基于资源有限的反捕食生态模型的分支分析  

Bifurcation Analysis of an Anti-predator Ecological Model Under Limited Resources

作　　者：陈帅 覃文杰 CHEN Shuai;QIN Wenjie(School of Mathematics and Computer Science,Yunnan University for Nationalities,Kunming 650504,China)

机构地区：[1]云南民族大学数学与计算机科学学院,云南昆明650504

出　　处：《佳木斯大学学报（自然科学版）》2024年第5期172-175,180,共5页Journal of Jiamusi University：Natural Science Edition

基　　金：国家自然科学基金(12261104,12361104);云南省兴滇人才支持计划青年人才项目(XDYC-QNRC-2022-0708);云南省基础研究计划项目(202401AT070036,202301AT070016)。

摘　　要：农业害虫的爆发往往都伴随着控制资源的有限,借助Hill函数来刻画有限的农业资源,在此基础上发展了一类具有反捕食行为的害虫-天敌治理模型。首先研究了系统害虫灭绝周期解的存在性和全局稳定性。同时从数值上研究了系统的分支现象,研究发现:有限的资源可导致系统的动力学行为变得极为复杂,这给害虫治理带来了极大的挑战。The outbreak of agricultural pests is frequently associated with limited control resources.The Hill function is utilized to describe the limited resources.Based on this,a class of pest and natural enemy model has been developed,incorporating the anti-predator behavior of pests.We first research the existence and global stability of the pest eradication periodic solutions.Meanwhile,numerical investigations are carried out to explore the bifurcation.The research demonstrates that the scarcity of resources can result in highly intricate dynamic behavior within the system,presenting significant challenges to pest control.

关 键 词：资源有限 反捕食行为 非线性脉冲 分支现象 动力学行为 

分 类 号：O175[理学—数学]