[1] 多寡头企业的经济数学模型及其数值模拟。达州市数学与金融研究中心重点项目(SCMF202201),项目负责人,在研。
[2] 害虫综合防治数学模型及其控制理论研究(面上)。四川省科技厅应用基础项目(2017JY0336),项目负责人,结题。
[3] 非线性生物动力系统的动力学行为及其控制。四川省教育厅科研基金(14ZB0115),项目负责人,结题。
[4] 西南科技大学龙山学术人才科研支持计划项目(17LZX670,18LZX622),项目负责人,在研。
[5] 复杂生物动力系统建模及其应用。西南科技大学博士基金(15zx7138),项目负责人,结题。
[6] 带刚性分隔板圆柱绕流控制机理及计算方法研究。国家自然科学基金(51349011),第三参研,结题。
[7] 生态、生物动力系统中某些特征的研究与控制。四川省教育厅科研基金(11ZB192),第一主研,结题。
[8] 非线性波动方程的怪波解及其性态研究。四川省教育厅科研基金(15ZB0113),第三参研,结题。
[9] 具有复杂转移概率的Markov跳跃系统的分析与综合。西南科技大学博士基金(13zx7141),第一主研,在研。
[10] 几类非线性波动方程的可积性和怪波解及孤波解的谱稳定性研究。西南科技大学博士基金(18zx7165),第三参研,在研。
[11] 均值不变方程及其相关问题的研究。西南科技大学博士基金(18zx7166),第四参研,在研。
[12] 猪肉质量追溯系统开发。企业横向项目(15zh0195),第二参研,结题。
[1] Xingzhi Chen, Li Dong,Baodan Tian* et al. Ergodic stationary distribution and extinction of stochastic delay chemostat system with Monod-Haldane functional response andhigher-order Lévy jumps. Communications in Nonlinear Science and Numerical Simulation, 126(2023)107416. (SCI, JCR-Q1, online)
[2] Xingzhi Chen,Baodan Tian, et al. Threshold of a stochastic two-species competition chemostat model with saturated growth rate and Lévy jumps. Mathematical Methods in the Applied Sciences. doi.org/10.1002/mma.9591. (SCI, JCR-Q1,online)
[3] Xingzhi Chen,Baodan Tian*, Xin Xu et al. A Stochastic SIS Epidemic Infectious Disease Model with Double Stochastic Perturbations. International Journal of Biomathematics, 2024,17(4) 2350040. (SCI, JCR-Q3)
[4] Yanhong Qiu,Baodan Tian*, Daquan Xian et al. New exact solutions of nontraveling wave and local excitation of dynamic behavior for GGKdV equation. Results in Physics, 49 (2023) 106463. (SCI, JCR-Q1)
[5] Xingzhi Chen,Baodan Tian* et al. A stochastic predator-prey system with modified LG-Holling type II functional response. Mathematics and Computers in Simulation, 2023, 203: 449-485. (SCI, JCR-Q1)
[6] Xingzhi Chen,Xin Xu, Baodan Tian et al. Dynamics of a stochastic delayed chemostat model with nutrient storage and Lévy jumps. Chaos, Solitons and Fractals, 165 (2022) 112773. (SCI, JCR-Q1)
[7] Xin Xu, Yanhong Qiu, Xingzhi Chen, Hailan Zhang, Zhiyuan Liang, Baodan Tian*. Bifurcation analysis of a food chain chemostat model with Michaelis-Menten functional response and double delays. AIMS Mathematics, 2022, 7(7): 12154-12176. (SCI, JCR-Q1)
[8] Baodan Tian*, Jiamei Li, Xue Wu, Yong Zhang. Dynamic behavior of a predator-prey system with impulsive control strategy. International Journal of Dynamical Systems and Differential Equations, 2022, 12(6): 493-509. (Ei)
[9] Yong Zhang, Baodan Tian*, Xingzhi Chen, Jiamei Li. A stochastic diseased predator system with modified LG-Holling type II functional response. Ecological Complexity, 2021, 45: 100881. (SCI, JCR-Q2)
[10] Xingzhi Chen,Baodan Tian* et al. Evaluation and prediction of the status of COVID-19 epidemic prevention and control based on the SEIR+CAQ model. International Journal of Modeling, Simulation, and Scientific Computing, 2021, 12(3):2160051.(Ei)
[11] Baodan Tian*, Liu Yang, Yong Zhang, Xingzhi Chen. A generalized stochastic competitive system with Ornstein–Uhlenbeck process. International Journal of Biomathematics, 2021,14(1): 1-19. (SCI, JCR-Q2)
[12] 陈兴志,田宝单*,王代文等. 基于SEIR模型的COVID-19疫情防控效果评估和预测. 应用数学和力学,2021,42(2): 199-211.
[13] 陈兴志,田宝单*,张勇. 一类具有随机扰动的病虫害生态流行病系统的渐近性质. 生物数学学报,2021, 36(2):179-188.
[14] Baodan Tian*, Yong Zhang, Jiamei Li. Stochastic perturbations for a duopoly Stackelberg model. Physica A-Statistical Mechanics and its Applications, 2020, 545: 123792. (SCI, JCR-Q2)
[15] Baodan Tian*, Pengkai Zhang, Jiamei Li and Yong Zhang. A non-autonomous impulsive food-chain model with delays. Advances in Difference Equations, 2019, 395: 1-18. (SCI, JCR-Q2)
[16] Liu Yang and Baodan Tian*. Asymptotic properties of a stochastic nonautonomous competitive system with impulsive perturbations. Advances in Difference Equations, 2017, 2017(201): 1-13. (SCI, JCR-Q3)
[17] Baodan Tian*, Shouming Zhong, Ning Chen. Existence and stability of a unique almost periodic solution for a prey-predator system with impulsive effects and multiple delays. Advances in Difference Equations, 2016, 187: 1–23. (SCI, JCR-Q3)
[18] Baodan Tian*, Yanhong Qiu, Yucai Ding. Impulsive control strategy for a non-autonomous food-chain system with multiple delays. Journal of Control Science and Engineering, 2016, 6126545: 1-9. (EI)
[19] Baodan Tian*, Shouming Zhong, Zhijun Liu. Extinction and persistence of a nonautonomous stochastic food-chain system with impulsive perturbations. International Journal of Biomathematics, 2016, 9(5): 1-26.(SCI, JCR-Q3)
[20] Baodan Tian*, YanhongQiu. Exact and Explicit Solutions of Whitham-Broer-Kaup Equations in Shallow Water. Pure and Applied Mathematics Journal, 2016; 5(6): 174-180.
[21] BaodanTian*, Ning Chen, Yanhong Qiu. Almost Periodic Solution for an Epidemic Prey- Predator System with Impulsive Effects and Multiple Delays. Discrete and Dynamics in Nature and Society, 2015, 486463: 1–15.(SCI, JCR-Q3)
[22] Baodan Tian*, Yunguo Jin, Shouming Zhong, Ning Chen. Global stability of an epidemic model with stage structure and nonlinear incidence rates in a heterogeneous host population. Advances in Difference Equations, 2015, 260: 1–13. (SCI, JCR-Q3)
[23] Baodan Tian, Liu Yang, Shouming Zhong. Global stability of a stochastic predator-prey model with Allee effect. International Journal of Biomathematics, 2015, 8(4): 1-15. (SCI, JCR-Q3)
[24] Baodan Tian*, Daquan Xian, Yanhong Qiu. New exact solutions for a (1+1)-dimensional Chemotaxis model. Journal of Biomathematics, 2015, 30(4): 593-598.
[25] Baodan Tian*, Shouming Zhong, Ning Chen and Xianqing Liu. Impulsive control strategy for a chemostat model with nutrient recycling and distributed time-delay. Mathematical Methods in the Applied Sciences, 2014, 37: 496–507.(SCI, JCR-Q3)
[26] Baodan Tian*, Shouming Zhong, Ning Chen and Yanhong Qiu. Dynamical behavior for a food-chain model with impulsive harvest and digest delay. Journal of Applied Mathematics, 2014, 168571: 1-12.(SCI, JCR-Q3)
[27] Yucai Ding, Hui Liu, Baodan Tian. Improved stability criteria for Markovian jump systems with time-varying delays. Abstract and Applied Analysis, 2014, 248061: 1-9.(SCI, JCR-Q1)