Research Interests
Biomathematics and computer
simulation, mathematical modeling and simulation of tumor and mutation
rate of carcinogenesis, mathematical modeling and simulation of viral
and immunological dynamics, geometric theory of dynamical system.
Selected Publications
As of May 15, 2003
Zhang X., Chen L., Liang Z., The bifurcation of the
periodic solution of the polynomial vector fields. Acta Math.
Sinica (New Series), 17(3), (2001), 471-480.
Zhang X., Chen L., Neumann A.U., The stage-structured
predator-prey model and optimal harvesting policy, Mathematical
Biosciences, 168(2),(2000), 201-210.
Zhang X., Chen L., Global dynamic behavior of competing
model of three species. J. Math. Anal. Appl., 245(1), (2000),
124-141.
Liang Z., Zhang X., Yang C., The Existence of nonconstant
periodic orbits of Komolgorov system in R3. (in Chinese) Acta
Math. Sinica, 43(5), (2000), 807-812.
Zhang X., Chen L., The periodic solution of a class
of epidemic models. Computer and Mathematics with Application,
38 (No.3/4), (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 LV model (in Chinese). Systems Science
and Mathematical Sciences, 19(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.