Name: Xingan ZHANG, Ph. D, Professor
: Schoolof Mathematics and Statistics, Central China Normal University, Wuhan, Hubei 430079 P. R. China
2000.6 Got PhD From Institute of Mathematics, Chinese Academy of Sciences
1990.6 Got Ms From Department of Mathematics, Huazhong Normal University
2001.10-2002.10 Postdoctoral fellow in Department of Mathematics, Notre Dame University, USA
2002.10-2006.10 Postdoctoral fellow research in Biometric research Branch, National Cancer Institute, National Institutes of Health, USA
2010.9-2010.2 Research associate in Fred Hutchinson Cancer Research Center, Seattle, USA
2010.3-2010.11 Research associate in University of Pittsburgh, USA
1. Ordinary Differential Equations (a required course for college Students)
2. Qualitative Theory of Ordinary Differential Equations (a required course for graduate students).
3. Bifurcation Theory of Ordinary Differential Equations (a required course for graduate students).
4. Biological Dynamical Systems (a required course for PhD graduate students).
Research Fields and Interests (I am interested in the fields such as analysis of deterministic and un-deterministic model, biometrics and computer simulation）:
1. Geometric theory of 3-dimensional dynamical systems and dynamical properties of biological systems
2. Probability. statistics and stochastic differential equations with their application in biology
3. Mathematical modeling and computer simulation of the epidemical data of cancer
4. Infectious diseases and immunology
5. The genetic network of the embryonic stem cells
1.The application of mathematical modeling and computer simulation in cancer biology (2008.1-2010.12, No 107771081)
2.Mathematical modeling and computer simulation for the genetic networks of cancer (2011.1-2013.12, No11071275).
3.Mathematical modeling and computer simulation of the pathway of lung cancer (2014.1-2017.12, No11371161).
Zhang, J, Feng, G., Zhang, X. Mathematical modeling of tuberculosis data of China，Journal of Theoretical Biology，365(2015)159–163.
Zhang, X., Fang, Y., Zhao, Y., Zheng, W., Mathematical modeling the pathway of human breast cancer, Mathematical Biosciences, 253(2014):25-29
Li, Y., Zhang, J., Zhang, X., Modeling and Preventive Measures of HFMD in China, Int. J. Environ. Res. Public Health 2014, 11, 3108-3117; doi:10.3390/ ijerph 110303108.
Bi, P., Ruan,S.,and Zhang, X.,Periodic and chaotic oscillations in a tumor and immune system interaction model with three delays，CHAOS 24, 023101 (2014)．
Zhang, J, Feng,G., Zhang, X., The global dynamics of a class of nonlinear vector fields in R３，Electronic Journal of Qualitative Theory of Differential Equations，2014, No.50, 1–15.
Huang, G., Feng, G., Zhang, X., The Global topological structures of a class of planar cubic qusi-homogenious vector fields, Acta Mathematica Scientia 34A(2)(2014):419-425
Feng, G., Zhao, H., Zhang, X., Qualitative analysis and optimal harvesting strategy of a class predator-prey model with Holling typr II , Masthematics in Practice and Theory, 43(12)(2013), pp 191-197.
Feng, G., Yin, X., Lin, Z., Zhang, X., The Global properties of planar qusi-homogenious vector fields of degree n+1, (in Chinese) Systems Science and Mathematical Sciences, 34(4),2014: 475-487.
Li，S., Zhang, X., Dynamics of a stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response, Advances in Difference Equations 2013:19, 2013.
Li，S., Zhang, X., Qualitative analysis of a stochastic predator-prey system with disease in the predator, International Journal of Biomathematics, 6(1)：1250068, 2013.
Mathew, S., Jaramillo, M, Zhang, X., Zhang, L., Soto-Gutierrez, A., Banerjee, I., Analysis of alternative signaling pathway of endoderm induction of human embryonic stem cells identifies context specific differences, BMC System Biology, 6:154，2012.
Feng,G.,Zhang,J,.Zhang,X.(*).Qualitative study for A Class Systems with Five-molecule Reversible Biochemical Reaction Combining A Second-order Saturration.Proceedings of 2012 International Conference on Information Science and Technology, (March 23-25,2012, Wuhan,Hubei China)：5-8.
Zhang, X., Jaramillo, M., Sigh, S., Kumta, P., Banerjee, I., Analysis of the regulatory network involved in mechanical induction of embryonic stem cell differentiation, Plos One, 7(4):e35700, 2012.
Feng, G., Zhang, J., Zhang, X., Topoligical classifications of a class of cubic planar vector fields, (Chinese), Acta Math. Appl. Sinica, 35(4)(2012):756-767.
Zhao, Y., Feng, G., Zhang, X., Properties of a class of quasi-homogenous vector fields in R3. (Chinese), Journal of biomathematics, 27(2)(2012):302-310.
Feng, G., Zhang, X., Qualitative study of a class of system with multi-molecular reversible biochemical reaction combining a second-order saturation, (Chinese), Math. Appl. (Wuhan). 25(4)(2012): 810-815.
Zhang, X., Liang, Z., Chen, L., The global dynamics of a class of vector field in R3, Acta Mathematica Sinica. 27(2011), 2469-2480.
Zhang, X., Zhao, Y. and Neumann, A., Partial Immunity and Vaccination for Influenza, Journal of Computational Biology, 17(12), pp 1689-1696, 2010.
Yang, C., Liang, Z., Zhang, X.(Corresponding author), Five limit cycles for a class of quadratic systems in R 3, Chinese Journal of Contemporary Mathematics, 31(3)(2010), pp 297-306.
Feng, G., Liu, J., Zhang, X. (Corresponding author), The multiplicity of the equatorial limit cycle of a class of planar polynomial vector fields, Nonlinear Analysis-Theory Methods & Applications, 72(3-4)(2010), pp 1477-1480.
Sheng, L., Min, R., Su, W., Zhang, X. (Corresponding author), The prediction and analysis of the blood genes of human, Journal of biomathematics, 24(2)(2009), pp 260-264 (in Chinese).
Feng, G., Zhang, X., A class of infectious diseases continued survive and extinction thresholds, Masthematics in Practice and Theory, 40(13)（2010）, pp 138-143。
Feng, G., Zhang, X., The Properties of the equatorial orbit for cubic differential systems with steller node, Journal of Huazhong Normal University (Natural Sciences), 44(2)（2010）, pp 200-203 (in Chinese).
Feng, G., Zhang, X., The geometric properties of a class of quasi-homogeneous vector fields in R 2 and its tangent vector fields, Journal of Huazhong Normal University (Natural Sciences), 43(2)（2009）, pp 186-189 (in Chinese).
Zhang, X., Liang, Z., Chen, L., The global dynamics of a class of vector field in R3, Acta Mathematica Sinica. 27 (2011)
Yang, C., Ma, L., Zhang, X. (Corresponding author), Closed orbits for a class of cubic systems in R3, Proceedings of the 7th Conference on Biological Dynamics System and Stability of Differential Equations, Chongqing, P.R. China, May, 2010, 935-941.
Yang, C., Liang, Z., Zhang, X.(Corresponding author), Five limit cycles for a class of quadratic systems in R 3, Chinese Annals of Mathematics A, 31A(4)（2010）, pp 497-506(in Chinese).
Liu, J., Feng, G., Zhang, X., The global topological structure of quasi-homogeneous polunomial differential systems with degree four and star node, Journal of Huazhong Normal University (Natural Sciences), Teaching and Research, No.2, 2010, pp 1-2。
Simon, R., Zhang, X., On the dynamics of breast cancer development in women carrying germline BRCA1 and BRCA2 mutations, International Journal of Cancer, 122(8),(2008), 1916-1917.
Zhang, X., Chen, L., The linear and non-linear diffusion of the competitive Lotka-Volterra model, Nonlinear Analysis, 66(12), (2007): 2767-2776.
Zhang, X., Simon, R., Estimating the number of rate limiting genomic change for human breast cancer. Breast Cancer Research and Treatment, 91(2), (2005): 121-124.
Dahari, H., Major, M., Zhang, X., Mihalik, K., Rice, C.M., Perelson, A.S., Feinstone, S.M., Neumann, A.U., Mathematical modeling of primary hepatitis C infection: Non-cytolytic clearance and early blockage of virion production. Gastroenterology, 128(4), (2005): 1056-1066.
Zhang X., Chen L., Liang Z., The bifurcation of the periodic solution of the polynomial vector fields. Acta Math. Sinica, 17(3), (2001) (New Series):471-480.
Zhang X., Chen L., Neumann A.U., The stage-structured predator-prey model and optimal harvesting policy, Mathematical Biosciences, 168(2000): 201-210.
Zhang X., Chen L., Global dynamic behavior of competing model of three species. J. Math. Anal. Appl., 245(2000): 124-141.
Liang Z., Zhang X., Yang C., The spatial periodic solution of a class of Kolmogorov model in R3. (in Chinese) Acta Math. Sinica, 43, 2000: 807-812.
Zhang X., Chen L., The periodic solution of a class of epidemic models. Computer and Mathematics with Application, 38 (No3/4) 1999: 61-71.
Zhang X., Chen L., Liang Z., The global topological properties of homogeneous vector fields in R3. Chin. Ann. Math., 20B(2), 1999: 185-194.
Zhang X., Zhao Y., Meng X., The global properties of a class of homogeneous vector fields of degree two in R3 (in Chinese). Chin. Ann. Math. 20A(4),1999: 519-526.
Zhang X., Chen L., Liang Z., The dispersal properties of a class of predator-prey model, (in Chinese) Systems Science and Mathematical Sciences, 10(4),1999: 407-414.
Zhang X., Liang Z., The polynomial vector fields in Rn and RPn, (in Chinese) Acta Math. Sinica, 41(5), 1998: 955-964.
Chen L., Zhang X., Hilbert's 16th problem and computer algebra. Dynamical Systems and Their Applications, Korea, 1998: 17-30.
Zhang X., Liang Z., Chen L., The prey-predator systems with diffusion. (in Chinese), Bulletin Biomathematics, 1(1), 1997: 19-24.
Zhang X., Liang Z., Geometric properties of a class of cubic system with an invariant line. Systems Science and Mathematical Sciences, 9(2), 1996: 97-100.
Zhang X., Liang Z., The global topological structure of homogeneous vector fields of degree one in R3. J. Central China Normal Univ. Sci., 30(1), 1996：10-20.
Zhang X., Liang Z., The spatial periodic solution of nonlinear three species populations. (in Chinese) Chinese Science Bulletin, 40(21), 1995: 1934-1937.
Zhang X., Liang Z., The geometric properties of homogeneous polynomial vector fields. Differential Equation and Control Theory, 176, Marcel Dekker, 1995: 463-469.
