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研究方向
1. 随机微分方程,探讨由随机微分方程表示的随机生物数学模型和传染病模型
2. 生物数学
学习与工作经历
1984.9-1988.7,吉林大学,数学系, 数理统计专业理学学士;
1988.9-1991.7,吉林大学,数学系,偏微分方程专业理学硕士;
2003.9-2006.7,东北师范大学, 数学与统计学院,概率论与数理统计专业理学博士;
1991.9-1994.6.,东北师范大学,数学与统计学院,助教;
1994.7-1998.12,东北师范大学,数学与统计学院,讲师;
1998.12-2000.9,东北师范大学,数学与统计学院,副教授;
2000.9-2014.2,东北师范大学,数学与统计学院,教授;
2014.3至今,中国石油大学(华东),数据科学与统计系,教授。
主讲课程
1.主讲本科生必修课。《常微分方程》等课程
2.主讲研究生《随机微分方程》《高等概率论》等课程
承担和参与项目
1.近年来,主持的代表性科研项目:
(1)随机生物数学模型和传染病模型的渐近行为(11371085),国家自然科学基金,2014-2017。
(2)随机时滞生物数学模型的渐近行为(11871473),国家自然科学基金, 2019-2021。
(3)具有分布时滞的随机生物数学模型的动力学研究(ZR2019MA010 ),山东省自然科学基金,2019-2021。
(4)交叉学科中的数学方法及其应用(15CX08001A ), 中国石油大学(华东)科研创新团队建设计划项目,2015-2018.
(5)随机生物数学模型的渐近行为(Y1410065), 中 国 石 油 大 学(华东)引进人才(博士)科研基金资助项目,2014-2019。
获奖情况(除教师个人获奖之外,还包含指导学生获奖情况)
1. 随机生物数学模型动力学行为研究. 教育部高等学校科学研究优秀成果(科学技术)自然科学奖二等奖,省部级(政府类),2015,排名第1。
荣誉称号(除教师个人获得荣誉之外,还包括指导学生获得荣誉情况)
1. 博士论文“随机微分方程中的参数估计与假设检验问题”被评为 2008 年全国百篇优秀博士论文,2008年。
2.中国石油大学(华东)劳动模范,2019年。
3. 科睿唯安《2014-2020 全球高被引科学家》。
4. 《爱思唯尔 2014-2020 年中国高被引学者》。
论文
1. 主要论文:
(1)Ergodic stationary distribution and extinction of a n- speciesGilpin–Ayala competition system with nonlinear random perturbations. Applied Mathematics Letters , 2021,120
(2)Stationary solution, extinction and density function for a high-dimensional stochastic SEI epidemic model with general distributed delay. Applied Mathematics and Computation, 2021, 405
(3)Dynamical behavior of a stochastic Nicholson’s blowflfliesmodel with distributed delay, Nonlinear Dynamics, 2021, 103
(4) Stationary distribution and extinction for a food chain chemostat model with random perturbation. Mathematical Methods in the Applied Sciences,2021,44:
(5) Dynamical behavior of a stochastic predator-prey model with stage structure for prey, Applied Mathematical Modelling,2020,85:
(6) Stationary distribution of a stochastic cholera model between communities linked by migration,Applied Mathematics and Computation, 2020, 373
(7)Stationary Distribution and Extinction of a Stochastic HIV-1 Infection Model with Distributed Delay and Logistic Growth,Journal of Nonlinear Science, 2020, 30
(8) Global Asymptotic Behavior of a Multi-species Stochastic Chemostat Model with Discrete Delays, Journal of Dynamics and Differential Equations, 2020, 32
(9) Dynamical behavior of a stochastic epidemic model for cholera, Journal of the Franklin Institute, 2019, 356
(10) DYNAMICAL BEHAVIOR OF A MULTIGROUPSIRS EPIDEMIC MODEL WITH STANDARD INCIDENCE RATES AND MARKOVIAN SWITCHING, DISCRETE ANDCONTINUOUS DYNAMICAL SYSTEMS,2019,10
(11) Dynamical behavior of a stochastic epidemic model for cholera,JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2019,13
(12) Dynamics of a stochastic SIR epidemic model with distributed delay and degenerate diffusion,JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2019,13
(13) Threshold behavior in a stochastic delayed SIS epidemic model with vaccination and double diseases,JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2019,13
(14) Dynamics of an avian influenza model with half-saturated incidence,APPLIED MATHEMATICS AND COMPUTATION,2019,355
(15) Stationary distribution of an HIV model with general nonlinear incidence rate and stochastic perturbations , JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2019,13
(16) The threshold of a chemostat model with single-species growth on two nutrients under telegraph noise[J].COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2019,75
(17) Stationary distribution of a stochastic food chain chemostatmodel with general response functions, APPLIED MATHEMATICS LETTERS,2019 ,91
(18) Dynamics of a stochastic multigroup SIQR epidemic model with standard incidence rates,JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2019,5
(19) Stationary distribution and extinction of a stochastic dengue epidemic model,JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2018,17
(20) Ahmed.Stationary distribution and extinction of a stochastic predator-prey model with herd behavior,JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS2018,16
(21) Dynamical behavior of stochastic multigroup S-DI-A epidemic models for the transmission of HIV,Journal of the FranklinInstitute,2018,13
(22) Ergodic property of a Lotka–Volterra predator–prey model with white noise higher order perturbation under regime switching,Applied Mathematics and Computation,2018,320 (23) Dynamics of a Stochastic Predator–Prey Model with Stage Structure for Predator and Holling Type II Functional Response,Journal of Nonlinear Science,2018,3
(24) Periodic Solution and Stationary Distribution of Stochastic Predator–Prey Models with Higher-Order Perturbation,Journal of Nonlinear Science,2018,2
(25) Stationary distribution and extinction of a stochastic predator–prey model with distributed delay,Applied Mathematics Letters,2018,78
(26) Stationary distribution and extinction of a stochastic predator–prey model with additional food and nonlinear perturbation,Applied Mathematics and Computation,2018, 320
(27) Analysis of a delayed vaccinated SIR epidemic model with temporary immunity and Lévy jumps.Nonlinear Analysis: Hybrid Systems,2018,27
(29) A stochastic model under regime switching and with general response function,NONLINEAR ANALYSIS-HYBRIDSYSTEMS,2018,27
(30)Threshold behavior in a stochastic SIQR epidemic model with standard incidence and regime switching,APPLIED MATHEMATICS AND COMPUTATION,2018,316
著作
1.《随机生物模型和传染病模型》,科学出版社 ,2018年
学术兼职
吉林省工业应用数学学会、运筹学学会常务理事;担任《《J. Math. Anal. Appl.》、《Nonlinear Analysis》、《J. Comput. Appl. Math.》、《 Computer and Math. with Appl. 》、《Appl. Math. Letters》等多个期刊审稿人。
