Shigui Ruan

Professor
Cooper Fellow

Phone:
(305) 284-2312
Locator Code:
4250
 
About
 

 

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.

Career

Education

1994Post Doctoral McMaster University, Hamilton, Canada
1993Junior Fields Fellow Fields Institute, Toronto, Canada
1992Ph.D. Applied Mathematics University of Alberta, Edmonton, Canada
1988M.Sc. Mathematics Central China Normal University, Wuhan, China
1983B.Sc. Mathematics Central China Normal University, Wuhan, China

LIST OF SPECIALTIES: Differential Equations, Dynamical Systems, and Mathematical Biology

Professional Experience

2005 - cur.Professor, University of Miami
2002 - 2005Associate Professor, University of Miami
2001 - 2002Visiting Associate Professor, Vanderbilt University
1999 - 2002Associate Professor, Dalhousie University
1994 - 1999Assistant 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
MATHEMATICAL INSTITUTES AND SOCIETIES
Research

LIST OF SPECIALTIES: Differential Equations, Dynamical Systems, and Mathematical Biology

Research Projects

FUNDED RESEARCH PROJECTS
 

 

 

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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