Y. Li, S. Ruan and Z.-C. Wang, Effects of advection and diffusion on the principal eigenvalue of a periodic-parabolic operator,
Indina University Mathematical Journal (accepted)
A. Ducrot, H. Kang and S. Ruan, Age-structured models with nonlocal diffusion of Dirichlet type, II: Global dynamics,
Israel Journal of Mathematics (accepted)
A. Ducrot, H. Kang and S. Ruan, Age-structured models with nonlocal diffusion of Dirichlet type, I: Principal spectral theory
and limiting properties, Journal d'Analyse Math\'ematique (accepted).
Congratulations to Qimin Huang (Ph.D. 2018) for finding an assistant professor position at The College of Wooster, Wooster, Ohio, starting in January 2023.
Congratulations to Hao Kang (Ph.D. 2020) for finding a faculty position at Tianjin University Applied Mathematics Center, Tianjin, China, starting in July 2022.
6/2005-present: Professor, University of Miami, Coral Gables, USA
8/2002-5/2005: Associate Professor, University of Miami, Coral Gables, USA
8/2001-5/2002: Visiting Associate Professor, Vanderbilt University, Nashville, USA
7/1999-8/2002: Associate Professor, Dalhousie University, Halifax, Canada
7/1994-6/1999: Assistant Professor, Dalhousie University, Halifax, Canada
TEACHING (Fall 2024)
MTH513/613 - Partial Differential Equations
RESEARCH INTERESTS
Differential Equations, Dynamical Systems, and Mathematical Biology: (i) 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. (ii) 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. (iii) 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.
Advances in
Mathematical Biology (L. Chen, Y. Kuan, S. Ruan and G. F. Webb, Eds.), Discrete and Continuous Dynamical Systems - Series B, Special Issue,
Vol. 4, No. 3, 2004
Antonio Barreto Gondim, PhD Candidate, University of Miami
Leonardo Schultz, PhD Candidate, University of Miami
Hao Kang, PhD, University of Miami, 2020; Lecturer, Tianjin University Applied Mathematics Center, China
Wen-Bing Xu, PhD, Lanzhou University and University of Miami (co-supervision
with Wan-Tong Li), 2019; Associate Professor, Capital Normal University, Beijing, China
Ran Zhang, PhD, Harbin Institute of Technology and University of Miami (co-supervision with Shengqiang Liu), 2020; Associate Professor, Heilongjiang University, Harbin, China
Qimin Huang, PhD, University of Miami, 2018; Postdoc, Case Western Reserve University
Qiuyi Su, PhD, University of Miami, 2018; Postdoc, York University
Jing Chen, PhD, University of Miami, 2015; Assistant Professor, Nova Southeastern University, Fort Lauderdale, Florida
Juan Zhang, PhD, North University of China (co-supervision with Zhen Jin), 2015; Associate Professor, Shanxi University
Sanhong Liu, PhD, Central China Normal University (co-supervision with Xinan Zhang), 2015;
Associate Professor, Hubei University of Sciences and Technology
Lei Wang, PhD, University of Miami, 2012; Faculty member, Daytona State College, Daytona Beach, Florida
Daozhou Gao, PhD, University of Miami, 2012; Postdoc,
University of California at San Francisco Medical School, 2012-2015; Professor, Shanghai Normal University
Ying Su, PhD, Harbin Institute of Technology and University of Miami (co-supervision with Junjie Wei), 2011; Associate Professor, Harbin Institute of Technology
Lan Zou, PhD, Sichuan University and University of Miami (co-supervision with Weinian Zhang), 2010;
Associate Professor, Sichuan University
Brian Coburn, PhD, University of Miami (co-supervision with Chris Cosner), 2009; Postdoc, Center for Biomedical Modeling, UCLA, 2009-2014; Data Scientist at Cogitativo Inc., Berkeley, CA
Dan Liu, PhD, East China Normal University and University of Miami (co-supervision Deming Zhu), 2009; Associate Professor, Xidian University
Guo Lin, PhD, Lanzhou University and University of Miami (co-supervision with Wan-Tong Li), 2008; Professor, Lanzhou University
Zhi-Cheng Wang, PhD, Lanzhou University (co-supervision with Wan-Tong Li), 2007; Professor, Lanzhou University