I am interested in studying nonlinear dynamics of some kinds of differential equations, such as the center manifold theory and Hopf bifurcation in semilinear evolution equations, multiple-parameter bifurcations in delay equations, and traveling waves in nonlocal reaction-diffusion systems, which have significant applications in biology and medicine.
I am also interested in modeling and studying transmission dynamics of some infectious diseases (for instance, malaria, Rift Valley Fever in Egypt, Hepatitis B virus, Schistosomiasis, human rabies in China, Severe Acute Respiratory Syndrome (SARS), West Nile virus in US, etc.) and antibiotic-resistant bacteria infection in hospital and community.
I have been trying to model some specific medical and biological problems such as the interaction of tumor cells and immune system, hematopoiesis process with applications to chronic myelogenous leukemia, the effect of seasonal harvesting on predator-prey models, immune response to HIV and malaria infections, etc.
Education
| 1994 | Post Doctoral , McMaster University, Hamilton, Canada |
| 1993 | Junior Fields Fellow , Fields Institute, Toronto, Canada |
| 1992 | Ph.D. Applied Mathematics, University of Alberta, Edmonton, Canada |
| 1988 | M.Sc. Mathematics, Central China Normal University, Wuhan, China |
| 1983 | B.Sc. Mathematics, Central China Normal University, Wuhan, China |
Differential Equations, Dynamical Systems, and Mathematical Biology
Professional Experience
| 2005 - cur. | Professor, University of Miami |
| 2002 - 2005 | Associate Professor, University of Miami |
| 2001 - 2002 | Visiting Associate Professor, Vanderbilt University |
| 1999 - 2002 | Associate Professor, Dalhousie University |
| 1994 - 1999 | Assistant Professor, Dalhousie University |
Honors & Acknowledgements
Killam Prize at Dalhousie University in 1998
Petro-Canada Young Innovator Award in 1997
Fields Institute Junior Fellowship in 1992
Conferences & Events
| 2014 | Workshop on Mathematical Biology and Nonlinear Analysis | University of Miami |
| 2013 | The Fourth Conference on Computational and Mathematical Population Dynamics (CMPD4) | Taiyuan, China |
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Memberships
EDITORIAL BOARD
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- BMC Infectious Diseases
- Discrete and Continuous Dynamical Systems, Series B
- International Journal of Biomathematics
- International Journal of Evolution Equations
- Journal of Biological Systems
- Journal of Biomathematics
- Mathematical Biosciences
- Mathematical Biosciences and Engineering
- Scientific Reports
MATHEMATICAL INSTITUTES AND SOCIETIES
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- American Mathematical Society
- Banff International Research Station, Banff, Canada
- Canadian Applied and Industrial Mathematical Society
- Canadian Mathematical Society
- Centre de recherches mathematiques, Montreal, Canada
- Centre International de Rencontres Mathématiques, Luminy, France
- Fields Institute for Research in Mathematical Sciences, Toronto, Canada
- Institute of Mathematics and its Applications, UK
- Isaac Newton Institute for Mathematical Sciences, University of Cambridge, UK
- Mathematical Biosciences Institute, The Ohio State University, USA
- Mathematical Sciences Research Institute, University of California at Berkeley, USA
- Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany
- University of Oxford Mathematical Institute, University of Oxford, UK
- MathSciNet Research (local users only)
- Society for Industrial and Applied Mathematics
- Society for Mathematical Biology
- UK Nonlinear News
- Mathematics Journal, printed journals with internet sites
Differential Equations, Dynamical Systems, and Mathematical Biology
Research Projects
FUNDED RESEARCH PROJECTS
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- Nonlinear Dynamics in Structured Biological and Epidemiological Models (DMS-1412454), NSF, $255,000, 2014-2018.
- Nonlinear Dynamics in Structured Biological and Epidemiological Models (DMS-1022728), NSF, $240,000; 2010-2014.
- Mathematical Modeling of the Superspreaders of Antibiotic-Resistante Bacteria (R01GM083607), NIGMS/NIH, $1,399,330; 2007-2012.
- Spatial Heterogeneity, Nonlocal Interactions and Time Delay in Biological and Epidemiological Spread (DMS-0715772), NSF, $52,506; 2007-2010.
- Spatial Heterogeneity, Nonlocal Interactions and Time Delay in Epidemiological and Biological Spread (DMS-0412047), NSF, $170,300; 2004-2010 (supplementary: U.S.-China Collaboration in Mathematical Research, $40,000; 2007-2009).
- Transmission Dynamics and Spatial Spread of Infectious Diseases: Modeling, Prediction and Control, MITACS (Canada)
Publications
Q. Huang, X. Huo, D. Miller and S. Ruan " Modeling the seasonality of Methicillin-resistant Staphylococcus aureus infections in hospitals with environmental contamination" Journal of Biological Dynamics
J. Chen, J. C. Beier, R. S. Cantrell, C. Cosner, D. O. Fuller, Y. Guan, G. Zhang and S. Ruan "Modeling the importation and local transmission of vector-borne diseases in Florida: The case of Zika outbreak in 2016" Journal of Theoretical Biology 342-356455 (2018).
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