李美麗

基本信息姓名李美麗
系室數學系
職稱教授
聯系方式見學院黃頁
電子郵件stylml@dhu.edu.cn
研究方向生物數學
個人簡介博士生導師。主要進行傳染病數學模型理論、傳染病傳染機制及傳播特性研究,在霍亂、流感、新冠肺炎的影響及控制,以及疾病在網絡中的傳播方面得到了一些重要的結果。主持3項國家自然科學基金面上項目和2項上海市自然科學基金項目。現擔任中國數學會生物數學專業委員會第九屆委員會常務委員、國際學術期刊《Journal of Nonlinear Modeling and Analysis》編委。出版專著《微分方程基本理論》。主持上海市“留學生《高等數學》雙語”重點課程1項,高等學校大學數學教學研究與發展中心項目3項。
學習經曆起止年月學校專業學位/學曆
2003/02-2006/04西安交通大學應用數學博士
1996/09-1999/07山西大學基礎數學碩士
1988/09-1992/07山西大學數學教育學士
工作經曆起止年月單位職稱/職務
2006/07-現在東華大學教授/數學系副主任
2008/06-2011/02上海師範大學博士後
2013/08-2014/08維多利亞大學訪問學者
2014/09-2015/09維多利亞大學博士後
2019/09-2020/09蒙特克萊爾州立大學訪問學者
代表性論文
Mingran Zhang,Meili Li, Junling Ma, The role of long-lived plasma cells in viral clearance, Journal of Biological Dynamics, 18(1): 2325523, 2024.
Slim Ibrahim,Meili Li, Junling Ma, Kurtis Manke, Threshold of Effective Degree SIR Model, Journal of Nonlinear Modeling and Analysis, 6(2), 435-452, 2024.
Meili Li, Yuhan Ling, Junling Ma, The dynamics of the risk perception on a social network and its effect on disease dynamics, Infectious Disease Modelling, 8, 632-644, 2023.
Liangjian Hu, Meisong Shi,Meili Li, Junling Ma, The effectiveness of control measures during the 2022 COVID-19 outbreak in Shanghai, China, PLoS ONE,18(5): e0285937, 2023.
Meili Li, Ruijun Zhai, Junling Ma, The effects of disease control measures on the reproduction number of COVID-19 in British Columbia, Canada, Mathematical Biosciences and Engineering, 20(8), 13849-13863,2023.
Meili Li, Xian Zhang, Wei Ding, Junling Ma, Estimating the mosquito density in Guangzhou city, China, Journal of Applied Analysis & Computation, 13(1), 329-343, 2023.
Meili Li, Rongrong Guo, Wei Ding, Junling Ma, Temperature dependent developmental time for the larva stage of Aedes aegypti, Mathematical Biosciences and Engineering, 19(5), 4396-4406, 2022.
Shuyang Xue,Meili Li, Junling Ma, Jia Li, The effect of harvesting adults on the evolution of reproduction age via density-dependent juvenile mortality, Bulletin of Mathematical Biology, 83:108, 2021.
Meili Li, Qianqian Yuan, Pian Chen, Baojun Song, Junling Ma, Estimating the quarantine failure rate for COVID-19, Infectious Disease Modelling, 6, 924-929, 2021.
Meili Li, Manting Wang, Xueyang Xue, Junling Ma, The influence of awareness on epidemic spreading on random networks, Journal of Theorecital Biology, 486, 110090, 2020.
Meili Li, Hong Wang, Baojun Song, Junling Ma, The spread of influenza-like-illness within the household in Shanghai, China, Mathematical Biosciences and Engineering, 17(2), 1889-1900,2019.
Shuang Xue,Meili Li, Jia Li, Junling Ma, Sex-structured wild and sterile mosquito population models with different release strategies, Mathematical Biosciences and Engineering, 13(2), 1313-1333, 2019.
Meili Li, Mingcui Huang, Approximate controllability of second-order impulsive stochastic differential equations with state-dependent delay, Journal of Applied Analysis and Computation, 8(2), 598-619, 2018.
Meili Li, Xiang Li, Approximate controllability of neutral stochastic integro-differential systems with impulsive effects, Electronic Journal of Differential Equations, 53, 1-16, 2016.
Meili Li, Junling Ma, Approximate controllability of second order impulsive functional differential system with infinite delay in Banach spaces, Journal of Applied Analysis and Computation, 6(2), 492-514, 2016.
Meili Li, Junling Ma, P. van den Driessche, Model for disease of a waterborne pathogen on a random network, Journal of Mathematical Biology, 71(4), 961-977, 2015.
Meili Li, R. Illner, R. Edwards, Junling Ma, Marketing new products: Bass models on random graphs, Communications in Mathematical Sciences, 13(2), 497-509, 2015.
Meili Li, Xiaoxia Wang, Haiqing Wang, Controllability of nonlinear third-order dispersion inclusions with infinite delay, Electronic Journal of Differential Equations, 1-10, 170, 2013.
Meili Li, Existence results for nondensely defined impulsive neutral functional differential equations with infinite delay, Nonlinear Analysis: Hybrid Systems, 5, 502-512, 2011.
Meili Li, Maoan Han, Existence for neutral impulsive functional differential equations with nonlocal conditions, Indagationes Mathematicae, 20(3), 435-451, 2009.
Meili Li, Maoan Han, Chunhai Kou, The existence of positive periodic solutions of a generalized n-species Gilpin-Ayala impulsive competition system, Mathematical Biosciences and Engineering, 5, 803-812, 2008. 
Meili Li, Miansen Wang, Fengqin Zhang, Controllability of impulsive functional differential systems in Banach spaces, Chaos Solitons & Fractals, 29, 175-181, 2006.
Meili Li, Miansen Wang, Xianlong Fu, Controllability of semilinear evolution equations with nonlocal conditions, Acta Math. Appl. Sinica, English Series, 21, 697-704, 2005.
Meili Li, Yongrui Duan, Weiping Zhang, Miansen Wang, The existence of positive periodic solutions of a class of Lotka-Volterra type impulsive systems with infinitely distributed delay, Computer & Mathematics with Applications, 49, 1037-1044, 2005.
專著
趙愛民,李美麗,韓茂安,微分方程基本理論,科學出版社,2011.10.
科研項目
國家自然科學基金委員會,面上項目,12271088,基于接觸網絡的傳染病傳播和控制策略研究,2023/01-2026/12, 46萬,主持
上海市自然科學基金,21ZR1401000,基于緊密接觸網絡的疾病傳播特性和控制策略研究,2021/07-2024/06, 20萬,主持
國家自然科學基金委員會,面上項目,11771075,現實網絡上的信息或疾病擴散機制與演化規律研究,2018/01-2021/12,48萬,主持
中央高校基本科研業務費專項資金疫情防控應急項目,新型冠狀病毒的傳播特性和控制策略研究,2020/01-2020/12,5萬,主持
國家自然科學基金委員會,面上項目,11371087,尺度結構随機種群模型穩定性分析與控制,2014/01-2017/12,62萬,主持
上海市自然科學基金,12ZR14001001,大小結構時滞種群模型的定性與控制問題研究,2012/07-2015/06,10萬,主持
教學項目
高等學校大學數學教學研究與發展中心,特征多項式應用案例設計,2019/01-2020/12,主持
高等學校大學數學教學研究與發展中心重點項目:《高等數學》集成創新資源共享課建設子項目:思考題與讨論題,2013/07-2015/08,主持
上海市教委重點課程:留學生《高等數學》(雙語),2011/10-2013/09,主持
高等學校大學數學教學研究與發展中心,《高等數學》數字化教材的編寫與新型教學結構模塊的創建,2011/09-2013/08,主持
教學論文
應用案例教學在線性代數課程中的探索. 2020新時代高校數學教學改革與創新研讨會論文集,高等教育出版社,2021.2.
線性代數應用案例—計算家庭中疾病的傳播概率,2020新時代高校數學教學改革與創新研讨會論文集,高等教育出版社,2021.2.
《微積分》數字化教材在教學中的應用.全國大學數學課程報告論壇2014論文集,高等教育出版社,2015.9.
高等數學數字化教材的設想.全國大學數學課程報告論壇2012論文集,高等教育出版社,2013.5.
留學生大學數學雙語教學的探索和體會。全國大學數學課程報告論壇2011論文集,高等教育出版社,2012.3.
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