Research Interests
- Differential
Equations and Dynamical Systems
- Mathematical
Biology
- Applied
Mathematics
Publications
·
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,
2008.
·
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):
573-592, 2001.
·
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,
1998. (Chinese)
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).
Vita
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