基本情况

田晓红, 女，1980年生， 河北张家口人，工学博士，研究员，硕士生导师，主要从事生物数学、微分方程与动力系统及神经网络方面的研究工作。

研究生培养

2019级：王海峰，王变

2021级：郭方凯

2022级：郑荟

研究生获奖

2019级硕士研究生王海峰毕业论文被评为2022年度山西省优秀硕士学位论文

项目基金

国家自然科学基金项目, 11801340，具有类年龄结构的霍乱和登革热传播动力学的建模与研究，，2019/01-2021/12，已结题，主持

山西省应用基础研究项目,  201801D221007，具有类年龄结构的霍乱传播动力学的建模与研究, 2018.12-2020.12，已结题，主持；

河北省自然科学基金项目，A2013506012，具有时滞效应的传染病动力学模型的研究, 2013/01-2015/12，已结题，主持

国家自然科学基金面上项目，12271317，异质地理环境下蚊媒传染病动力学建模与控制策略研究，2023/01-2026/12，在研，参与

国家自然科学基金项目, 11071254，具有空间效应的传染病动力学模型的建立与研究，2011/01-2013/12，3已结题，参加

国家自然科学基金项目，11371368，具有类年龄结构和空间异质性的传染病动力学的建模与研究, 2014/01-2017.12，已结题，参加

部分论文目录

1. Bian Wang, Xiaohong Tian, Rui Xu*, Chenwei Song. Threshold dynamics and optimal control of a dengue epidemic model with time delay and saturated incidence [J]. Journal of Applied Mathematics and Computing, 2023, 69: 871–893.  

2. Haifeng Wang, Xiaohong Tian*. Asymptotic Properties and Stability Switch of a Delayed-Within-Host-Dengue Infection Model with Mitosis and Immune Response[J]. International Journal of Bifurcation and Chaos, 32(8) 2250118 (22 pages).

3. Haifeng Wang, Xiaohong Tian*. Dynamics of a delayed within host model for dengue infectionwith immune response and Beddington-DeAngelis incidence[J]. International Journal of Biomathematics, 2022, 15(3) 2250002 (20 pages).

4. 王海峰, 田晓红*. 具有时滞和体液免疫反应的宿主体内登革热感染模型的稳定性和Hopf分支, 高校应用数学学报, 2021, 36(2): 217-226.

5. Xiaohong Tian, Rui Xu*, Ning Bai and Jiazhe Lin, Bifurcation analysis of an age-structured SIRI epidemic model, Mathematical Biosciences and Engineering,  2020, 17: 7130-7150.

6. Xiaohong Tian, Rui Xu* and Jiazhe Lin, Mathematical analysis of a cholera infection model with vaccination strategy, Applied Mathematics and Computation, 2019, 361: 517-535.

7. Xiaohong Tian, Rui Xu*and Jiazhe Lin, Mathematical analysis of an age-structured HIV-1 infection model with CTL immune response, Mathematical Biosciences and Engineering, 2019, 16: 7850-7882.

8. Rui Xu, Junyuan Yang, Xiaohong Tian and Jiazhe Lin, Global dynamics of a tuberculosis model with fast and slow progression and age-dependent latency and infection, Journal of Biological Dynamics, 13(1) (2019) 675-705.

9. Rui Xu, Ning Bai and Xiaohong Tian, Global dynamics of a mathematical model of tuberculosis with age-dependent latency and active infection, Journal of Biological Systems, 27(4) (2019) 1–28.

10. Jiazhe Lin, Rui Xu*, Xiaohong Tian, Spatiotemporal dynamics in reaction–diffusion neural networks near a Turing–Hopf bifurcation point, International Journal of Bifurcation and Chaos, 29(11) (2019) 1950154.

11. Jiazhe Lin, Rui Xu*, Xiaohong Tian, Transmission dynamics of cholera with hyperinfectious and hypoinfectious vibrios: mathematical modelling and control strategies, Mathematical Biosciences and Engineering, 16(5) (2019) 4339–4358.

12.  Jiazhe Lin, Rui Xu*, Xiaohong Tian, Threshold dynamics of an HIV-1 model with both viral and cellular infections, cell-mediated and humoral immune responses, Mathematical Biosciences and Engineering, 16(1) (2019) 292–319.

13. Tian Xiaohong, Xu Rui, Gan Qintao, Hopf bifurcation analysis of a BAM neural network with multiple time delays and diffusion. Appl. Math. Comput., 266(2015) 909-926.

14. Tian Xiaohong, Xu Rui, Global stability and Hopf bifurcation of an HIV-1 infection model with saturation incidence and delayed CTL immune response. Appl. Math. Comput., 237(2014) 146-154 .

15. Tian Xiaohong, Xu Rui, Stability and Hopf bifurcation of a delayed Cohen-Grossberg neural network with diffusion. Math. Meth. Appl. Sci. 40 (2017) 293-305.

16. Tian Xiaohong, Xu Rui, Stability and Hopf bifurcation of time fractional Cohen-Grossberg neural networks with diffusion and time delays in leakage terms. Neural Process. Lett., 45(2017) 593–614. 

17. Tian Xiaohong, Xu Rui, Hopf bifurcation analysis of a reaction-diffusion neural network with time delay in leakage terms and distributed delays. Neural Process. Lett., 43(1)(2016) 173-193.

18. Tian Xiaohong, Xu Rui, Global stability and Hopf bifurcation of a delayed eco-epidemiological model with Holling type II functional response. Math. Meth. Appl. Sci. 38(2015) 4416-4434.

19. Tian Xiaohong, Xu Rui, Global stability of a delayed HIV-1 infection model with absorption and CTL immune response. IMA J. Appl. Math., 79(2014) 347-359.

20. Tian Xiaohong, Xu Rui, Traveling wave solutions for a delayed SIRS infectious disease model with nonlocal diffusion and nonlinear incidence. Abstr. Appl. Anal., 2014, doi.org/10.1155/2014 /795320.

21. Tian Xiaohong, Xu Rui, Stability analysis of an SEIS epidemic model with nonlinear incidence and time delay. J. Appl. Anal. Comput., 4(4)(2014) 405-418.

22. Tian Xiaohong, Sability analysis of a delayed SIRS epidemic model with vaccination and nonlinear incidence. International J. Biomathematics, 5(4)(2012), 1250050 (18 pages).

23. 徐瑞，田晓红，杨俊元，白宁，《霍乱传播动力学的数学建模与研究》，科学出版社，2023年8月.

24. 徐瑞，田晓红，甘勤涛，《传染病动力学建模与分析》，科学出版社，2019年7月.