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副教授
刘利利

【个人概况】

刘利利,女,河北邯郸人。博士,硕导,三晋英才。2015年7月进入山西大学复杂系统研究所。

研究方向:传染病动力学

电子邮箱:liulili03@sxu.edu.cn


【教育经历】

2012.09--2015.06      西南大学数学与统计学院,应用数学专业,获理学博士学位,导师刘贤宁教授

2009.09--2012.06      湖北民族学院理学院,基础数学专业,获理学硕士学位,导师刘志军教授

2005.09--2009.06      重庆交通大学理学院,数学与应用数学专业,获理学学士学位


【工作经历】

2022.01--2022.12      访问学者,陕西师范大学,访问老师:唐三一教授

2017.12--至今         山西大学副教授

2016.06--至今         山西大学硕士生导师

2015.07--2017.12     山西大学讲师


【教学工作】

《高等数学A1》、《线性代数》、《概率统计简明课程》


【指导学生】

2024级硕士:高梓然

2023级硕士:张小慧

2022级硕士:王祯祎

2021级硕士:马晓敏,王茜 (2024年优秀毕业研究生)

2020级硕士:张剑 (2022年研究生国家奖学金获得者,2023年山西省优秀硕士毕业论文)

2019级硕士:王洪刚


【研究生获批创新项目】

2. 2022级王祯祎 —— 项目名称:中国疟疾的时空分布及最优控制策略的研究,项目批准号:2024KY095,获批经费:0.5

1. 2020级张   剑 —— 项目名称:综合控制策略下的登革热传播模型建立与分析,项目批准号:2022KY093,获批经费:0.5


【主持项目

5. 山西省科技研究基金 (面上项目),项目编号:202303021211003项目名称:全球变暖环境下登革热传播的关键因素分析及建模研究,项目期限:2024.01--2026.12, 在研

4. 国家自然科学基金(天元项目),项目编号:12126349,项目名称:解封与疫苗优化接种及COVID-19二次暴发风险的模型分析,项目期限:2022.01--2022.12,结题

3. 山西省青年科技研究基金(面上青年项目),项目编号:201901D211160,项目名称:空间扩散影响下传染病模型的时空动力学研究,执行期限:2019.09--2022.12,结题

2. 山西省高等学校科技创新项目,项目编号:2019L0067,项目名称:空间效应下病毒感染动力学的建模与研究,执行期限:2019.07--2021.07结题

1. 国家自然科学基金(青年项目),项目编号:11601293,项目名称:空间扩散与年龄结构的肺结核动力学建模与分析,执行期限:2017.1--2019.12,结题


【代表性科研论文】 (*Corresponding author)

-------------------------------------【2024】----------------------------------------------------

1. Yiwen Tao, Jiaxin Zhao, Hao Cui*, Lili Liu, Long He. Exploring the impact of socioeconomic and natural factors on pulmonary tuberculosis incidence in China (2013-2019) using explainable machine learning: A nationwide study. Acta Tropica, 2024: 107176.

2. Xinzhi Ren, Lili Liu, Tianran Zhang*, Xianning Liu*, Minimal wave speed for a nonlocal viral infection dynamical model, Fractal. Fract., 2024.

3. Lili Liu, Xi Wang, Ou Liu, Yazhi Li, Zhen Jin, Sanyi Tang, Xia Wang*, Valuation and comparison of the actual and optimal control strategy in an emerging infectious disease: Implication from a COVID-19 transmission model, Infectious Disease Modelling, 2024, 9: 354-372

4. Lili Liu*, Honggang Wang, Yazhi Li, Mathematical analysis on a general delayed HBV model with capsids and two infection routes, Acta Mathematicae Applicatae Sinica (English Series), 2024,40(4): 1-18

5. 刘利利,马晓敏,覃文杰*,具有肝脏-病毒-血液传播的HBV感染模型的稳定性和最优控制研究,工程数学学报,2024年,录用

-------------------------------------【2023】----------------------------------------------------

1. Lili Liu, Xi Wang, Yazhi Li*, Mathematical analysis and optimal control of an epidemic model with vaccination and different infectivity, Mathematical Biosciences and Engineering, 2023, 20(12): 20914-20938

2. Lili Liu*, Xiaomin Ma, Yazhi Li, Xianning Liu, Mathematical analysis of global dynamics and optimal control of treatment for an age-structured HBV infection model, Chaos, Solitons and Fractals, 2023, 177: 114240

3. 李雅芝,张香红,刘利利*,考虑输入和接种的时滞新冠模型的最优控制策略,湖北民族大学学报(自然科学版), 2023, 41(4): 421-429

4. 刘利利, 王洪刚, 李雅芝*, 考虑病毒DNA核衣壳和细胞间传播的一般HBV扩散模型, 数学物理学报, 2023, 43A(2): 604-624

5. Lili Liu*, Jian Zhang, Yazhi Li, Xinzhi Ren, A class of age-structured TB model with information and immigration: stability and simulation study,International Journal of Biomathematics, 2023, 16(2): 2250076

6. Jian Zhang, Lili Liu*, Yazhi Li, Yan Wang, An optimal control problem of dengue transmission model with Wolbachia and vaccination, Communications in Nonlinear Science and Numerical Simulation, 2023, 116: 106856

7. Yazhi Li, Yan Wang, Lili Liu*, Optimal control of dengue vector based on a reaction-diffusion model, Mathematics and Computers in Simulation, 2023, 203: 250-270

8. Hui Cao, Mengmeng Han, Junyuan Yang*, Lili Liu, Haiyan Li, Hopf bifurcation of an SEIRS model with age structure and time delay, Journal of Biological Systems, 2023,31(1),1-25

-------------------------------------【2022】------------------------------------------------

1. 刘利利*, 张剑, 李雅芝, 杨俊元, 《考虑治疗和复发的类年龄结构结核病的最优控制模型》, 高校应用数学学报A缉, 2022, 37(3): 277-286

2. 刘利利, 王洪刚, 李雅芝*, 《考虑病毒DNA核衣壳和细胞-细胞感染的HBV感染模型的阈值动力学研究》, 西南师范大学学报(自然科学版), 2022, 47(9): 1-8

3. Xiaomei Feng, Lili Liu, Fengqin Zhang*, Dynamical Behaviors of SEIR-SVS Epidemic Models with Nonlinear Incidence and Vaccination, Acta Mathematicae Applicatae Sinica (English Series), 2022, 38(2): 282-303. DOI: 10.1007/s10255-022-1075-7

4. 李雅芝, 刘利利*, 《登革热传播模型的最优综合控制研究》, 应用数学和力学, 2022, 43(4): 445-452

5. Yan Wang, Yazhi Li, Lili Liu, Xianning Liu*, A periodic Chikungunya model with virus mutation and transovarial transmission, Chaos, Solitons and Fractals, 2022, 158: 112002

6. Lili Liu, Jian Zhang, Yazhi Li, Xianning Liu*, On the global stability of an age-structured TB transmission model with relapse, Mathematical Methods in the Applied Sciences, 2022, 45: 5622-5630

-------------------------------------【2021-2014】------------------------------------------

11. Lili Liu, Jian Zhang, Ran Zhang*, Hongquan Sun*, Hopf bifurcation of an age-structured epidemic model with temporary immunity effects, International Journal of Bifurcation and Chaos, 2021, 31(12): 2150183 (15 pages) (Link)

10. Yazhi Li, Lili Liu*, The impact of Wolbachia on dengue transmission dynamics in an SEI-SIS model, Nonlinear Analysis: Real World Application, 2021, 62: 103363.

9. Ran Zhang, Lili Liu*, Xiaomei Feng, Zhen Jin, Existence of traveling wave solutions for a diffusive tuberculosis model with fast and slow progression, Applied Mathematics Letters, 2021, 112: 106848

8. Lili Liu*, Rui Xu, Zhen Jin, Global dynamics of a spatial heterogeneous viral infection model with intracellular delay and nonlocal diffusion, Applied Mathematical Modelling, 2020; 82: 150-167 (Link)

7. Lili Liu, Xianning Liu*, Mathematical analysis for an age-structured heroin epidemic model, Acta Applicandae Mathematicae, 2019; 164(1):193-217

6. Lili Liu*, Xiaomei Feng*, An multigroup SEIR epidemic model with age-dependent latency and relapse, Mathematical Methods in the Applied Sciences, 2018; 41: 6814 - 6833.

5. Lili Liu, Xinzhi Ren, Xianning Liu*, Dynamical behaviors of an influenza epidemic model with virus mutation, Journal of Biological Systems, 2018, 26(3): 1-18  (Link)

4.  Lili Liu, Xianning Liu*, Global stability for an age-structured SVEIR epidemic model with waning immunity, latency and relapse,International Journal of Biomathematics, 2017, 10(3): 1750038

3. Lili Liu, Xianning Liu*, Jinliang Wang, Threshold dynamics of a delayed multi-group heroin epidemic model in heterogeneous populations, Discrete and Continuous Dynamical Systems Series B, 2016, 21(8): 2615-2630

2.  Lili Liu, Jinliang Wang, Xianning Liu*, Global stability of an SEIR epidemic model with age-dependent latency and relapse, Nonlinear Analysis: Real World Application, 2015, 24: 18-35  (Link)  

1. Lili Liu, Xianning Liu*, Global stability of a transport-related infection model with general incidence rate in two heterogeneous cities, BioSystems, 2014; 126: 41-51

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Last modified: 18-Sep-2024