研究队伍

研究兴趣:

 

1. 连续、脉冲动力系统和非光滑动力系统的基本理论研究。  
2. 时间滞后对生物系统平衡态和周期解稳定性的影响,空间异质性对流行病系统阈值、疾病的控制的影响,特别是对网络及空间相关性流行病模型的研究。
3. 生态--流行病复合系统,研究种群动力学和流行病动力学的相互作用和影响。
4. 动力系统的脉冲可控稳定性理论及其在生物资源管理、流行病控制等方面的应用研究。
5. 建立国家关注的传染病如艾滋病和突发性传染病(如A/H1N1流感、Ebola)的时空模型,发展HIV的病毒动力学模型和,研究使得病毒或疾病消除的最优防治策略,为公共卫生部门提供定量的决策依据。
6. 发展统计方法,并利用实验、观察数据估计系统参数、重构系统模型以及模型选择等统计方法来细化模型,研究并预测疾病流行。

 

 

科研项目:

 

(1)     主持“网络上的流行病系统的研究1070106218万,2008-2010),(国家自然科学基金),
(2)     负责“我国艾滋病流行规律、疫情评估和预测方法研究”的子课题(艾滋病流行的时空模型研究)(2008ZX10001-00395.5万,2008-2010),(“十一五”国家科技重大专项课题)
(3)     主持“传染病模型的时空效应”(NCET-08-043050万,2009-2011),(教育部新世纪人才支持计划)
(4)     主持“空间易质性对传染病流行的影响”(2万,2009-2011),(教育部留学回国基金)
(5)     主持“传染病疫情研究中数学模型的分析与参数确定方法”(0814304240万,2011-2014),(西安交通大学基本科研业务费青年教师跟踪支持项目)
(6)     主持“个体水平的病毒动力学对传染病宏观疫情的影响研究”(1117126846万,2012-2015),(国家自然科学基金)
(7)     主持“Filippov系统在传染病动态控制中的应用研究”(1157127350万,2016-2019),(国家自然科学基金)
(8)     负责“我国艾滋病流行趋势、疫情评估和预测数学模型研究”的子课题(抗病毒治疗效果对艾滋病疫情影响的数学模型研究)(2012ZX10001-00194.3万,2012-2015),(“十二五”国家科技重大专项课题)
(9)     主持“生物数学研究生暑期学校”(1142602860万,2014年),(国家自然科学基金天元项目)
(10) 主持“生物数学研究生暑期学校”(1152602158万,2015年),(国家自然科学基金天元项目)
(11) 主持“典型疾病的多尺度生物系统动力学及数据分析”(11631012245万,2017-2021),(国家自然科学基金)

 

 

 

论文目录 (以时间为序)

 

 

1.         Xiao Y., Tang S., Chen J., Permanence and periodic solution in competitive system with feedback controls. Math.Comput.Modelling,1998,27(6): 33-37.

2.       Xiao Y., Chen L., Effects of toxicanta on a stage-structure population growth model. Appl Math. Comput. 2001, 123(1): 63-73.

3.       Xiao Y., Chen L., Modeling and analysis of a predator-prey model with disease in the prey. Math. Biosci. 2001, 171(1): 59-82.

4.      Xiao Y., Chen L., Analysis of a three species eco-epidemiological model. J. Math. Anal. Appl. 2001, 258(2): 733-754.(SCI)

5.     Xiao Y., Chen L., Dynamical behavior for a stage structure SIR infectious disease model . Nonl. Anal. RWA 2002, 3:175-286.

6.   Xiao Y., Cheng D., Tang S., Dynamic complexities in predator-prey ecosystem models with age-structure for predator. Chaos, Solitons & Fractals.2002, 14: 1403-1411.(SCI)

7.     Xiao Y., Chen L., A ratio-dependent predator-prey model with disease in the prey. Appl. Math. Comput. 2002, 131: 397-414.

8.  Xiao Y., Chen L., Global stability for a predator-prey with stage structure for the predator. 数学学报(英文版) 2003, 19(2): 1-11.

9.  Xiao Y., Van Den Bosch, F., The dynamics of an eco-epidemic model concerning biological control. Ecol. Modelling. 2003,168: 203-214.SCI

10.     Xiao Y., Bowers R., Clancy D., French N., Understanding the dynamics of Salmonella infections in dairy herds: a modeling approach. J. Theor. Biol. 2005, 233: 159-175.(SCI)

11.     Tang S., Xiao Y., Chen L., Cheke R.A., Integrated pest management models and their dynamical behaviour. Bull. Math.Biol. 2005, 67: 115-135.

12.     Tang S., Xiao Y., Clancy D., New modelling approach concerning integrated disease control and cost-effectivity. Nonl. Anal. TMA.2005,63: 439-471.

13.     Xiao Y., Cheng D., Qin H., Optimal impulsive control in periodic ecosystem. Systems & Control Letters 2006, 55: 558-565.  26.     Xiao Y., Clancy D., French N., Bowers R., A semi-stochastic model for Salmonella infection in a multigroup herd. Math Biosci. 2006, 200: 214-233. 

14.     Xiao Y., French N., Bowers R., Clancy D., Pair approximations and the inclusion of indirect transmission: theory and application to between farm transmission Salmonella. J. Theor. Biol. 2007, 244: 532-540. (SCI)

15.     Xiao Y., Bowers R., Clancy D., French N., Dynamics of infection with multiple transmission mechanisms in unmanaged/managed animal populations. Theor. Popul. Biol., 2007, 71: 408-423. (SCI)

16.     S Tang, Xiao Y., One-compartment model with Michaelis-Menten elimination kinetics and therapeutic window: an analytical approach. J Pharmacokinet Pharmacodyn, 2007, 34: 807–827. (SCI) 

17.     Tang S., Xiao Y., Cheke R.A., Multiple attractors of host-parasitoid models with integrated pest management strategies: eradication, persistence and outbreak. Theor. Popul. Biol. 2008, 73: 181–197. 

18.     唐三一, 肖燕妮, 《单种群生物动力系统》,科学出版社, 20086月, 67.7万字, 552页。

19.     Xiao Y., Bowers R.,Tang S., The effect of delayed host self-regulation on host-pathogen population cycles in forest insects. J. Theor. Biol., 2009, 258(2): 240-249. 

20.     Tang S., Cheke, R., Xiao Y., Effects of Predator and Prey Dispersal on Success or Failure of Biological Control, Bull. Math. Biol., 2009, 71: 2025–2047. (SCI)

21.     Xiao Y., A semi-stochastic model for HIV population Dynamics, I. Jour. Biomath., 2009, 2: 391-404. (SCI)

22.     Tang S., Xiao Y., Yang Y., Zhou Y., Wu J., Ma Z.,  Community based measures for mitigating the 2009 H1N1 pandemic in China. PLoS ONE, 2010, 5:1-11.

23.     Xiao Y., Tang S.Y.  Dynamics of infection with nonlinear incidence in a simple vaccination model.  Nonl. Anal. RWA. 2010, 11: 4154-4163. (SCI)

24.     Yang Y., Xiao Y., Threshold dynamics for an HIV model in periodic environments J. Math. Anal. Appl.2010, 361, 59–68.

25.     Yang Y., Xiao Y., The effects of population dispersal and pulse vaccination on disease control.  Math.Computer Modelling 2010, 52: 1591-.1604. (SCI)

26.     Xiao Y., Zhou Y., Tang S., Modelling disease spread in dispersal networks at two levels.  Math. Med. Biol., 2011, 28: 227244. (SCI)

27.     Xiao, Y., Xu, X., Tang, S., Sliding Mode Control of Outbreaks of Emerging Infectious Diseases, Bull. Math.Biol. 74(2012), 2403-2422  

28.     Wang X., Xiao Y., Wang J., Lu X., A mathematical model of effects of environmental contamination and presence of volunteers on hospital infections in China.  J. Theor. Biol., 2012, 293: 161–173. (SCI)  

29.     Yang Y., Xiao Y., Threshold dynamics for compartmental epidemic models with impulses. Nonlinear Analysis: RWA. 2012, 13: 224234. (SCI)

30.     Yang Y., Xiao Y., Wang N., Wu J.,  Optimal control control of drug therapy: Melding pharmacokinetics with viral dynamics, Biosystems, 107(2012), 174-185.

31.     Tang, S, Xiao, Y., Yuan, L., Cheke, R. A, Wu, J., Campus quarantine (Fengxiao) for curbing emergent infectious diseases: Lessons from mitigating A/H1N1 in Xi'an, China, J. Theor. Biol. 295(2012), 47-58.   (SCI, 2.49)

32.     Tang S., Xiao Y., Wang N., Wu H.,  Piecewise HIV virus dynamic model with CD4(+) T cell count-guided therapy: I, J. Theor.Biol., 308(2012), 123-134.  (SCI)

33.     Tang S., Liang J., Xiao Y.,  Sliding bifurcations of Filippov two stage pest control models with economic thresholds. SIAM Appl. Math. 72(2012), 1061-1080. (SCI)

34.     肖燕妮,周义仓,唐三一,《生物数学原理》,西安交通大学出版社,20122月。

35.     Xiao Y., Tang S., Zhou Y., R.Smith?, Wu J., Wang N.,  Predicting the HIV/AIDS epidemic and measuring the effect of mobility in mainland China. J. Theor. Biol. 2013, 317: 271285.

36.     Xiao Y., Zhao T., Tang S., Dynamics of an infectious disease with media/ psychology induced non-smooth incidence, Math Biosci Eng. 2013, 10: 445-461.

37.     Xiao Y., Miao H., Tang S., Wu H., Modeling antiretroviral drug responses for HIV-1 infected patients using differential equation models, Advanced Drug Delivery Reviews, 2013, 65: 940-953.

38.     Xu X., Xiao Y., Wang N., Modeling sexual transmission of HIV/AIDS in Jiangsu province, China, Math Method in Applied Sciences, 2013, 36: 234-248.

39.     Wang X., Xiao Y., Wang J., Lu X., Stochastic disease dynamics of a hospital infection model. Math. Biosci. 2013, 241 :115-124

40.     Zhao T., Xiao Y., Smith? R.J., Non-smooth disease models with economic thresholdsMath. Biosci. 2013, 241: 34–48.

41.     Yang Y., Xiao Y., Wu J., Pulse HIV Vaccination: Feasibility for Virus Eradication and Optimal Vaccination Schedule, Bull. Math. Biol. 2013, 75(5): 725-51.

42.     Wang Ai, Xiao Y., Sliding bifurcation and global dynamics of a Filippov epidemic model with vaccination, Inter, J. Bifurcation Chaos, 2013, 23(8) 8: 1350144.

43.     Sun X., Xiao Y., Peng Z., Wang N., Modelling HIV/AIDS Epidemic among Men Who Have Sex with Men in China, BioMed Research International, 2013, Article ID 413260.

44.     Wang Ai., Xiao Y., A Filippov system describing media effects on the spread of infectious diseases, Nonl.Anal. Hybrid Systems, 2014, 11:84-97.

45.  Xu X., Xiao Y.*, Cheke R., Models of impulsive culling of mosquitoes to interrupt transmission of West Nile Virus to birds, Applied Mathematical Modelling 2015, 39: 3549-3568.  doi:10.1016/j.apm.2014.10.072

46. Xiao Y., Tang S., Wu J., Media impact switching surface during an infectious disease outbreak, Scientific Reports (Sci. Rep. ) 5, 7838; DOI:10.1038/srep07838 (2015).

47. Shen M., Xiao Y., Rong L., Global stability of an infection-age structured HIV-1 model linking within-host and between-host dynamics, Math Biosci, 263(2015): 37-50.

48  Shen M., Xiao Y., Rong L.,  Modeling the effect of comprehensive interventions on Ebola virus transmission. Sci. Rep. 5, 15818; doi: 10.1038/srep15818 (2015).

49. Sun X., Xiao Y., Peng Z., Modelling HIV superinfection among men who have sex with men, Math Biol Eng, 2016, 13(1): 171-191.  doi:10.3934/mbe.2016.13.171

50.    Wang J., Xiao Y., Peng Z.,  Modelling seasonal HFMD infections with the effects of contaminated environments in mainland China, Appl Math and Comput, 2016, 274: 615-627.
51 . Wang J., Xiao Y., Cheke R., Modelling the effects of contaminated environments on HFMD infections in mainland China, BioSystem, 2016, 140: 1-7.
52.  Sun X., Xiao, Y. Tang S., Peng Z., Wu J., Wang N., Early HAART initiation may not reduce actual reproduction number and prevalence of MSM infection: perspectives from coupled within- and between-host modelling studies of Chinese MSM populations, PLoS One. 2016; 11(3): e0150513.  doi:  10.1371/journal.pone. 0150513
53.  Shen M., Xiao Y.,  Global Stability of a Multi-group SVEIR Epidemiological Model with the Vaccination Age and Infection Age, Acta Appl Math, 2016, DOI 10.1007/s10440-016-0044-7
 54.   Zhou W., Xiao Y., Robert Cheke, A threshold policy to interrupt transmission of West Nile Virus to birds, Appl Math Model 2016, 40: 8794-8809.
55.    Tang B., Xiao Y., Wu J., Cheke, R., A feedback control model of comprehensive therapy for treating immunogenic tumours, International Journal of Bifurcation and Chaos, 2016, 26 (3 ) 1650039.DOI: 10.1142/S0218127416500395.
56.    Tang B., Xiao Y., Wu J., A piecewise model of virus-immune system with two thresholds, Math Biosci., 2016, 278, 63-76.
57.    Tang B., Xiao Y., Tang S., Wu J., Modelling weekly vector control against Dengue in the Guangdong Province of China, J Theor. Biol., 2016, 410: 65-76.
 58.   Tang, B. Xiao Y., Wu J.,  Implication of vaccination against dengue for Zika outbreak. Sci. Rep. 6, 35623; doi: 10.1038/srep35623 (2016).