Research articles

1. 数据和模型驱动的重大传染病疫情时空演化传播机理研究

[42] Yue Zhang, Jian Zu, Xiaodan Sun*. Global dynamics of an epidemic model with a two-threshold policy. Applied Mathematical Modelling, 2024,130:514-535. PDF (工程技术2区，Top期刊，IF=5.0)

[41] Xinyuan He#, Fan Lv#, Marissa Fox#, Yee Hui Yeo*, Biyao Zou, Jinli Liu, Yunyu Zhao, Jian Zu, Yan Li, Weiming Tang, Lei Zhang*, Fanpu Ji*. HIV-related mortality in the United States during the COVID-19 pandemic: A population-based study. Journal of Internal Medicine, 2023, 294: 178-190.  PDF (医学1区，Top期刊，IF=13.068)

[40] Parvaiz Ahmad Naik*, Zohreh Eskandari, Anotida Madzvamuse, Zakieh Avazzadeh, Jian Zu*. Complex dynamics of a discrete-time seasonally forced SIR epidemic model. Mathematical Methods in the Applied Sciences, 2023, 46(6): 7045-7059. PDF 

[39] Yee Hui Yeo#, Xinyuan He#, Fan Lv, Yunyu Zhao, Yi Liu, Ju Dong Yang, Jian Zu, Fanpu Ji*, Mindie H. Nguyen*. Trends of Cirrhosis-related Mortality in the USA during the COVID-19 Pandemic. Journal of Clinical and Translational Hepatology, 2023, 11(3): 751-756. PDF

[38] Yee Hui Yeo#, Maggie Wang#, Xinyuan He#, Fan Lv, Yue Zhang, Jian Zu, Mei Li, Yang Jiao, Joseph E. Ebinger, Jignesh K. Patel, Susan Cheng*, Fanpu Ji*. Excess risk for acute myocardial infarction mortality during the COVID-19 pandemic. Journal of Medical Virology, 2022, 95: e28187. PDF （IF=20.693, https://www.altmetric.com/details/136741159?src=bookmarklet）

[37] Fan Lv#, Xu Gao#, Amy Huaishiuan Huang#, Jian Zu*, Xinyuan He, Xiaodan Sun, Jinli Liu, Ning Gao,Yang Jiao, Margaret G. Keane, Lei Zhang, Yee Hui Yeo*, Youfa Wang, Fanpu Ji*. Excess diabetes mellitus-related deaths during the COVID-19 pandemic in the United States. eClinicalMedicine, 2022, 54: 101671. PDF (医学1区，Top期刊，IF=17.033，Part of THE LANCET Discovery Science)

[36] Xu Gao#, Fan Lv#, Xinyuan He, Yunyu Zhao, Yi Liu, Jian Zu*, Linda Henry, Jinhai Wang, Yee Hui Yeo, Fanpu Ji*, Mindie H. Nguyen*. Impact of the COVID-19 pandemic on liver disease-related mortality rates in the United States. Journal of Hepatology, 2023, 78: 16-27. PDF (医学1区，Top期刊，最有国际影响力，IF=30.083，ESI高被引论文(2023-9-)，热点论文(2023-11-)，封面论文, An official Journal of the European Association for the Study of the Liver (EASL))（新闻报道1，新闻报道2，新闻报道3）

[35] Yantao Yang, Chaojing Ma, Jian Zu*. Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality. Journal of Mathematical Biology, 2022, 85:15. PDF（最有国际影响力，权威二类期刊，An official Journal of European Society for Mathematical and Theoretical Biology）

[34] Yee Hui Yeo*, Xinyuan He, Peng-Sheng Ting, Jian Zu,  Christopher V. Almario, Brennan M.R. Spiegel, Fanpu Ji*. Evaluation of Trends in Alcohol Use Disorder-Related Mortality in the US Before and During the COVID-19 Pandemic. JAMA Network Open, 2022, 5(5): e2210259. PDF （医学1区，Top期刊）

[33] Parvaiz Ahmad Naik, Mohammad Ghoreishi, Jian Zu*. Approximate Solution of a Nonlinear Fractional-Order HIV Model Using Homotopy Analysis Method. International Journal of Numerical Analysis and Modeling, 2022, 19(1): 52-84. PDF 

[32] Miaolei Li, Jian Zu*, Yue Zhang, Le Ma, Mingwang Shen, Zongfang Li, Fanpu Ji*. COVID-19 epidemic in New York City: development of an age group-specific mathematical model to predict the outcome of various vaccination strategies. Virology Journal, 2022, 19: 43. PDF 

[31] Muhammad Bilal Ghori, Parvaiz Ahmad Naik*, Jian Zu, Zohreh Eskandari, Mehraj-ud-din Naik. Global dynamics and bifurcation analysis of a fractional-order SEIR epidemic model with saturation incidence rate. Mathematical Methods in the Applied Sciences, 2022, 45(7): 3665-3688. PDF (2023-5- ESI Highly Cited Paper)

[30] Jian Zu#, Mingwang Shen#, Christopher K. Fairley, Miaolei Li, Guoqiang Li, Libin Rong, Yanni Xiao, Guihua Zhuang, Lei Zhang*, Yan Li*. Investigating the Relationship between Reopening the Economy and Implementing Control Measures during the COVID-19 Pandemic. Public Health, 2021, 200:15-21. PDF （An official Journal of the Royal Society for Public Health）

[29] Parvaiz Ahmad Naik, Jian Zu*, Muhammad Bilal Ghori, Mehraj-ud-din Naik. Modeling the Effects of the Contaminated Environments on COVID-19 Transmission in India. Results in Physics, 2021, 29: 104774. PDF 

[28] Parvaiz Ahmad Naik, Jian Zu*, Mehraj-ud-din Naik. Stability analysis of a fractional-order cancer model with chaotic dynamics. International Journal of Biomathematics, 2021, 14(6): 2150046. PDF 

[27] Miaolei Li, Jian Zu*, Zongfang Li, Mingwang Shen, Yan Li, Fanpu Ji*. How to reduce the transmission risk of COVID-19 more effectively in New York City: an age-structured model study. Frontiers in Medicine, 2021, 8: 641205. PDF 

[26] Parvaiz Ahmad Naik, Kolade M. Owolabi, Jian Zu*, Mehraj-ud-din Naik. Modeling the Transmission Dynamics of COVID-19 Pandemic in Caputo type Fractional Derivative. Journal of Multiscale Modelling, 2021, 12(3): 2150006. PDF 

[25] Mingwang Shen, Jian Zu, Christopher K. Fairley, José A. Pagán, Li An, Zhanwei Du, Yuming Guo, Libin Rong, Yanni Xiao, Guihua Zhuang, Yan Li*, Lei Zhang*. Projected COVID-19 epidemic in the United States in the context of the effectiveness of a potential vaccine and implications for social distancing and face mask use. Vaccine, 2021, 39(16): 2295-2302. PDF（医学2区，Top期刊，最有国际影响力）

[24] Mingwang Shen#, Jian Zu#, Christopher K. Fairley, José A. Pagán, Bart Ferket, Bian Liu, Stella S. Yi, Earle Chambers, Guoqiang Li, Yuming Guo, Libin Rong, Yanni Xiao, Guihua Zhuang, Alexis Zebrowski, Brendan G. Carr, Yan Li*, Lei Zhang*. Effects of New York's executive order on face mask use on COVID-19 infections and mortality: a modeling study. Journal of Urban Health: Bulletin of the New York Academy of Medicine, 2021, 98(2): 197-204. PDF

[23] Miaolei Li, Jian Zu*, Mingwang Shen, Guihua Zhuang, Siyuan Chen, Fuzhen Wang, Hui Zheng, Guomin Zhang*. Evaluating the independent influence of sexual transmission on HBV infection in China: a modeling study. BMC Public Health, 2021, 21: 388. PDF（最有国际影响力）

[22] Jian Zu*, Miaolei Li, Zongfang Li, Mingwang Shen, Yanni Xiao, Fanpu Ji*. Transmission patterns of COVID-19 in the mainland of China and the efficacy of different control strategies: a data- and model-driven study. Infectious Diseases of Poverty, 2020, 9: 83. PDF（医学1区，Top期刊，最有国际影响力）（新闻报道）

[21] Jian Zu*, Miaolei Li, Shuting Fu, Yuexi Gu. Modelling the evolutionary dynamics of host resistance-related traits in a susceptible-infected community with density-dependent mortality. Discrete and Continuous Dynamical Systems-Series B, 2020, 25(8): 3049-3086. PDF 

[20] Parvaiz Ahmad Naik, Mehmet Yavuz, Sania Qureshi, Jian Zu*, Stuart Townley. Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan. European Physical Journal Plus, 2020, 135(10): 795. PDF (2021-7- ESI Highly Cited Paper, 2021-7-11, 2022-1-3-11 Hot Paper) 

[19] Parvaiz Ahmad Naik*. Global dynamics of a fractional-order SIR epidemic model with memory. International Journal of Biomathematics, 2020, 13(8): 2050071. PDF 

[18] Parvaiz Ahmad Naik, Kolade M. Owolabi, Mehmet Yavuz, Jian Zu*. Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells. Chaos, Solitons & Fractals, 2020, 140: 110272. PDF（数学2区，Top期刊）(2021-9- ESI Highly Cited Paper)

[17] Parvaiz Ahmad Naik, Mehmet Yavuz, Jian Zu*. The role of prostitution on HIV transmission with memory: A modeling approach. Alexandria Engineering Journal, 2020, 59(4): 2513-2531. PDF

[16] Parvaiz Ahmad Naik, Jian Zu*, Mohammad Ghoreishi. Stability analysis and approximate solution of SIR epidemic model with Crowley-Martin type functional response and Holling type-II treatment rate by using homotopy analysis method. Journal of Applied Analysis and Computation, 2020, 10(4): 1482-1515. PDF

[15] Parvaiz Ahmad Naik, Jian Zu*, Kolade M. Owolabi. Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control. Chaos, Solitons & Fractals, 2020, 138: 109826. PDF（数学2区，Top期刊）(2021-5-7 9- ESI Highly Cited Paper ) 

[14] Parvaiz Ahmad Naik, Jian Zu*. Modeling and simulation of spatial-temporal calcium distribution in T lymphocyte cell by using a reaction-diffusion equation. Journal of Bioinformatics and Computational Biology, 2020, 18(2): 2050013. PDF

[13] Parvaiz Ahmad Naik, Jian Zu*, Kolade M. Owolabi. Modelling the mechanics of viral kinetics under immune control during primary infection of HIV-1 with treatment in fractional order. Physica A: Statistical Mechanics and its Applications, 2020, 545: 123816. PDF（物理与天体物理2区）(2021-1- ESI Highly Cited Paper)

[12] Parvaiz Ahmad Naik, Jian Zu*, Mohammad Ghoreishi. Estimating the approximate analytical solution of HIV viral dynamic model by using homotopy analysis method. Chaos, Solitons & Fractals, 2020, 131: 109500. PDF（数学2区，Top期刊）(2021-3-5 ESI Highly Cited Paper) 

[11] Parvaiz Ahmad Naik*. Modeling the mechanics of calcium regulation in T lymphocyte: A finite element method approach. International Journal of Biomathematics, 2020, 13(5): 2050038. PDF 

[10] Jie Chang, Sen Xu, Shan Zhu, Zongjie Li, Jiale Yu, Yu Zhang, Jian Zu, Yu Fang*, Dennis Ross-Degnan. Assessment of non-prescription antibiotic dispensing at community pharmacies in China with simulated clients: a mixed cross-sectional and longitudinal study. Lancet Infectious Diseases, 2019, 19(12): 1345-1354. PDF (医学1区，Top期刊，最有国际影响力，IF=27.516)（新闻报道）

[9] Qian Wu, Longfei Gao, Jian Zu, Guihua Zhuang. Modeling the impact of different intervention strategies on HIV transmission among MSM in China. Medical Research Archives, 2019, 7(4): 1-12. PDF

[8] Miaolei Li, Jian Zu*. The review of differential equation models of HBV infection dynamics. Journal of Virological Methods, 2019, 266: 103-113. PDF

[7] Jian Zu*, Miaolei Li, Guihua Zhuang*, Peifeng Liang, Fuqiang Cui, Fuzhen Wang, Hui Zheng, Xiaofeng Liang*. Estimating the impact of test-and-treat strategies on hepatitis B virus infection in China by using an age-structured mathematical model. Medicine, 2018, 97(16): e0484. PDF（最有国际影响力）

[6] Peifeng Liang, Jian Zu, Guihua Zhuang*. A literature review of mathematical models of hepatitis B virus transmission applied to immunization strategies from 1994 to 2015. Journal of Epidemiology, 2018, 28(5): 221-229. PDF（医学2区）

[5] Jian Zu*, Guihua Zhuang*, Peifeng Liang, Fuqiang Cui, Fuzhen Wang, Hui Zheng, Xiaofeng Liang*. . Scientific Reports, 2017, 7: 2912.  PDF（最有国际影响力）

[4] Peifeng Liang, Jian Zu, Juan Yin, Hao Li, Longfei Gao, Fuqiang Cui, Fuzhen Wang, Xiaofeng Liang, Guihua Zhuang*. The independent impact of newborn hepatitis B vaccination on reducing HBV prevalence in China, 1992-2006: A mathematical model analysis. Journal of Theoretical Biology, 2015, 386: 115-121. PDF（最有国际影响力，权威二类期刊）

[3] Gang Huang, Jinliang Wang*, Jian Zu. Global dynamics of multi-group dengue disease model with latency distributions. Mathematical Methods in the Applied Sciences, 2015, 38(13): 2703-2718. PDF

[2] 吴谦, 祖建, 卫晓丽,游丽娟,寇玲玲,李恒新,庄贵华*. 2013年西安市强制戒毒人员乙型肝炎病毒感染及疫苗接种状况调查. 中华预防医学杂志, 2014, 48(10): 862-866.

[1] Jinliang Wang*，Jian Zu，Xianning Liu, Gang Huang, Jimin Zhang. Global dynamics of a multi-group epidemic model with general relapse distribution and nonlinear incidence rate. Journal of Biological Systems, 2012, 20 (3): 235-258. PDF

2. 个体化智能精准诊疗的数学理论与方法

[7] Zhicheng Wang#, Jinnan Sun#, Yuan Gao, Yongwei Xue, Yubo Zhang, Kuan Li, Wei Zhang, Chi Zhang, Jian Zu*, Li Zhang*. Fusang: a framework for phylogenetic tree inference via deep learning. Nucleic Acids Research, 2023, 51, 10909-10923. PDF (生物学2区，Top期刊，封面论文，最有国际影响力，IF=14.9 (2022))（新闻报道）

[6] Jiahao Liu, Yutai Gao, Yue Zhuo, Jian Zu*. Evaluation of the Pulse and Temperature of Higher Education System through Modeling and Data Mining. 2021 International Conference on Digital Society and Intelligent Systems (DSInS), 2021, 245-249, doi: 10.1109/DSInS54396.2021.9670609. PDF

[5] 刘子铭, 郭佩宏, 孙永恒, 祖建*，胡曦, 马欣越, 吴晓明, 王彤. 染色体易位重组位点的自动识别方法研究. 生物信息学, 2021, 19(3): 159-169. DOI: 10.12113/202008007 PDF

[4] Yuexi Gu, Jian Zu*, Yu Li. A novel evolutionary model for constructing gene coexpression networks with comprehensive features. BMC Bioinformatics, 2019, 20: 460. PDF（权威一类期刊）

[3] Jian Zu*, Yuexi Gu, Yu Li, Chentong Li, Wenyu Zhang, Yong E. Zhang, UnJin Lee, Li Zhang, Manyuan Long*. Topological evolution of coexpression networks by new gene integration maintains the hierarchical and modular structures in human ancestors. Science China Life Sciences, 2019, 62(4): 594-608. PDF（生物学1区，Top期刊）

[2] Jiayun Wang*, Jian Zu, Likang Wang. Temporal and spatial information extraction from videos based on the change in length of the shadow. Ninth International Conference on Machine Vision (ICMV 2016). Proceedings of SPIE, 2017, 10341: UNSP 103410U.PDF 

[1] 马楚焱, 祖建*, 付清盼, 罗凌霄. 基于遗传神经网络模型的空气能见度预测. 环境工程学报, 2015, 9(4): 1905-1910.

授权发明专利

[10] 发明人: 祖建, 孙晋楠; 申请人: 西安交通大学. 基于LSTM与Transformer的四序列系统发育树重建方法及系统. 2024-3-13(受理), 中国, 202410287236.1

[9] 发明人: 祖建, 李嘉倩; 申请人: 西安交通大学. 一种无标记成纤维型细胞数量与铺满率计算方法及系统. 2024-3-13(受理), 中国, 202410287235.7

[8] 发明人: 李兵, 祖建; 申请人: 西安交通大学. 一种无染色上皮型细胞图像的实例分割方法及系统. 2024-2-29(受理), 中国, 202410230732.3

[7] 发明人: 祖建, 王崇宇, 纪泛扑; 申请人: 西安交通大学. 一种肝脏及肝肿瘤数据分割方法及系统. 2023-8-24(受理), 中国, 202311063338.7

[6] 发明人: 祖建, 黄丽娟, 孙晋楠; 申请人: 西安交通大学. 基于第三代测序的基因组短变异深度学习检测方法及系统. 2023-3-16(受理), 中国, CN202310257362.8

[5] 发明人: 张力, 黄丽娟, 孙晋楠, 王志成, 祖建; 申请人: 北京脑科学与类脑研究中心，西安交通大学. 基于深度学习和集束搜索的系统发育树构建方法及系统. 2023-2-9(受理), 中国, CN202310132869.0

[4] 发明人: 祖建, 钱嘉甜, 王遇, 顾玥茜; 申请人: 西安交通大学. 基于词向量表征和注意力机制的药物重定位方法及系统. 2022-8-12(公开), 中国, CN202210582908.2

[3] 发明人: 胡娜, 吴晓明, 祖建, 胡曦, 王彤, 马欣越, 刘红星; 申请人: 西安交通大学, 河北燕达陆道培医院有限公司. 一种基于深度学习的染色体自动分割和分类方法. 2022-12-9(授权),中国, ZL202110970922.5

[2]发明人: 郭佩宏, 张大磊, 祖建, 胡娜; 申请人: 北京鹰瞳科技发展股份有限公司. 一种眼底视网膜动静脉血管直径计算方法及系统. 2021-8-17(公开), 中国, CN202110536793.9(成果转化: 1万元)

[1] 发明人: 祖建, 葛飞, 王雯娟, 吴晓明; 申请人: 西安交通大学. 基于多特征和多分类器的骨髓细胞分类识别方法及系统. 2022-12-9(授权), 中国, ZL202110536794.3 

3. 生物多样性的演化动力学理论与方法

[20] Parvaiz Ahmad Naik, Zohreh Eskandari, Mehmet Yavuz*, Jian Zu*. Complex dynamics of a discrete-time Bazykin–Berezovskaya prey-predator model with a strong Allee effect. Journal of Computational and Applied Mathematics, 2022, 413: 114401. PDF （数学2区，Top期刊，最有国际影响力，权威二类期刊）(2023-3- ESI Highly Cited Paper, Hot Paper ) 

[19] Parvaiz Ahmad Naik, Zohreh Eskandari, Zakieh Avazzadeh, Jian Zu*. Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response. International Journal of Bifurcation and Chaos, 2022, 32(04): 2250050. PDF （最有国际影响力，权威二类期刊）(2023-3- ESI Highly Cited Paper ) 

[18] Parvaiz Ahmad Naik, N. Indumathi, B. Ganga, S. Charles, A.K. Abdul Hakeem , Zahoor Iqbal, ElSayed Tag-ElDin, Jian Zu*. Forced convection of non-darcy flow of ethylene glycol conveying copper(II) oxide and titanium dioxide nanoparticles subject to lorentz force on wedges: Non-newtonian casson model. Frontiers in Chemistry, 2022, 10: 1010591. PDF （最有国际影响力）

[17] Jian Zu*, Jinliang Wang*, Gang Huang. Evolutionary diversification of prey and predator species facilitated by asymmetric interactions. PLoS ONE, 2016, 11(9): e0163753.  PDF（最有国际影响力）

[16] Jian Zu*, Bo Yuan, Jianqiang Du. Top predators induce the evolutionary diversification of intermediate predator species. Journal of Theoretical Biology, 2015, 387: 1-12. PDF（最有国际影响力，权威二类期刊）

[15] Jian Zu*, Jinliang Wang*, Jianqiang Du. Adaptive evolution of defense ability leads to diversification of prey species. Acta Biotheoretica, 2014, 62(2): 207-234. PDF 

[14] Jian Zu*, Jinliang Wang*. Adaptive evolution of attack ability promotes the evolutionary branching of predator species. Theoretical Population Biology, 2013, 89: 12-23. PDF

[13] Jian Zu*. Global qualitative analysis of a predator–prey system with Allee effect on the prey species. Mathematics and Computers in Simulation, 2013, 94: 33-54. PDF

[12] Jian Zu*, Yasuhiro Takeuchi. Adaptive evolution of anti-predator ability promotes the diversity of prey species: Critical function analysis. BioSystems, 2012, 109: 192-202. PDF

[11] Jian Zu*, Jinliang Wang, Yasuhiro Takeuchi. Coevolutionary dynamics of predator-prey interactions. International Journal of Biomathematics, 2012, 5 (3): 1-31 (1260015). PDF

[10] Jian Zu*, Kaifa Wang, Masayasu Mimura. Evolutionary branching and continuously stable coexistence of predator species: Critical function analysis. Mathematical Biosciences, 2011, 231: 210-224. PDF

[9] Jian Zu*, Masayasu Mimura, Yasuhiro Takeuchi. Adaptive evolution of foraging-related traits in a predator-prey community. Journal of Theoretical Biology, 2011, 268(1): 14-29. PDF（最有国际影响力，权威二类期刊）

[8] Jian Zu*, Masayasu Mimura, Joe Yuichiro Wakano. The evolution of phenotypic traits in a predator-prey system subject to Allee effect. Journal of Theoretical Biology, 2010, 262(3): 528-543. PDF（最有国际影响力，权威二类期刊）

[7] Jian Zu*, Masayasu Mimura. The impact of Allee effect on a predator-prey system with Holling type II functional response. Applied Mathematics and Computation, 2010, 217(7): 3542-3556. PDF（数学2区，Top期刊，最有国际影响力）

[6] Junkang Tian*, Dongsheng Xu, Jian Zu. Novel delay-dependent asymptotic stability criteria for neural networks with time-varying delays. Journal of Computational and Applied Mathematics, 2009, 228(1): 133-138. PDF（数学2区，Top期刊，最有国际影响力，权威二类期刊）

[5] Jian Zu*, Wendi Wang, Yasuhiro Takeuchi, Bo Zu, Kaifa Wang. On evolution under symmetric and asymmetric competitions. Journal of Theoretical Biology, 2008, 254(2): 239-251. PDF （最有国际影响力，权威二类期刊）

[4] Jian Zu, Wendi Wang*, Bo Zu. Evolutionary dynamics of prey-predator systems with Holling type II functional response. Mathematical Biosciences and Engineering, 2007, 4 (2): 221-237. PDF

[3] Jian Zu, Wendi Wang. Evolutionary dynamics of predator-prey systems subject to Allee effects. Journal of Southwest University (Natural Science Edition), 2007, 29 (4): 14-21. 

[2] Jian Zu, Bo Zu, Gang Huang. Coevolution in a predator-prey system. Proceedings of the 7th Conference on Biological Dynamic System and Stability of Differential Equation, 2010, Volume I, 479-485. (CPCI)

[1] Jian Zu, Bo Zu. Evolutionary branching and evolutionarily stable coexistence of competing specie. Proceedings of the 5th International Congress on Mathematical Biology, 2011, Vol. 2: 36-44.

（*：通讯作者；#：共同第一作者）