Equations and Dynamical Systems
D. Xu and Z. Feng. A
metapopulation model with local competitions, Discrete and Continuous
Dynamical Systems (Series B), 12(2): 495-511, 2009.
Z. Feng, Y. Yang, D. Xu, P. Zhang, M. McCauley,
M., J. W. Glasser. Timely
identification of optimal control strategies for emerging infectious
diseases, J. Theoretical Biology, 259: 165-171, 2009.
C. Castillo-Chavez, Z. Feng and D. Xu. A schistosomiasis model with mating
structure and time delay, Mathematical Biosciences, 211, 333-341,
Y. Yang, D. Xu, Z. Feng. Analysis of a model with multiple infectious
stages and arbitrarily distributed stage durations, Math. Model.
Nat. Phenom. 3(7), 180-193, 2008.
Z. Feng, D. Xu, H. Zhao. Epidemiological models with non-exponentially
distributed disease stages and applications to disease control,
Bulletin of Mathematical Biology, 69 (5), 1511-1536, 2007.
P. Zhang, G. Sandland, Z. Feng, D. Xu, D. J.
Minchella. Evolutionary implications for
interactions between multiple strains of host and parasite, J.
Theoretical Biology, 248, 225-240, 2007.
D. Xu, Z. Feng, L. Allen and R. K. Swihart. A spatially structured metapopulation model
with patch dynamics, J. Theo. Bio., 239, 469-481, 2006.
D. Xu, J. Curtis, Z. Feng and D. J. Minchella. On the role of schistosome mating structure in
the maintenance of resistant strains, Bulletin for Math. Bio.,
67: 1207-1226, 2005.
D. Xu, X.-Q. Zhao. Dynamics
in a periodic competitive model with stage structure, J. Math.
Anal. Appl., 311: 417-438, 2005.
D. Xu, X.-Q. Zhao. Asymptotic
speed of spread and traveling waves for a nonlocal epidemic model,
Discrete Contin. Dynam. Systems, 5: 1043-1058, 2005.
D. Xu. Global dynamics
and Hopf bifurcation of a structured population model, Nonlinear
Analysis: Real World Applications, 6: 461-476, 2005.
D. Xu, X.-Q. Zhao. Bistable waves in an epidemic model,
J. of Dynamics and Differential equations, 16: 679-707, 2004.
D. Xu, X.-Q. Zhao. A
nonlocal reaction-diffusion population model with stage structure, Canad.
Appl. Math. Quart., 11: 303-319, 2003.
Z. Jing, D. Xu, Y.
Chang, L. Chen. Bifurcations,
chaos, and system collapse in a three-node power system, International
J. of Electrical Power Energy Systems, 25, 443-461, 2003.
Z. Jing, K. Y. Chan, D. Xu, H. Cao. Bifurcations of periodic solutions and chaos
in Josephson system, Discrete Contin. Dynam. Systems, 7(3):
D. Xu, D. Meng. The model and simulation of
inhibition in the extrinsic path of blood coagulation: the dynamic
effects of protein C, Acta Biophysica Sinica, 14: 657-665,
Finished or on-going projects
D. Xu, J. D. Reeve, X. Wang and M.-Q. Xiao. Developmental variability and stability
in continuous-time host-parasitoid models. Submitted to Theoretical
Population Biology, 2009. (the paper available upon email requests)
M.-Q. Xiao, J. D. Reeve and D. Xu. Mean occupancy time for biased edge movement
between two different habitat types. Submitted to Mathematical
Biosciences, 2009. (the paper available upon email requests)
Y. Chang, D. Xu and Z. Jing. Complex dynamics in swing equations of a
power system model. Submitted to IEEE Transactions on Circuit and
Systems II, 2009. (the paper available upon email requests)
The role of tuberculosis in high HIV prevalence
populations. In preparation (with Z. Feng and M. Lannelli).
The role of drug treatments in the evolutionary
dynamics of complex host-parasite interactions. In preparation (with Z.
Feng, G. Sandland, D. J. Minchella, Y. Yang).