基本信息:
张小兵,副教授,硕士生导师。1998至2002湖南大学本科,2006至2009永利集团硕士,2013至2018永利集团,控制理论与控制工程博士。2002年7月毕业至今,在yl7703永利官网,从事教学科研活动。
办公室地点:彭家坪校区文理大楼325
联系方式:zhangxb@lut.edu.com
教学工作:主讲本科生课程:高等数学、线性代数、概率统计、计算方法、常微分方程等,研究生课程:数学物理方法、泛函分析、生物数学原理、微分方程定性及稳定性理论、差分方程、非线性泛函分析。2013年获永利集团青年教师讲课竞赛三等奖。指导本科生参加美国及全国老员工数学建模竞赛获M奖及国家奖等各类奖多次。2013年起指导硕士研究生9名,已毕业5人,在读3人,其中1人在新疆医科大学工作,1人在国防科技大学读博,2人在高中工作。
科研工作:主要研究方向随机微分方程理论及应用。近年来在国内外《Applied Mathematics Letters》《Applied MathematicalModelling》、《Stochastic Analysis and Applications》《Physica A:Statistical Mechanics and Its Applications》《Nonlinear Dynamics》《AppliedMathematics and Computation》《Nonlinear Analysis:HybridSystems》《Nonlinear Analysis:Real World Applications》等杂志发表学术论文20余篇,其中SCI 收录10 余篇,主持完成校基金1项,主持完成省自然科学基金1项,目前主持国家自然基金项目1项。
已发表论文:
[1]Xiao-Bing Zhang,Liang Zheng,Complex dynamics of a stochastic SIR epidemic model with vertical transmission and varying total population size,Journal of Nonlinear Science(2023).
[2]Xiao-Bing Zhang,Rui-Jie Liu, The dynamics and application of a stochastic delayed SIS epidemic model with vaccination,Stochastic Analysis and Applications(2021), DOI: 10.1080/07362994.2021.1906273
[3]Xiao-Bing Zhang,Rui-Jie Liu, The stationary distribution of a stochastic SIQS epidemic model with varying total population size,Applied Mathematics Letters116 (2021) 106974.
[4]Xiao-Bing Zhang, Xiao-Hong Zhang, The threshold of a deterministic and a stochasticSIQSepidemic model with varying total population size,Applied MathematicalModelling91 (2021) 749-767.
[5]Xiao-Bing Zhang,Suqin Chang,Hai-Feng Huo,Dynamic behavior of a stochastic SIRepidemic model with vertical transmission,Electronic Journal of Differential Equations2019 (125) (2019) 1-20.
[6]Xiao-Bing Zhang, Xiao-Dong Wang,Hai-Feng Huo, Extinction and stationary distributionof a stochastic SIRS epidemic model with standard incidence rate and partialimmunity,Physica A:Statistical Mechanics and Its Applications531 (2019)121548.
[7]Xiao-Bing Zhang, Qihong Shi,Shuang-Hong Ma,Hai-Feng Huo, Dungang Li,Dynamic behavior of astochastic SIQS epidemic model with lévy jumps,Nonlinear Dynamics93 (3)(2018) 1481-1493.
[8]Xiao-Bing Zhang,Suqin Chang, Qihong Shi, Hai-Feng Huo, Qualitative study of a stochasticSIS epidemic model with vertical transmission,Physica A:Statistical Mechanicsand Its Applications505 (2018) 805-817.
[9]Xiao-Bing Zhang,Hai-Feng Huo, Hong Xiang,Dungang Li, The dynamic behavior of deterministicand stochastic delayed SIQS model,Journal of Applied Analysis and Computation8 (4) (2018) 1061-1084.
[10]Xiao-Bing Zhang,Hai-Feng Huo,Hong Xiang,Qihong Shi,Dungang Li,The threshold of a stochasticSIQS epidemic model,Physica A:Statistical Mechanics and Its Applications482 (2017) 362-374.
[11]Xiao-Bing Zhang,Hai-Feng Huo,Hong Xiang, Xin-You Meng,Dynamics of the deterministic and stochastic SIQS epidemic model with nonlinear incidence,AppliedMathematics and Computation243 (2014) 546-558.
[12]Xiao-Bing Zhang,Hai-Feng Huo,Hong Xiang,Xin-You Meng,An SIRS epidemic model withpulse vaccination and non-monotonic incidence rate,Nonlinear Analysis:HybridSystems8 (1) (2013) 13-21.
[13]Xiao-Bing Zhang,Hai-Feng Huo,Xiao-Ke Sun,Qiang Fu,The differential susceptibility SIRepidemic model with stage structure and pulse vaccination,Nonlinear Analysis:Real World Applications11 (4) (2010) 2634-2646.
[14]Xiao-Bing Zhang,Hai-Feng Huo,Xiao-Ke Sun,Qiang Fu,The differential susceptibilitySIR epidemic model with time delay and pulse vaccination,Journal of AppliedMathematicsandComputing34 (2) (2010) 228-235.
其他工作:
《美国数学评论》评论员,PHYSA、 NAHS、 JAAC、 JAMC、 IJB、ADE、 CHAOS、 DCDS-B、 MBE等国际SCI期刊审稿人。