Dr. Jia Li

li jProfessor and Department Chair

Address Information

  • Office: 258A Shelby Center
  • Voice: (256) 824-6470
  • Fax: (256) 824-6173
  • E Mail: li@math.uah.edu

Education

  • Ph.D. (Math) University of Tennessee, 1987
  • M.S. (Applied Math) Huazhong University of Science and Technology, 1981

Research Interests

  • Dynamical Systems, Differential Equations, Difference Equations, Population Dynamics, Dynamics of Infectious Diseases, Environmental Modeling and Analysis, and Mathematical Ecology

Professional Experience

  • 2005 - present, Chair, Department of Mathematical Sciences, University of Alabama in Huntsville
  • 2000 - present, Professor, Department of Mathematical Sciences, University of Alabama in Huntsville
  • 2001 Spring, Visiting Professor, Department of Applied Mathematics, Xian Jiaotong University
  • 1996 Summer, Visiting Associate Professor, Biometrics Unit, Cornell University
  • 1995 - 2000, Associate Professor, Department of Mathematical Sciences, University of Alabama in Huntsville
  • 1993, Visiting Scientist and Visiting Assistant Professor, Biometrics Unit, Center for Applied Mathematics, and Mathematical Science Institute, Cornell University
  • 1992 - 2011, Consultant/Affiliate, Mathematical Modeling and Analysis Group, Theoretical Division, Los Alamos National Laboratory
  • 1990 - 1995, Assistant Professor, Department of Mathematical Sciences, University of Alabama in Huntsville
  • 1989 - 1991, Postdoctoral Fellow, Center for Nonlinear Studies, Theoretical Division, Los Alamos National Laboratory
  • 1988 - 1989, Visiting Assistant Professor, Department of Mathematics, University of Arizona
  • 1987 - 1988, Postdoctoral Research Associate and Visiting Assistant Professor, Department of Mathematics, University of Tennessee

Professional Activities

  • Associate Editor, Annals of Differential Equations
  • Associate Editor, Journal of Biological Dynamics
  • Associate Editor, Mathematical Biosciences and Engineering

Selected Recent Publications

  • Dynamics of interactive mosquito populations with two transgenes, J. Biol. Sys., 21 (2013), 1340003.1-21, (with Cuihong Yang).
  • Disease prevention is goal for UAH math chair’s mosquito-control models, UAH Research News, (2013), (with Jim Steele).
  • A mathematical model for control of vector borne diseases through media campaigns, Dis. Conti. Dyn. Sys. - B,18 (2013), 1909-1927, (with A. K. Misra and Anupama Sharma).
  • Simple discrete-time malarial models, J. Diff. Eqns. Appl.,19 (2013), 649-666.
  • Discrete-time models with mosquitoes carrying genetically-modified bacteria, Math. Biosci., 240 (2012), 35-44.
  • Mosquito-stage-structured malaria models and their global dynamics, SIAM J. Appl. Math., 72 (2012), 1223-1237, (with Shangbing Ai and Junliang Lu).
  • Modeling of transgenic mosquitoes and impact on malaria transmission, J. Biol. Dyn., 5 (2011), 474-494.
  • Malaria model with stage-structured mosquitoes, Math. Biol. Eng., Math. Biosci. Eng., 8 (2011), 753-768.
  • Dynamics of stage-structured discrete mosquito population models, J. Appl. Anal. Compt., 1 (2011), 53-67, (with Junliang Lu).
  • Modeling of mosquitoes with dominant or recessive transgenes and Allee effects, Math. Biosci. Eng., 7 (2010), 99-121.
  • Dynamical Modeling and Analysis of Epidemics, (Zhien Ma and Jia Li, Eds.), World Scientific, (2009)
  • Simple stage-structured models for wild and transgenic mosquito populations, J. Diff. Eqns. Appl., 17 (2009), 327-347.
  • Epidemic models with differential susceptibility and staged progression and their dynamics, Math. Biosci. Eng.,6 (2009), 321-332, (with J.M. Hyman).
  • Malaria models with partial immunity in humans, Math. Biosci. Eng., 5 (2008), 789-801.
  • Differential equations models for interacting wild and transgenic mosquito populations, J. Biol. Dyn., 2 (2008), 241-258.
  • Continuous-time age-structured models in population dynamics and epidemiology, In Mathematical Epidermiology, (Fred Brauer, Pauline van den Driessche, and Jianhong Wu, Eds.), Springer, Berlin, (2008), 205-227, (with Fred Brauer).
  • An extended discrete Ricker population model with Allee effects, J. Diff. Eqns. Appl.,13(2007), 309-321, (with Baojun Song and Xiaohong Wang).
  • Infection-age structured epidemic models with behavior change or treatment, J. Biol. Dyn.,1(2007), 109-131, (with J.M. Hyman).
  • Differential susceptibility and differential infectivity epidemic models, Math. Biosci. Eng.,3(2006), 89-100, (with J.M. Hyman).
  • Heterogeneity in modeling of mosquito populations with transgenic mosquitoes, J. Diff. Eqns. Appl., 11 (2005), 443-457.
  • Differential susceptibility epidemic models, J. Math. Biol.,50(2005), 626-644, (with J.M. Hyman).
  • The Reproductive number for an HIV model with differential infectivity and staged progression, Linear Algebra Appl.,398(2005), 101-116, (with J.M. Hyman).
  • Epidemiological models for mutating pathogens, SIAM J. Appl. Math.,65(2004), 1-23, (with Yicang Zhou, Zhien Ma, and J.M. Hyman).
  • Simple mathematical models for interacting wild and transgenic mosquito populations, Math. Biosci.,189 (2004), 39-59.
  • On coexistence of pathogens in a class of sexually-transmitted disease models, J. Math. Biol.,47 (2003), 547-568, (with Zhien Ma, S.P. Blythe, and C. Castillo-Chavez).
  • Stability analysis for differential infectivity epidemic models, Nonlinear Analysis: Real World Appl., 4 (2003), 841-856, (with Zhien Ma and Jianping Liu).
  • Modeling the impact of random screening and contact tracing in reducing the spread of HIV, Math. Biosci.,181 (2003), 17-54, (with J.M. Hyman and E.A. Stanley).