Monod-Haldane功能性函数的分数阶阶段结构食饵-捕食模型的Hopf分岔  

Hopf Bifurcation Analysis of a Fractional-Order Stage-Structured Prey-Predator Model with Time Delay and Monod-Haldane Type Response Function

作　　者：马溧 李周红 MA Li;LI Zhouhong(The High School Affiliated to Chuxiong Normal University,Chuxiong 675000,China;School of Statistics and Mathematics,Yunnan University of Finance and Economics,Kunming 650021,China;Department of Mathematics,Yuxi Normal University,Yuxi653100,China)

机构地区：[1]楚雄师范学院附属中学,云南楚雄675000 [2]云南财经大学统计与数学学院,云南昆明650048 [3]玉溪师范学院数学与信息学院,云南玉溪653100

出　　处：《玉溪师范学院学报》2022年第3期1-10,共10页Journal of Yuxi Normal University

基　　金：云南省教育厅科学研究基金项目“时滞随机神经网络的动力学分析”(项目编号:2022Y489).

摘　　要：研究了一类具有时滞和Monod-Haldane功能性响应函数的分数阶段结构食饵-捕食模型.利用Caputo型分数阶导数定义,以时滞作为分岔参数,给出了具有单Monod-Haldane函数响应和时滞的分数阶食饵-捕食模型Hopf分岔的判据,并通过两个数值算例验证了理论结果的有效性.In this paper,a fractional-order stage-structured predator-prey model with time delays and Monod-Haldane type functional response is investigated.By using the definition of a Caputo fractional derivative and choosing time delay as the bifurcation parameter,the criteria are given to ensure the Hopf bifurcation of the fractional predator-prey model with a Monod-Haldane functional response and time delays.And two numerical examples are proposed to illustrate the effectiveness of the given theoretical results.

关 键 词：时滞 功能性函数 分数阶 HOPF分岔 食饵-捕食系统 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]