吉林大学学报（理学版）2025，Vol.63Issue(5)：1269-1275,7.DOI:10.13413/j.cnki.jdxblxb.2024484
具脉冲收获时滞与出生的系统切换动力学模型分析
Analysis of Switching Dynamics Models of Systems with Pulse Time-Delay Harvesting and Birth
摘要
Abstract
Firstly,we used the Jury criterion and spectral radius method to study the switching dynamics models of systems with pulse time-delay harvesting and birth,proved the asymptotic stability of the periodic solutions of the pulse systems and gave the threshold for population extinction.Secondly,we considered the continuous survival of the population and the amount of harvest,discussed the reasonable values of the harvest delay under different circumstances,and verified the theoretical results by numerical simulation.关键词
脉冲收获时滞/脉冲出生/Jury判据/谱半径/渐近稳定性Key words
pulse time-delay harvesting/pulse birth/Jury criterion/spectral radius/asymptotic stability分类
数理科学引用本文复制引用
吴淋,焦建军..具脉冲收获时滞与出生的系统切换动力学模型分析[J].吉林大学学报（理学版）,2025,63(5):1269-1275,7.基金项目
国家自然科学基金(批准号:12261018)、贵州省高等学校数学建模与数据挖掘重点实验室项目(批准号:2023013)、贵州省研究生科研基金项目(批准号:2024YJSKYJJ261)、贵州财经大学创新探索与学术新苗项目(批准号:2024XSXMA08)和贵州财经大学研究生科研项目(批准号:2024ZXSY233). （批准号:12261018）
