疱疹病毒影响下红松鼠保护的状态反馈脉冲控制研究  

Study on State Feedback Impulsive Control of Red Squirrel Protection with the Influence of Herpes Virus

作　　者：张蒙 赵艺 安迪 史明静 ZHANG Meng;ZHAO Yi;AN Di;SHI Mingjing(School of Science,Beijing University of Civil Engineering and Architecture,Beijing100044,China;Rongtong Real Estate(Beijing)Co.Ltd.,Beijing 100020,China)

机构地区：[1]北京建筑大学理学院,北京100044 [2]融通地产(北京)有限责任公司,北京100020

出　　处：《信阳师范学院学报（自然科学版）》2021年第2期173-176,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11701026)。

摘　　要：建立了一类状态反馈非线性脉冲控制模型,描述了红松鼠、灰松鼠的种间竞争与对红松鼠的人工保护措施,研究了放归人工养殖的红松鼠个体和消灭一定数量的灰松鼠个体对红松鼠种群持续生存的影响.利用后继函数方法证明了脉冲控制模型阶1周期解的存在性和稳定性.数值模拟结果验证了定理的正确性.A kind of state feedback nonlinear impulse model was established to describe the inter-specific competition between red squirrel and grey squirrel and the artificial protection of red squirrel.The effects of releasing artificial red squirrel individuals and eliminating grey individuals on the persistence of red squirrel population were studied.The existence and stability of the order-1 periodic solution of the impulsive control model was proved by using the method of successor function and Dulac function.The numerical simulation is given to verify the theoretical results.

关 键 词：红松鼠 灰松鼠 状态反馈脉冲控制 阶1周期解 后继函数 

分 类 号：O175[理学—数学]