Areas of Research

Dynamical Systems, Mathematical Biology, Epidemiology, Mathematical analysis of network architecture

Education

l Ph. D in applied mathematics (2003, Institute of Mathematics, Academy of Mathematics and Systems science, Chinese Academy of Sciences)

Advisor: Prof. Lansun Chen

Research areas: Dynamical Systems, Mathematical Biology

Doctoral thesis: Impulsive semi-dynamical systems with applications in biological resources management

l Msci. in applied mathematics (1998, Shaanxi Normal University)

Advisor: Prof. Jufang Chen

Research areas: Dynamical Systems, Mathematical Biology

Master thesis: Research on persistence and stability of delay difference equations

l Bsci. in mathematics (1993, Hubei Minzu University)

Working Experience

l Shaanxi Normal University: Professor (July 2007——)

l York University: Visiting scholar, Co-Advisor: Prof. Jianhong Wu (July 2013-January 2014)

l University of Warwick: Postdoctoral Fellow, Advisor: Prof. David Rand (October 2003-July 2007), Research areas: Mathematical analysis of network architecture: function, dynamics and noise

Conferences

1. Talk, Conference of the Society for Mathematical Biology and the Chinese Society for Mathematical Biology, Zhejiang University, Hangzhou, China, June 2009.

2. Talk, The third Conference on Computational and Mathematical Population Dynamics, Bordeaux, France, May 2010.

3. Talk, Canada-China International Conference on the Dynamics of Climate Impact and Infectious Diseases, Nanjing Normal University, Nanjing, China, December 2010.

4. Talk, Chinese Mathematical Society Annual Conference, Sichuan University, Chengdu, China, October 2011.

5. Talk, 5th International Congress of Biomathematics, Nanjing University of Science and Technology, Nanjing, China, June 2011.

6. Talk, The fourth Conference on Computational and Mathematical Population Dynamics, Taiyuan, China, May 2013.

7. Talk, Korea-Japan-China Conference on Biomathematics, Kyoto, Japan, August 2015.

8. Talk, International Meeting on the Policy-Relevant Applications of Infectious Disease Models in Asia, University of Tokyo, Japan, December 2015.

9. Talk, Annual Conference of Biomathematics Committee of Chinese Mathematical Society, Yangzhou University, Yangzhou, China, July 2016.

10. Talk, Annual Conference of Biomathematics Committee of Chinese Mathematical Society, Xiangtan University, Xiangtan, China, July 2017.

11. Talk, India-Korea-Japan-China International Conference on Biomathematics, Beijing, China, August 2019.

12. Invited lectures, Workshop and Seminar on Data Processing Methods in Canada-China Infectious Disease Modeling, Shanxi University, Taiyuan, China, May 2019.

13. Talk, Canada-China Mathematical Model of Infectious Diseases, August 2020.

Publication

(I) Theoretical Ecology

1. Sanyi Tang, Yanni Xiao, Permanence in Kolmogorov-type Systems of Delay Difference Equations. J. Diff. Equ.Appl.2001,7(2):167-181.

2. Sanyi Tang, Lansun Chen, Global qualitative analysis for a ratio-dependent predator-prey model with delay. J. Math. Anal. Appl.2002,266:402-419.

3. Sanyi Tang, Lansun Chen, Global Attractivity in a "Food-Limited" Population Model with Impulsive Effects. J. Math. Anal. Appl.2004, 292: 211-221.

4. Sanyi Tang, Lansun Chen, The effect of seasonal harvesting on stage-structured population models. J. Math. Biol., 2004, 48: 357-374.

5. Sanyi Tang, Robert A. Cheke, Yanni Xiao, Optimal impulsive harvesting on non-autonomous Beverton-Holt difference equations. TMA.2006,65:2311-2341.

6. Sanyi Tang, Yanni Xiao, Robert A. Cheke. Multiple attractors of host–parasitoid models with integrated pest management strategies: Eradication, persistence and outbreak. Theor. Popul. Biol. 2008, 73:181-197.

7. Sanyi Tang, Yanni Xiao, Robert A. Cheke. Effects of Predator and Prey Dispersal on Success or Failure of Biological Control. Bull. Math. Biol.2009, 71: 2025-2047.

8. Juhua Liang, Sanyi Tang, Robert A. Cheke. Pure Bt-crop and mixed see d sowing strategies for optimal economic profit in the face of pest resistance to pesticides and Bt-corn. Applied Mathematics and Computation 2016,283: 6-21.

9. Juhua Liang, Yaohua Zhu, Changcheng Xiang, Sanyi Tang. Travelling waves and paradoxical effects in a discrete-time growth-dispersal model. Applied Mathematical Modelling 2018, 59 :132-146.

(II) Impulsive Dynamic System and Integrated Pest Management

1. Sanyi Tang, Lansun Chen, Density-dependent birth rate, birth pulses and their population dynamic consequences. J. Math. Biol. 2002,44(2):185-199.

2. Sanyi Tang, Lansun Chen, Multiple Attractors in Stage-structured Population Models with Birth Pulses. Bull. Math. Biol. 2003, 65: 479-495.

3. Sanyi Tang, Yanni Xiao, Lansun Chen, R.A. Cheke, Integrated pest management models and their dynamical behavior. Bull. Math. Biol., 2005,67:115-135.

4. Sanyi Tang, Robert A. Cheke, Stage-dependent impulsive models of Integrated Pest Management (IPM) strategy and their dynamic consequences. J. Math Biol., 2005, 50:257-292.

5. Sanyi Tang, Robert A. Cheke. Models for integrated pest control and their biological implications. Math. Biosci. 2008，215:115-125.

6. Sanyi Tang, Guangyang Tang, Robert A. Cheke. Optimum timing for integrated pest management: Modelling rates of pesticide application and natural enemy releases. J. Theor. Biol. 2010，264:623-638.

7. Sanyi Tang, Juhua Liang, Yuanshun Tan, Cheke R.A. Threshold conditions for integrated pest management models with pesticides that have residual effects, J. Math. Biol. 2013, 66: 1-35.

8. Juhua Liang, Sanyi Tang, Nieto J., Cheke R.A. Analytical methods for detecting pesticide switches with evolution of pesticide resistance. Math. Biosci. 2013, 245 : 249–257.

9. Juhua Liang, Sanyi Tang, Cheke, R.A. , Jianhong Wu. Adaptive release of natural enemies in a pest-natural enemy system with pesticide resistance. Bull. Math. Biol. 2013,75: 2167-2195.

10. Sanyi Tang, Biao Tang, Aili Wang, Yanni Xiao, Holling II predator-prey impulsive semi-dynamic model with complex Poincare map. Nonlinear Dynamics, 2015, DOI 10.1007/s11071-015-2092-3.

11. Qianqian Zhang, Biao Tang, Sanyi Tang. Vaccination threshold size and backward bifurcation of SIR model with state-dependent pulse control. J. Theor. Biol. 2018,455: 75–85.

12. Qianqian Zhang, Biao Tang, Tianyu Cheng and Sanyi Tang. Bifurcation analysis of a generalized impulsive Kolmogorov model with applications to pest and disease control. SIAM J. Appl. Math. 2020,4:1796-1819.

13. Mengqi He, Sanyi Tang, Guangyao Tang, Changcheng Xiang. Bifurcation analysis of an ecological system with state-dependent feedback control and periodic forcing. International Journal of Bifurcation and Chaos, 2021, 31(15): 2150227.

14. Guangming Qiu, Sanyi Tang, Mengqi He. Analysis of a high-dimensional mathematical model for plant virus transmission with continuous and impulsive roguing control. Discrete Dynamics in Nature and Society, 2021: 1-26.

15. Guangming Qiu, Sanyi Tang. Dynamics of plant disease models with continuous and pulse farming awareness control. Discrete and Continuous Dynamical Systems-B, 2023, 28(4): 2490-2518.

16. Qianqian Zhang, Sanyi Tang. Bifurcation analysis of an ecological model with nonlinear state–dependent feedback control by poincaré map defined in phase set. Communications in Nonlinear Science and Numerical Simulation, 2022, 108: 106212.

(III) Non-smooth Filippov System and Application

1. Sanyi Tang, Juhua Liang, Yanni Xiao, Cheke, R.A. Sliding bifurcations of Filippov two stage pest control models with economic thresholds. SIAM J. Appl. Math.,2012, 72(4): 1061-1080

2. Sanyi Tang, Yanni Xiao, Wang, N. & Wu, H. Piecewise HIV virus dynamic model with CD4 T cell count guided therapy: I. J. Theor. Biol. 2012, 308: 123-134.

3. Sanyi Tang, Juhua Liang. Global qualitative analysis of a non-smooth Gause predator–prey model with a refuge. Nonlinear Analysis TMA. 2013, 76: 165-180.

4. Sanyi Tang, Guangyao Tang, Wenjie Qin. Codimension-1 Sliding Bifurcations of a Filippov Pest Growth Model with Threshold Policy. International Journal of Bifurcation and Chaos,2014,24: 10 (2014) 1450122.

5. Jiawei Deng, Sanyi Tang, Hongying Shu. Joint impacts of media, vaccination and treatment on an epidemic Filippov model with application to COVID-19. Journal of Theoretical Biology, 2021, 523: 110698.

6. Jiawei Deng, Sanyi Tang, Choi-Hong Lai. Non-smooth ecological systems with a switching threshold depending on the pest density and its rate of change. Nonlinear Analysis: Hybrid Systems, 2021, 42: 101094.

7. Hao Zhou, Biao Tang, Huaiping Zhu, Sanyi Tang. Bifurcation and Dynamic Analyses of Non-monotonic Predator–Prey System with Constant Releasing Rate of Predators. Qualitative Theory of Dynamical Systems, 2022, 21: 1-40.

8. Hao Zhou, Sanyi Tang. Bifurcation dynamics on the sliding vector field of a Filippov ecological system. Applied Mathematics and Computation, 2022, 424: 127052.

9. Hao Zhou, Sanyi Tang. Complex Dynamics and Sliding Bifurcations of the Filippov Lorenz–Chen System. International Journal of Bifurcation and Chaos, 2022, 32(12): 2250182.

(IV) Infectious Disease Dynamic and Emergent Infectious Disease Management

1. Sanyi Tang，Yanni Xiao et al.. Campus quarantine (Fengxiao) for curbing emergent infectious diseases: Lessons from mitigating A/H1N1 in Xi’an, China. J. Theor. Biol. 2012, 295:47-58.

2. Biao Tang, Xia Wang, Qian Li, Nicola Luigi Bragazzi, Sanyi Tang, Yanni Xiao and Jianhong Wu. Estimation of the Transmission Risk of the 2019-nCoV and Its Implication for Public Health Interventions. Journal of Clinical Medicine. 2020. doi:10.3390/jcm9020462.

3. Biao Tang, Fan Xia, Sanyi Tang, Nicola Luigi Bragazzi, Qian Li, Xiaodan Sun, Juhua Liang, Yanni Xiao, Jianhong Wu. The effectiveness of quarantine and isolation determine the trend of the COVID-19 epidemics in the final phase of the current outbreak in China. International Journal of Infectious Diseases. Volume 2020,96:636-647.

4. Sanyi Tang, Yanni Xiao, Zhihang Peng, Hongbing Shen. Prediction modeling with data fusion and prevention strategy analysis for the COVID-19 outbreak. Chinese Journal of Epidemiology, 2020, 41(4): 480-484.

5. Qinling Yan, Yingling Tang, Dingding Yan, Jiaying Wang, Linqian Yang, Xinpei Yang, Sanyi Tang. Impact of media reports on the early spread of COVID-19 epidemic. Journal of Theoretical Biology. Volume 502. (2020).

6. Xia Wang, Sanyi Tang, Yong Chen, Xiaomei Feng, Yanni Xiao, Zongben Xu, When will be the resumption of work in Wuhan and its surrounding areas during COVID-19 epidemic? A data-driven network modeling analysis. SCIENTIA SINICA Mathematica, 2020, 50(7): 969-978.

7. Sanyi Tang, Biao Tang, Nicola Luigi Bragazzi, Fan Xia, Tangjuan Li, Sha He, Pengyu Ren, Xia Wang, Changcheng Xiang, Zhihang Peng, Jianhong Wu, Yanni Xiao. Analysis of COVID-19 epidemic traced data and stochastic discrete transmission dynamic model. SCIENTIA SINICA Mathematica, 2020, 50(8): 1071-1086.

8. Xia Wang, Qian Li, Xiaodan Sun, Sha He, Fan Xia, Pengfei Song, Yiming Shao, Jianhong Wu, Robert A. Cheke, Sanyi Tang, Yanni Xiao. Effects of medical resource capacities and intensities of public mitigation measures on outcomes of COVID-19 outbreaks. BMC public health, 2021, 21(1): 1-11.

9. Duo Yu, Gen Zhu, Xueying Wang, Chenguang Zhang, Babak Soltanalizadeh, Xia Wang, Sanyi Tang, Hulin Wu. Assessing effects of reopening policies on COVID-19 pandemic in Texas with a data-driven transmission model. Infectious Disease Modelling, 2021, 6: 461-473.

10. Jie Yang, Sanyi Tang, Robert A. Cheke. Impacts of varying strengths of intervention measures on secondary outbreaks of COVID-19 in two different regions. Nonlinear Dynamics, 2021, 104: 863-882.

11. Sha He, Jie Yang, Mengqi He, Dingding Yan, Sanyi Tang, Libin Rong. The risk of future waves of COVID-19: modeling and data analysis. Mathematical Biosciences and Engineering, 2021, 18(5).

12. Weike Zhou, Yao Bai, Sanyi Tang. The effectiveness of various control strategies: An insight from a comparison modelling study. Journal of Theoretical Biology, 2022, 549: 111205.

13. Hao Wang, Di Zhu, Shiqi Li, Robert A. Cheke, Sanyi Tang, Weike Zhou. Home quarantine or centralized quarantine? A mathematical modelling study on the COVID-19 epidemic in Guangzhou in 2021. Mathematical Biosciences and Engineering, 2022, 19(9): 9060-9070.

14. Wang, Xia, Hulin Wu, Sanyi Tang. Assessing age-specific vaccination strategies and post-vaccination reopening policies for COVID-19 control using SEIR modeling approach. Bulletin of Mathematical Biology, 2022, 84(10): 108.

15. Weike Zhou, Biao Tang, Yao Bai, Yiming Shao, Yanni Xiao, Sanyi Tang, The resurgence risk of COVID-19 in China in the presence of immunity waning and ADE: A mathematical modelling study. Vaccine, 2022, 40(49): 7141-7150.

(V) Pharmacokinetics and Drug Toxicology Effect

1. Sanyi Tang，Yanni Xiao, One-compartment model with Michaelis-Menten elimination kinetics and therapeutic window: an analytical approach. J. Pharmacokin. Biopharm. 2007,34: 807–827.

2. Sanyi Tang, Juhua Liang, Xiang C, Xiao Y, Wang X, Wu J, Li G, Cheke RA. A general model of hormesis in biological systems and its application to pest management. J. R. Soc. Interface 2019,16: 20190468.

3. LinQian Yang, Jiaying Wang, Robert A. Cheke, Sanyi Tang. A universal delayed difference model fitting dose-response curves. Dose-Response, 2021, 19(4): 15593258211062785.

4. Dingding Yan, Biao Tang, Zhihang Peng, Libin Rong, Sanyi Tang. Stochastic HIV model coupled with pharmacokinetics and drug adherence may explain intermittent viral blips. Applied Mathematics Letters, 2022, 133: 108242.

5. Dingding Yan, Xiaotan Wu, Sanyi Tang. Statistical analysis of one-compartment pharmacokinetic models with drug adherence. Journal of Pharmacokinetics and Pharmacodynamics, 2022: 1-17.

(VI) Stochastic Model and Data Analysis

1. Sanyi Tang, Elizabeth A. Heron. Bayesian inference for a stochastic logistic model with switching points. Ecol. Mod. 2008, 219:153-169.

2. Qinling Yan, Sanyi Tang, Sandra Gabriele, Jianhong Wu, Media coverage and hospital notifications: Correlation analysis and optimal media impact duration to manage a pandemic. J. Theor. Bio. 2016, 390:1–13.

3. Yan Qinling, Sanyi Tang, Xiao Yanni. Impact of individual behaviour change on the spread of emerging infectious diseases. Statistics in Medicine. 2017:1–22.

4. Sanyi Tang, Qinling Yan, Wei Shi, Xia Wang, Xiaodan Sun, Pengbo Yu, Jianhong Wu, Yanni Xiao. Measuring the impact of air pollution on respiratory infection risk in China, Environmental Pollution, 2018, 232: 477-486.

5. Sha He, Sanyi Tang, Yanni Xiao，Robert A. Cheke. Stochastic Modelling of Air Pollution Impacts on Respiratory Infection Risk. Bull. Math. Biol. 2018,80:3127–3153.

6. Sha He, Sanyi Tang, Weiming Wang. A stochastic SIS model driven by random diffusion of air pollutants. Physica A 2019, 532:121759.

(VII) Mosquito-borne Disease Control

1. Zhang Xianghong, Sanyi Tang, Robert A. Cheke, Birth-pulse models of Wolbachia-induced cytoplasmic incompatibility in mosquitoes for dengue virus control. Nonlinear Analysis: Real World Applications. 2015, 22: 236–258.

2. Xianghong Zhang, Sanyi Tang, Robert A. Cheke, Models to assess how best to replace dengue virus vectors with Wolbachia infected mosquito populations. Math. Biosci. 2015, 269: 164–177

3. Xianghong Zhang. Sanyi Tang, et al. Modeling the Effects of Augmentation Strategies on the Control of Dengue Fever with an Impulsive Differential Equation. Bull. Math. Biol. 2016,78 :1968–2010.

4. Xia Wang, Sanyi Tang, Robert A. Cheke. A stage structured mosquito model incorporating effects of precipitation and daily temperature fluctuations. J. Theor. Biol. 2016, 411: 27–36

5. Sha He, Xianghong Zhang, Juhua Liang, Sanyi Tang. Multiscale modelling the effects of CI genetic evolution in mosquito population on the control of dengue fever. Scientific Reports, 2017(7)13895:1-15.

6. Xianghong Zhang, Sanyi Tang, Qiyong Liu, Robert A. Cheke, Huaiping Zhu.Models to assess the effects of non-identical sex ratio augmentations of Wolbachia-carrying mosquitoes on the control of dengue disease. Math. Biosci. 2018, 299: 58-72.

(VIII) Bioinformatics and Systems Biology

1. Akman, O.E., Locke, J.C.W., Sanyi Tang, Carré, I., Millar, A. J., Rand D. A. Isoform switching facilitates period control in the Neurospora crassa circadian clock. Mol. Sys. Biol. 2008,4:1-11.

2. Finkenstadt B., Heron, E.A., Komorowski, M., Edwards, K., Sanyi Tang, Harper C.V. et al., Reconstruction of transcriptional dynamics from gene reporter data using differential equations. Bioinformatics, 2008.

(IX) Books

1. Sanyi Tang, Yanni Xiao, Single Population Biodynamic System, Beijing: Science Press, 2008.

2. Yanni Xiao, Yicang Zhou, Sanyi Tang, Biomathematics Principle, Xi’an: Xi’an Jiaotong University Press, 2012.

3. Zhengyi Lu, Wendi Wang, Mathematical Biology Frontier, Sanyi Tang compiled Chapter 8: Gene regulatory network model, 2008(6): P:114-138.

4. Sanyi Tang, Yanni Xiao, Juhua Liang, Xia Wang, Mathematical Biology, Beijing: Science Press, 2019.

Research Grants

1. NSFC 10871122, PL, 270,000CNY, 2009.01-2011.12

2. SRF for ROCS, SEM, PL, 20,000CNY, 2009.01-2010.12

3. National Science and Technology Major Project 2008ZX10001-003, 955,000CNY, 2008.10-2010.12

4. Supported by the Fundamental Research Funds for the Central Universities GK201003001, PL, 150,000CNY, 2011.01-2013.12

5. NSFC 11171199, PL, 460,000CNY, 2012.01-2015.12

6. NSFC-NIH 81161120403, PL, 280,000CNY, 2012.01-2012.12

7. National Science and Technology Major Project 2012ZX10001001-009, 943,000CNY, 2012.01-2015.12

8. Supported by the Fundamental Research Funds for the Central Universities GK201305010, PL, 60,000CNY, 2013.01-2013.12

9. Supported by the Fundamental Research Funds for the Central Universities GK201401004, PL, 300,000CNY, 2014.01-2016.12

10. NSFC 11471201, PL, 680,000CNY, 2015.01-2018.12

11. NSFC Major Program 11631012, 2,450,000CNY, 2017.01-2021.12

12. NSFC General Program 61772017, PL, 510,000CNY, 2018.01-2021.12

13. NSFC Major Program 12031010, PL, 2,480,000CNY,2021.01-2026.12

Awards

1. Research on Hybrid Biopower Systems and Their Applications, Second Prize of Shaanxi Provincial Natural Science Award, 2015.

2. Research on Non-smooth Dynamical System Theory and Decision-making of Emergent Infectious Disease Prevention and Control, First Prize of Science and Technology in Colleges and Universities of Shaanxi Province, 2022.

Teaching

1. Undergraduate course: Mathematical Analysis, Mathematical Analysis Selection, Ordinary Differential Equation, Statistical Analysis and R Software.

2. Graduate course: Stability and Qualitative Theory of Differential Equations, Theory and Application of Impulsive Differential Theory of Equations, Biomathematics Principle, Biomathematics and Common Mathematical Software, Bayesian Analysis.