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汤小松(校外兼职)

【来源:汤小松(校外兼职) | 发布日期:2022-07-01 】

江西理工大学太阳成集团tyc234cc古天乐硕士研究生导师简介

姓名

汤小松

性别

出生年月

19759

学位/职称

博士/副教授

联系方式

13970654346

电子邮箱

tangxs75@sina.com

导师简介

学习与研究经历

12013.9-2016.6,同济大学,博士;

22004.3-2006.7,华东师范大学,硕士;

31996.9-2000.6,江西师范大学,学士。

学术及社会兼职

1、美国《数学评论》评论员(134350)

2、德国《数学文摘》评论员(15474)

3、江西省数学学会理事

研究方向简介

长期从事微分方程和动力系统、生物数学及斑图构造方面的研究,现已发表SCIEI论文20余篇,主持国家自然科学基金1项,省教育厅项目2项。研究成果在Applied Mathematics LettersStudies in Applied MathematicsApplied Mathematics and Computation Nonlinear Analysis: Real World ApplicationsComplexityChaos Solitons and FractalsMathematics and Computers in SimulationJournal of Computational and Applied MathematicsJournal of Applied Mathematics and Computing 期刊上发表,论文引用300多次,在国内外产生了一定的学术影响力。

所授课程

本科生课程

《解析几何》、《高等数学》和《线性代数》。

科研项目

[1] 国家自然科学基金项目,项目名称:基于ODE的反应扩散生态系统的分支问题及时空斑图研究,项目编号:1176103820181-202112月,35万,主持,在研;

[2] 江西省教育厅科技计划项目,项目名称:具有p(t)-Laplace算子的混合分数阶微分方程解的定性问题研究,项目编号:GJJ18058320193-202112月,3万,主持,已结题;

[3] 江西省教育厅科技计划项目,项目名称:具有群体效应的扩散捕食-食饵系统的分支问题和斑图研究,项目编号:GJJ15077120161-201712月,3万,主持,已结题;

[4] 国家自然科学基金项目,项目名称:分片常负曲率空间中螺旋Tiling的保形构造及其埃舍尔艺术计算机辅助设计,项目编号:6206204220211-202412月,36万,参加,在研;

[5] 国家自然科学基金项目,项目名称:常负曲率平面的分形Tiling构造及其艺术图案可视化,项目编号:1176103920171-202112月,36万,参加,在研;

[6] 江西省自然科学基金项目,项目名称:基于进化生成对抗网络的鲁棒性排序学习研究,项目编号:20212BAB202021202111-202312月,10万,参加,在研。

获奖情况

1、指导学生参加全国大学生数学竞赛(专业组)获省级二等奖,20191-201912月;

2、指导学生参加全国大学生数学竞赛(专业组)获省级二等奖,20201-202012月;

3、指导学生参加全国大学生数学竞赛(专业组)获省级一等奖,20211-202112月。

学术成果

在国内外刊物上发表科研论文40多篇,其中有20余篇被SCIEI收录,3ESI论文。近年来部分代表作如下:

1. Tang Xiaosong. Periodic solutions and spatial patterns induced by mixed delays in a diffusive spruce budworm model with Holling II predation function. Mathematics and Computers in Simulation, 2022, 192: 420-429. (SCI收录)

2. Yang Gaoxiang, Xiaosong Tang(通讯作者). Dynamics analysis of three-species reaction- diffusion system via the multiple scale perturbation method. Journal of Applied Analysis & Computation, 2022, 12(1): 206-229. (SCI收录)

3. Tang, Xiaosong, Li Jinzhong. Chemotaxis induced Turing bifurcation in a partly diffusive bacterial and viral diseases propagation model. Applied Mathematics Letters, 2020, 100: 106037. (SCI收录)

4. Tang Xiaosong, Peichang Ouyang. Spatiotemporal dynamics in a diffusive bacterial and viral diseases propagation model with chemotaxis. Qualitative theory of dynamical systems, 2020, 19: 1-20. (SCI收录)

5. Tang Xiaosong, Yu Tao, Deng Zhiyun, Liu Dengyu. NSFD scheme and dynamic consistency of a delayed diffusive humoral immunity viral infection model. Journal of Applied Mathematics and Computing, 2020, 64(1): 429-455. (SCI收录)

6. Tang Xiaosong, Zhiwei Wang, and Jianping Yang. Threshold dynamics and competitive exclusion in a virus infection model with general incidence function and density-dependent diffusion. Complexity, 2020, 4923856. (SCI收录)

7. Wang Xinchang, Xiaosong Tang(通讯作者), Wang Zhiwei, Li Xiaolin. Global dynamics of a diffusive viral infection model with general incidence function and distributed delays. Ricerche di Matematica, 2020, 69 (2): 683-702. (SCI收录)

8. Tang Xiaosong, Wang Xinchang, Wang Zhiwei, Ouyang Peichang. The existence of solutions for mixed fractional resonant boundary value problem with p(t)-Laplacian operator. Journal of Applied Mathematics and Computing, 2019, 61(1): 559-572. (SCI收录)

9. Jiang Heping, Xiaosong Tang(通讯作者). Hopf bifurcation in a diffusive predator-prey model with herd behavior and prey harvesting. Journal of Applied Analysis & Computation, 2019, 9(2): 671-690. (SCI收录)

10. Ouyang Peichang, Xiaosong Tang(通讯作者), Kwokwai Chung, Yu Tao. Spiral patterns of color symmetry from dynamics. Nonlinear Dynamics, 2018, 94 (1): 261-272. (SCI收录)

11. Ouyang Peichang, Xiaosong Tang(通讯作者), Kwokwai Chung, Yu Tao. Fractal tilings based on successive adjacent substitution rule. Complexity, 2018, 6451921. (SCI收录)

12. Song Yongli, Xiaosong Tang. Stability, steady‐state bifurcations, and Turing patterns in a predator-prey model with herd behavior and prey‐taxis. Studies in Applied Mathematics, 2017, 139(3): 371-404. (SCI收录,ESI论文)

13. Tang Xiaosong, Jiang Heping, Deng Zhiyun, Yu Tao. Delay induced subcritical Hopf bifurcation in a diffusive predator-prey model with herd behavior and hyperbolic mortality. Journal of Applied Analysis & Computation, 2017, 7(4): 1385-1401. (SCI收录)

14. Tang Xiaosong, Song Yongli, Zhang Tonghua. Turing-Hopf bifurcation analysis of a predator- prey model with herd behavior and cross-diffusion. Nonlinear dynamics, 2016, 86(1): 73-89. (SCI收录)

15. Tang Xiaosong. Existence of solutions of four-point boundary value problems for fractional differential equations at resonance. Journal of Applied Mathematics and Computing, 2016, 51 (1): 145-160. (EI收录)

16. Tang Xiaosong, Song Yongli. Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior. Nonlinear Analysis: Real World Applications, 2015, 24: 36-49. (SCI收录,ESI论文)

17. Tang Xiaosong, Song Yongli. Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior. Applied Mathematics and Computation, 2015, 254: 375-391. (SCI收录,ESI论文)

18. Tang Xiaosong, Song Yongli. Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality. Chaos, Solitons & Fractals, 2015, 81: 303-314. (SCI收录)