张秋梅,女,1980年11月,副教授,理学博士,长春大学应用统计专业硕士研究生导师。
2003年7月于东北师范大学数学与统计学院获理学学士学位,2007年7月获东北师范大学数学与统计学院理学硕士学位,2016年7月获东北师范大学数学与统计学院理学博士学位。2016年9月进入吉林大学数学博士后流动站,合作导师韩月才教授,2021年9月出站。2019年12月至2020年3月参加长白山青年骨干教师赴美国密歇根州立大学研修项目。
自2005年起,师从东北师范大学数学系蒋达清教授从事常微分方程和泛函微分方程定性理论方面的工作,研究内容为常微分方程边值问题、泛函微分方程边值问题等国际前沿问题;2012年以后从事随机微分方程的研究,研究内容为随机生态流行病模型的渐近行为、平稳分布和遍历性,随机非自治Lotka-Volterra模型的周期解,Levy噪声下的随机种群模型的渐近行为等。博士毕业论文获得2017年吉林省优秀博士学位论文。近年来共发表学术论文20余篇,其中以第一作者在Nonlinear Analysis: Hybrid Systems、Applied Mathematics and Computatio、J. Math. Anal. Appl、Discrete and Continuous Dynamical Systems Series B和Journal of Mathematical Chemistry等期刊发表SCI论文10余篇,主持国家自然科学基金、中国博士后科学基金、吉林省教育厅项目,获吉林省自然科学学术成果奖三等奖一项。
研究方向
大数据分析:研究生态、金融、教育等领域的数据处理、建模及分析
随机微分方程及应用:研究随机微分方程的动力学行为
联系方式
电子邮件:zhangqm1110@163.com
联系地址:长春市卫星路6543号,长春大学理学院,邮编130022
科研成果
学术论文:
(1) Zhang, Qiumei; Jiang, Daqing; Dynamics of stochastic predator-prey systems with continuous time delay, Chaos Solitons & Fractals, 2021, 152:111431.
(2) Zhang, Qiumei; Jiang, Daqing; Analysis of autonomous Lotka-Volterrasystems by Levy noise, Journal of Applied Analysis and Computation, 2021, 11:176-191.
(3) Zhongwei Cao; Qiumei Zhang; Yanan Zhao; The principle of competitive exclusion about a stochastic Lotka-Volterra model with two predators competing for one prey , Discrete Dynamics in Nature and Society,2018, 2018:7312581.
(4) Qiumei Zhang; Daqing Jiang;Yanan Zhao; Donal O’Regan;Asymptotic behavior of a stochastic population model with Allee effect by Lévy jumps, Nonlinear Analysis: Hybrid Systems, 2017, 24: 1-12.
(5) Daqing Jiang; Qiumei Zhang; Tasawar Hayat; Ahmed Alsaedi; Periodicsolution for a stochastic non-autonomous competitive Lotka–Volterra model in apolluted environment, Physica A: Statistical Mechanics and its Applications,2017, 471: 276-287.
(6) Qiumei Zhang; Daqing Jiang; Competitive exclusion in a stochastic chemostat model with Holling type II functional response, J Math Chem, 2016,54(3): 777-791.
(7) Qiumei Zhang; Daqing Jiang; Zhenwen Liu; Donal O’Regan;Asymptotic behavior of a three species eco-epidemiological model perturbed bywhite noise, J.Math.Anal.Appl., 2016, 433(1): 121-148.
(8) Qiumei Zhang; Xiangdan Wen; Daqing Jiang; Zhenwen Liu; The stability of a predator-prey system with linear mass-action functional response perturbed by white noise, Adv Differ Equ, 2016, 2016: 54-54.
(9) Qiumei Zhang; Daqing Jiang; The coexistence of a stochastic Lotka–Volterra model with two predators competing for one prey, Applied Mathematicsand Computation, 2015, 269: 288-300.
(10) Yanan Zhao; Qiumei Zhang; Daqing Jiang;The asymptotic behavior of a stochastic SIS epidemic model with vaccination, Advances in Difference Equations, 2015, 2015: 328-328.
(11) Qiumei Zhang; Daqing Jiang; Li Zu;The stability of a perturbed eco-epidemiological model with Holling type II functional response by white noise, Discrete and Continuous Dynamical Systems Series B, 2015, 20(1): 295-321.
(12) Qiumei Zhang; Daqing Jiang; Zhenwen Liu; Donal O’Regan;The long time behavior of a predator-prey model with disease in the prey by stochastic perturbation, Applied Mathematics and Computation, 2014, 245: 305-320.
(13) Qiumei Zhang; Daqing Jiang; Multiple solutions to semipositone Dirichlet boundary value problems with singular dependent nonlinearities for second order three-point differential equations,Computers and Mathematics with Applications, 2010, 59(8): 2516-2527.
(14) Qiumei Zhang; Daqing Jiang; Shiyou Weng; Haiyin Gao;Upper and lower solutions for a second-order three-point singular boundary-value problem,Electron. J. Diff. Equ., 2009, 2009(115): 1-11.
(15) Qiumei Zhang; Daqing Jiang; Upper and lower solutions method anda second order three-point singular boundary value problem, Computers and Mathematics with Applications, 2008, 56(4): 1059-1070.
荣誉称号及科研获奖:
1.噪声影响下的随机生物模型动力学行为,吉林省学位委员会,吉林省优秀博士学位论文,2017
2.食饵有病的随机生态流行病模型的渐近行为,吉林省科协,吉林省自然科学学术成果奖,三等奖,2015
科研项目:
1.“随机恒化器模型的动力学行为”,国家自然科学基金青年科学基金项目,25万,2019.1-2021.12,批准号:11801040,主持
2.“食饵有病的随机生态流行病系统的动力学分析”,中国博士后科学基金项目,5万,2018.6-2019.12,批准号:2018M631861,主持
3.“随机生态流行病系统的动力学分析”,吉林省教育厅项目,2.5万,2021.1-2022.12,批准号:JJKH20210607KJ,主持
4.“噪声影响下具有不确定因素的种群动力学模型研究”,吉林省教育厅项目,3万,2017.1-2018.12,批准号:JJKH20170487KJ,主持
5.“噪声影响下的随机生态流行病系统的动力学分析”,长春大学青年教师培育项目,3万,2018.4-2020.3,批准号:ZK201808,主持