蔡永丽

阜阳师范大学，数学与应用数学，学士

温州大学，应用数学，硕士

中山大学，基础数学，博士

2015.08-2018.06，淮阴师范学院，米兰全站APP，讲师

2017.03-2017.09，香港理工大学，应用数学系，助理研究员

2018.07-2023.06，淮阴师范学院，米兰全站APP，副教授

2023.07-2024.11，淮阴师范学院，米兰全站APP，教授

2024.12-今, 南通大学, 米兰全站APP, 教授

微分方程理论及其在种群生态系统、传染病模型中的应用

常微分方程

实变函数

泛函分析

高等数学

线性代数

国家自然科学基金面上项目，基于空气质量和空间异质性的呼吸道传染病建模分析及预警(12071173），2021/01-2024/12，主持，结题;

国家自然科学基金青年基金,空间异质环境中的传染病模型若干问题研究（11601179），2017/01-2019/12，主持，结题;

江苏省高校自然科学研究面上项目,新型冠状病毒肺炎疫情建模分析与风险预测（20KJB110025），2020/2-2022/12，主持，结题;

江苏省高校自然科学研究面上项目,媒体报道及环境变化对传染病传播的影响研究（16KJB110003），2016/09-2018/08，主持，结题;

国家自然科学基金面上项目，新冠肺炎疫苗接种的动力学建模与分析(1217011789)，2022/01-2025/12，参与，在研；

国家自然科学基金面上项目，随机传染病模型分析和算法研究及应用（61672013），2017/01-2020/12，参与，结题。

Xiaomeng Wang, Yongli Cai*; Optimal control of an inuenza model incorporating pharmacological andnon-pharmacological inNterventions, Advances in Continuous and Discrete Models, 2025, 2025(17).

Zhaohua Wu,· Yongli Cai , Zhiming Wang, Daihai He,· Weiming Wang*,Global dynamics of a fractional order SIRS epidemic model by the way of generalized continuous time random walk, Journal of Mathematical Biology,2025, (2025) 90:39.

Xiaomeng Wang, Xue Wang, Xinzhu Guan, Yun Xu, Kangwei Xu, Qiang Gao, Rong Cai, Yongli Cai*; The impactof ambient air pollution on an inffuenza model with partial immunity and vaccination, Mathematical Biosciences and Engineering, 2023, 20(6):10284-10303.

Xiaomeng Wang, Yongli Cai*; The influence of ambient air pollution on the transmission of tuberculosisin Jiangsu, China, Infectious Disease Modelling, 2023, 8(2023)：390-402.

Zhaohua Wu, Yongli Cai, Zhiming Wang, Weiming Wang*; Global stability of a fractional order SISepidemic model, Journal of Differential Equations, 2023, 352(2023)：221-248.

Qian Cao, Yongli Cai*, Yong Luo; Nonconstant positive solutions to the ratio-dependent predator-prey system with prey-taxis in one dimension, Discrete and Continuous Dynamical Systems -Series B, 2022, 27(3):1397-1420.

Yongli Cai, Shi Zhao, Yun Niu, Zhihang Peng, Kai Wang; Daihai He, Weiming Wang*; Modelling the effects of the contaminated environments on tuberculosis in Jiangsu, China, Journal of Theoretical Biology, 2021, 508(2021):110453.

Yongli Cai, Jiaxu Li, Yun Kang, Kai Wang, Weiming Wang*; The fluctuation impact of human mobility on the influenza transmission, Journal of the Franklin Institute. 2020,357: 8899-8924.

Yongli Cai, Qian Cao, Zhi-AnWang*; Asymptotic dynamics and spatial patterns of a ratio-dependent predator–prey system with prey-taxis, Applicable Analysis, 2020, 2:1-19.

Yongli Cai, Weiming Wang*; Global transmission dynamics of a Zika virus model, Applied mathematics letters, 2019, 92：190—195.

Yongli Cai, Xinze Lian, Zhihang Peng, Weiming,Wang* ; Spatiotemporal transmission dynamics for influenza disease in a heterogenous environment, Nonlinear Analysis: Real World Applications, 2019, 46:178-194.

Yongli Cai, Zuqin Ding, Bin Yang, Zhihang Peng; Weiming Wang*; Transmission dynamics of Zika virus with spatial structure- A case study in Rio de Janeiro, Brazil. Physica A, 2019,514 :729-740.

Yongli Cai, Yun Kang, Malay Banerjee, Weiming Wang*; Complex Dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment. Nonlinear Analysis Series B: RWA, 2018,40:444-465.

Yongli Cai, Jianjun Jiao, Zhanji Gui, Weiming Wang*; Environmental variability in a stochastic epidemic model. Applied Mathematics & Computation, 2018,329:210-226.

Yongli Cai, Zhanji Gui, Xuebing Zhang, Hongbo Shi, Weiming Wang*; Bifurcations and Pattern Formation in a Predator-Prey Model. International Journal of Bifurcation and Chaos, 2018,28:850140.

Yongli Cai, Yun Kang, Weiming Wang*. A stochastic SIRS epidemic model with nonlinear incidence rate. Applied Mathematics & Computation, 2017, 305:221-240.

Yongli Cai, Weiming Wang*. Global stability for an influenza transmission model incorporating human mobility behavior. International Journal of Biomathematics, 2017, 10: 1750100.

Yongli Cai, Yun Kang, Weiming Wang*. Global stability of the steady states of an epidemic model incorporating intervention strategies. Mathematical Biosciences & Engineering, 2017,14(5/6): 1071-1089.

Yongli Cai, Weiming Wang*. Fish-hook bifurcation branch in a spatial heterogeneous epidemic model with cross-diffusion. Nonlinear Analysis Real World Applications, 2017,30:99-125.

Yongli Cai, Yun Kang, Malay Banerjee, Weiming Wang*. A stochastic epidemic model incorporating media coverage. Communications in Mathematical Sciences, 2016,14:893-910.

Yongli Cai, Zhaojuan Wang, Weiming Wang*. Endemic dynamics in a host–parasite epidemiological model within spatially heterogeneous environment. Applied Mathematics Letters, 2016,61:129-136.

Yongli Cai, Yun Kang, Malay Banerjee, Weiming Wang*. A stochastic SIRS epidemic model with infectious force under intervention strategies. Journal of Differential Equations, 2015, 259:7463-7502.

Yongli Cai, Caidi Zhao, Weiming Wang*, Jinfeng Wang. Dynamics of a Leslie-Gower predator-prey model with additive Allee effect. Applied Mathematical Modelling, 2015,39: 2092-2106.

Yongli Cai, Yuan Yuan, Xinze Lian, Weiming Wang*. Extinction in a Feline Panleukopenia, virus model incorporating direct and indirect transmissions. Applied Mathematics & Computation, 2015,258:358-366.

Yongli Cai, Weiming Wang*. Dynamics of a parasite-host epidemiological model in spatial heterogeneous environment. Discrete and Continuous Dynamical Systems - Series B, 2015, 20:989-1013.

Yongli Cai, Weiming Wang*. Stability and Hopf bifurcation of the stationary solutions to an epidemic model with cross-diffusion. Computers and Mathematics with Applications, 2015,70:1906-1920.

王玮明，蔡永丽，生物数学模型斑图动力学，科学出版社，2020.

王玮明，蔡永丽，王凯，随机传染病动力学模型，科学出版社，2022.

江苏省“333高层次人才培养工程”第三层次培养对象（2022年）

江苏省高校“青蓝工程”优秀青年骨干教师（2018年）

淮安市第二期“533英才工程”骨干人才（2017年）

甘肃省2024年度自然科学奖三等奖（2025年）

新疆维吾尔自治区2020年度科学技术奖二等奖（2021年）

海南省2019年度自然科学奖二等奖（2020年）

中国产学研合作创新成果奖优秀奖（2021年）

淮安自然科学优秀学术论文一等奖（2018年）

指导本科生江苏省优秀毕业论文三等奖（2023年）

指导本科生“挑战杯”获省三等奖2项

指导大学生创新训练计划项目省级重点3项