污染喀斯特环境下具瞬时与非瞬时脉冲效应的单种群动力学模型  

Dynamics of a Single Population Model with Transient/Non-Transient Impulsive Effects in a Polluted Karst Environment

作　　者：焦建军[1] 陈兰荪[2] 李利梅[3] JIAO Jianjun;CHEN Lansun;LI Limei(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550004;Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190;School of Continuing Education,Guizhou University of Finance and Economics,Guiyang 550004)

机构地区：[1]贵州财经大学数学与统计学院,贵阳550004 [2]中国科学院数学与系统科学院,北京100190 [3]贵州财经大学继续教育学院,贵阳550004

出　　处：《系统科学与数学》2020年第7期1286-1296,共11页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(11761019,11361014);贵州省高层次创新型人才项目(20164035);贵州省微分-差分动力系统应用科技创新人才团队(20175658);贵州财经大学商务部联合基金项目(2016SWBZD18);贵州省贵州省教育厅创新群体重大研究项目(黔教合KY字[2018]019)资助课题。

摘　　要：建立污染喀斯特环境下具瞬时与非瞬时脉冲效应的单种群动力学模型.利用脉冲微分方程理论,得到系统种群持续生存的控制阈值.研究结果表明瞬时脉冲收获量与非瞬时脉冲收获区间长度对于系统种群持久起着重要作用,结论为现实的生物资源管理提供了可靠的策略支持.In this paper,we construct a single population model with transient/nontransient impulsive effects in karst environments.By the theories of impulsive differential equations,we obtain the controlling thresholds of the permanence of the investigated system.The results indicate that the amount of transient impulsive harvesting and the non-transient impulsive harvesting interval play important roles in the permanence of population.Our results also provide reliable tactic basis for the practical biological resource management.

关 键 词：脉冲扩散 脉冲输入 瞬时脉冲收获 非瞬时脉冲收获区间长度 持久 

分 类 号：O175[理学—数学] Q141[理学—基础数学]