科研方向
Partial Differential Equations and Its Applications, in particular, Free Boundary Problems in Mathem
科研成果
Qian Guo, Youshan Tao and Kazuyuki Aihara: Mathematical modelling of prostate tumor growth under intermittent androgen suppression with partial differential equations, International Journal of Bifurcation and Chaos （IJBC), （accepted)?[33] Youshan Tao and Qian Guo: A mathematical model of combined therapies against cancer using viruses and inhibitors, Sci. China Ser. A （2008) （accepted).?
[32] Xifeng Tang and Youshan Tao: Analysis of a chemotaxis model for multi-species host-parasitoid interactions, Appl. Math. Sci. 2 （2008), 1239-1252.
[31] Youshan Tao and Guo Zhu: Global solution to a model of tumor invasion, Appl. Math. Sci. 1 （2007), 2385-2398.?
[30] Youshan Tao and Qian Guo: A free boundary problem modelling cancer radiovirotherapy, Math. Mod. Meth. Appl. Sci. 17 （2007), 1241-1259.?
[29] Youshan Tao and Hui Zhang: A parabolic-hyperbolic free boundary problem modelling tumor treatment with virus, Math. Mod. Meth. Appl. Sci. 17 （2007), 63-80.?
[28] Youshan Tao and Norio Yoshida: Oscillation criteria for hyperbolic equations with distributed deviating arguments, Indian J. Pure and Appl. 37（5) （2006), 291-305.?
[27] Youshan Tao and Yan Yang: Analysis of a model of tumor invasion, Far J. Appl. Math. 24 （2006), 177-192.?
[26] Youshan Tao and Qian Guo: Simulation of a model of tumors with virus-therapy,International Series of Numerical Mathematics, Vol. 154 （2006), 435-444, Birkh user Verlag Basel/Switzerland.?
[25] Youshan Tao and Miaojun Chen: An elliptic-hyperbolic free boundary problem modelling cancer therapy, Nonlinearity 19 （2006), 419-440.?
[24] Youshan Tao and Qian Guo: Analysis and simulation of a model for intracellular drug accumulation in tumors, Applied Mathematics and Computation 176 （2006), 577-593.?
[23] Youshan Tao: Mathematical analysis of a model of a replication-competent virus in tumor cells, Acta Mathematical Scientia （Ser. A) 26 （2006), 183-199. （in Chinese)?
[22] Youshan Tao and Norio Yoshida: Oscillation of nonlinear hyperbolic equations with distributed deviating arguments, Toyama Math. J. 28 （2005), 27-40.?
[21] Youshan Tao and Qian Guo: The competitive dynamics between tumor cells, a replication-competent virus and an immune response, J. Math. Biology 51（2005), 37-74.?
[20] Youshan Tao, Norio Yoshida and Qian Guo: Nonlinear analysis of a model of vascular tumor growth and treatment, Nonlinearity 17 （2004), 867-895.?
[19] Avner Friedman and Youshan Tao: Analysis of a model of a virus that replicates selectively in tumor cells. J. Math. Biology 47（2003), 391-423.?
[18] Avner Friedman and Youshan Tao: Nonlinear stability of the Muskat problem with capillary pressure at the free boundary, Nonlinear Analysis 53（2003),45-80.?
[17] Youshan Tao and Guozhu Gao: Existence,uniqueness and approximation of classical solutions to nonlinear two-point boundary?value problems, Nonlinear Analysis 50 （2002),981-994.
