Title | Download | Journal |
A mathematical modeling study of the HIV epidemics at two rural townships in the Liangshan Prefecture of the Sichuan Province of China, (with Z. Su, C. Dong, et al.) | Infectious Disease Modeling, 2016, http://dx.doi.org/10.1016/j.idm.2016.05.001 | |
Turning points and relaxation oscillation cycles in simple epidemic models, (with W. Liu, C. Shan, and Y. Yi) | SIAM J. Appl. Math., 76, 663-687, 2016 | |
Impact of network connectivity on the synchronization and global dynamics of coupled systems of differential equations, (with P. Du) | Physica D, 287, 32-42, 2014 | |
Global Hopf bifurcation analysis of a Nicholson's blowflies equation of neutral type, (with C. Wang and J. Wei) | J Dyn. Diff. Equat., 26, 165-179, 2014 | |
Preventing tuberculosis in the foreign-born population of Canada: a mathematical modelling study, (with B. Varughese, D. Langlois-Klassen and R. Long) | Int. J. Tuberc. Lung Dis., 18(4), 405-412, 2014 | |
Global Hopf branches and multiple limit cycles in a delayed Lotka-Volterra predator-prey model, (with X. Lin and H. Wang) | DCDS-B, 19, 747-760, 2014 | |
Backward bifurcation in a mathematical model for HIV infection in vivo with anti-retroviral treatment, (with L. Wang) | Nonl. Anal. RWA, 17, 147-160, 2014 | |
Global Lyapunov functions and a hierarchical control scheme for networks of robotic agents, (with J. Maidens) | American Control Conference (ACC), 4050-4055, 2013 | |
Global Hopf bifurcation analysis of a neuron network model with time delays, (with J. Wei) | Infinite Dimensional Dynamical Systems, Fields Institute Communications, 64, 141-168, 2013 | |
Impacts of migration and immigration on disease transmission dynamics in heterogeneous populations, (with H. Guo) | DCDS-B 17, 2413-2430, 2012 | |
Stable and transient periodic oscillations in a mathematical model for CTL response to HTLV-I infection, (with J. Lang) | J. Math. Bio. 65, 181-199, 2012 | |
Joint effects of mitosis and intracellular delay on viral dynamics: two-parameter bifurcation analysis, (with H. Shu) | J. Math. Bio. 64, 1005-1020, 2012 | |
Global dynamics of a general class of multistage models for infectious diseases, (with H. Guo and Z. Shuai) | SIAM J. Appl. Math. 72, 261-279, 2012 | |
Global dynamics of a mathematical model for HTLV-I infection of CD4+ T cells with delayed CTL response, (with H. Shu) | Nonlinear Anal. Real World Appl. 13, 1080-1092, 2012. | |
Global dynamics of a staged-progression model for HIV/AIDS with amelioration, (with H. Guo) | Nonlinear Anal. RWA 12, 2529-2540, 2011. | |
Density dependence in disease incidence and its impacts on transmission dynamics, (with R. de Boer) | Canadian Applied Math. Quarterly 19, 195-218, 2011. | |
Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection, (with H. Shu) | J. Math. Biol. 73, 1774-1793, 2011. | |
Modelling the role of Tax expression in HTLV-I persistence in vivo, (with A. Lim) | Bull. Math. Bio. 73, 3008-3029, 2011. | |
Bifurcation analysis in a neutral differential equation, (with Y. Qu and J. Wei) | J. Math. Anal. Appl. 378, 387-402, 2011. | |
Modeling the effects of carriers on transmission dynamics of infectious diseases, (with D. Kalajdzievska) | Math. Biosci. & Eng. 8, 711-722, 2011. | |
Impact of intracellular delays and target-cell dynamics on in vivo viral infections, (with H. Shu) | SIAM J. Appl. Math. 70, 2434-2448, 2010. | |
Mechanisms for stable coexistence in an insect community, (with M. Fan and B. Zhang) | Math. Biosci. Eng. 7, 603 - 622, 2010. | |
Global dynamics of an in-host viral model with intracellular delays, (with H. Shu) | Bull. Math. Bio. 72, 1429-1505, 2010. | |
Global-stability problem for coupled systems of differential equations on networks, (with Z. Shuai) | J. Differential Equations 248, 1-20, 2010. | |
Global stability of multi-group epidemic models with distributed delays, (with Z. Shuai and C. Wang) | J. Math. Anal. Appl. 361, 38-47, 2010. | |
Multi-stability in a model for CTL response to HTLV-I infection and its implications to HAM/TSP development and prevention, (with H. Gomez-Acevedo and S. Jacobson) | Bull. Math. Bio. 72, 681-696, 2010. | |
Global stability of an epidemic model in a patchy environment, (with Z. Shuai) | Canadian Appl. Math. Quaerter. 17, 175-187, 2009. | |
A graph-theoretic approach to the method of global Lyapunov functions, (with H. Guo and Z. Shuai) | Proc. Amer. Math. Soc. 136, 2793-2802, 2008. | |
Global dynamics of a staged-progression model with amelioration for infectious diseases, (with H. Guo) | J. Bio. Dyn. 2, 154-168, 2008. | |
Global stability of the endemic equilibrium of multigroup SIR epidemic models, (with H. Guo and Z. Shuai) | Canadian Appl. Math. Quaert. 14, 259-284, 2006. | |
Global dynamics of a staged progression model for infectious diseases, (with H. Guo) | Math. Biosci. Eng. 3, 513-525, 2006. | |
Mathematical analysis of the global dynamics of a model for HIV infection of CD4+ T cells. (with L. Wang) | Math. Biosci. 200, 44-57, 2006. | |
Hopf bifurcation analysis for a delayed Nicholson Blowflies equation. (with J. Wei) | Nonlinear Analysis 60, 1351-1367, 2005. | |
Backward bifurcation in a model for HTLV-I infection of CD4+ T cells. (with H. Gomez-Acevedo) | Bull. Math. Bio. 67, 101-114, 2005. | |
Global existence of periodic solutions in a tri-neuron network model with delays. (with J. Wei) | Physica D 198, 106-119, 2004. | |
Asymptotic stability of travelling waves for Nicholson's blowflies equation with diffusion. (with M. Mei, J. So, and S. Shen) | Proc. Roy. Soc. Edinburgh Sect. A 134, 579-594, 2004. | |
Mathematical Analysis of the global dynamics of a model for HTLV-I infection of T cells. (with H. Gomez-Acevedo) | Canadian Appl. Math. Quart.10, 71-86, 2002. | |
Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression. (with D. Kirschner and L. Wang) | Math. Biosci. 179, 207-217, 2002. | |
Global stability in some SEIR models. (with L. Wang) | Mathematical Approaches for Emerging and Reemerging Infectious Diseases Part II: Models, Methods and Theory (Castillo-Chavez et al., eds.), IMA Volumes in Mathematics and its Applications 126, Springer-Verlag, 2002, pp. 295-311. | |
Global stability of an SEIS model with recruitment and varying total population. (with M. Fan and K. Wang) | Math. Biosci. 170, 199-208, 2001. | |
Global dynamics of an SEIR model with vertical transmission. (with H. L. Smith and L. Wang) | SIAM J. Appl. Math. 62, 58-69, 2001. | |
Diffusion-driven instability in reaction-diffusion systems. (with L. Wang) | J. Math. Anal. Appl. 254, 138-153, 2001. | |
Global dynamics of SEIR models with vertical transmission and saturation incidence. (with L. Wang) | reprint | Dynam. Sys. Appl. 3, 603-610, 2001. |
Dynamics of differential equations on invariant manifolds. (with J. S. Muldowney) | J. Differential Equations 168, 295-320, 2000. | |
A generalization of the Milloux-Hartman theorem for nonlinear systems. (with J. Karsai and J. R. Graef) | reprint | Communications in difference equations (Poznan, 1998), 203--213, Gordon and Breach, Amsterdam, 2000. |
Global stability for SEIRS models in epidemiology. (with J. S. Muldowney and P. Van den Driessche). | Canadian Appl. Math. Quart. 7, 409-425, 1999. | |
Global dynamics of a SEIR model with a varying total population size. (with J. R. Graef, L. Wang, and J. Karsai) | Math. Biosci. 160, 191-213, 1999. | |
A criterion for stability of matrices. (with L. Wang) | J. Math. Anal. Appl. 225, 249-264, 1998. | |
Poincare's stability conditions for quasi-periodic solutions. (with J. S. Muldowney) | Canadian Quart. Appl Math. 6, 367-381, 1998. | |
A study of the effects of disease caused death
in a simple
epidemic model.(with J. R. Graef and L. Wang) |
reprint | Discr. Cont. Dynam. Sys., Special vol., 288-300,1997. |
A geometric approach to global
stability problem.
(with J. S. Muldowney) |
SIAM J. Math. Anal. 27, 1070-1083, 1996. | |
Global stability for the SEIR model
in epidemiology.
(with J. S. Muldowney) |
Math. Biosci. 125, 155-164, 1995. | |
Phase asymptotic flows, Poincare's stability condition and the existence of stable limit cycles. (with J. S. Muldowney) | J. Differential Equations 124, 425-448, 1996. | |
Dulac criteria for autonomous systems having an invariant affine manifold. | J. Math. Anal. Appl. 199, 374-390, 1996. | |
Lower bounds for the Hausdorff
dimension of attractors.
(with J. S. Muldowney) |
reprint | J. Dyn. & Diff. Equat. 7, 457-469, 1995. |
Bendixson's criterion for autonomous systems having an invariant linear subspace. | Rocky Mountain J. Math. 25, 351-363, 1995. | |
On R. A. Smith's autonomous convergence
theorem.
(with J. S. Muldowney) |
Rocky Mountain J. Math. 25, 365-379, 1995. | |
On Bendixson's criterion. (with J. S. Muldowney) | J. Differential Equations 106, 27-39, 1993. |