具非瞬时/瞬时脉冲收获与脉冲入侵的单种群动力学模型研究  

Dynamics of a Single Population Model with Non-Transient/Transient Impulsive Harvesting and Impulsive Invasion

作　　者：全琦 唐文艳[1] 焦建军[1] 汪袁 QUAN Qi;TANG Wenyan;JIAO Jianjun;WANG Yuan(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China)

机构地区：[1]贵州财经大学数学与统计学院,贵阳550025

出　　处：《重庆师范大学学报（自然科学版）》2021年第3期78-83,共6页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金(No.11761019,No.11361014);贵州省研究生教育创新计划资助项目(No.黔教合YJSCXJH(2019)065);贵州省微分-差分动力系统应用科技创新人才团队(No.20175658)。

摘　　要：【目的】建立具有非瞬时/瞬时脉冲收获与脉冲入侵的单种群模型。【方法】运用微分方程及频闪映射相关理论,得到了系统持续生存的条件。【结果】非瞬时脉冲收获率、瞬时脉冲收获率和脉冲入侵系数对系统持久起着重要的作用。【结论】为生物资源的管理提供一定的理论支持。[Purposes]To establish a single population model with non-transient/transient pulse harvesting and pulse invasion.[Methods]By the theories of impulsive differential equation and stroboscopic map,the sufficient condition for the permanence of the investigated system is obtained.[Findings]The results show that the non-transient impulsive harvesting rate,transient impulsive harvesting rate and the impulsive invasion coefficient play important roles in system permanence.[Conclusions]It can provide some theoretical basis for the biological resource management.

关 键 词：瞬时脉冲收获 非瞬时脉冲收获 脉冲入侵 持久 

分 类 号：O175[理学—数学]