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Research Interests

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Mathematical Biology; Differetial Equations; Applied Dynamical Systems

I am broadly interested in mathmatical modeling of biological phenomena using such mathematical techniques as differential equations (ODEs, PDEs, and DDEs). Recently I have also been applying techniques from game theory to problems from mathematical epidemiology.

Publications

(preprints available by request)

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• Articles Published or Accepted in Refereed Journals
  
  
  1. Jing Li, Daniel Blakeley and Robert J. Smith?: The failure of R_0, Computational and Mathematical Methods in Medicine. Volume 2011, Article ID 527610, doi:10.1155/2011/527610
  
  
  2. Jing Li and Xingfu Zou: Dynamics of an epidemic model with non-local infections for disease with latency over a patchy environment, Journal of Mathematical Biology, 60(2010): 645-686, doi: 10.1007/s00285-009-0280-9}.
  
  
  3. Robert J. Smith?, Jing Li, Richard Gordon, Jane M. Heffernan: Can we spend our way out of the AIDS epidemic? A World Halting AIDS Model. BMC Public Health, 9(Suppl 1)(2009):S15 doi:10.1186/1471-2458-9-S1-S15. 
  
  
  4. Jing Li and Xingfu Zou: Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain. Bulletin of Mathematical Biology, 71(2009), 2048-2079.
  
  
  5. Jing Li and Xingfu Zou: Generalization of the Kermack-McKendrick SIR model to a patchy environment for a disease with latency, Mathematical Modelling of Natural Phenomena, 4(2009), No. 2, 92-118.
  
  
  6. Jing Li and Li Zhou: Existence and uniqueness of positive periodic solutions of the Logistic equations with non-local boundary conditions, Mathematica Applicata, 16(s) (2003), 155-160.
• Articles Submitted, Preprints, Manuscripts in Preparation
  
  
  1. Timothy C. Reluga and Jing Li. Games of age-dependent prevention for chronic infections by social distancing. in revision.
  2. Jing Li, Darla Lindberg, Rachel A Smith, Timothy C. Reluga. A game theory approach to infectious disease management policy through individual and government investments, under review.
  3. Jing Li, Vahid Anvari, Venkata Duwuri, Heidi So, Tasha Yovetich & Robert Smith?, A mathematical model to investigate the treatment policy for fluroquinolone drug resistance of Gonorrhea, in revision.
  4. Jing Li, Timothy C. Reluga. A mixed-strategies game theoretical approach of health commons for an infectious disease. in preparation.
• Non-Refereed Contributions
  
  
  1. Jing Li, Modeling the Dynamics of Infectious Diseases with Latency in Spatially Heterogeneous Environments, Ph.D. Thesis, University of Western Ontario, London, Ontario, Canada, 2008.
  2. Jing Li, The Positive Periodic Solutions and Numerical Solutions of Logistic Equations with Nonlocal Boundary Conditions, Master Thesis (Chinese), Huazhong University of Science and Technology, Wuhan, Hubei, P. R. China, 2003.

Invited talks in workshops, conferences, and seminars

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• 2011
  
  • Intervene or not? The theory of health commons management for infectious disease. Fall Southeastern Section Meeting, Wake Forest University, Winston-Salem, NC, USA, Sept. 24-25, 2011.
  • A game theory approach to infectious disease management policy through individual and government investments, 2011 Workshop for Young Researchers in Mathematical Biology, Mathematical Biosciences Institute, Columbus, OH, USA, Aug. 29 - Sept. 1, 2011.
  • A game theory approach examing infectious disease policy as a function of government involvement and individual investment, the SIAM student chapter seminar, Department of Mathematics, Penn State University. March 31, 2011.
  2010
  
  • Generalization of the Kermack-McKendrick SIR model to a patchy environment for a disease with latency, the Methodology Center, Penn State University, Dec. 9, 2010.
  • Can we spend out way out of the AIDS epidemic? A world halting AIDS model, CMS Summer 2010 Meeting, Fredericton, New Brunswick, Canada, June 4 - 6, 2010.
  2009
  
  • Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain, Society of Mathematical Biology Annual Meeting, Vancouver, BC, Canada, July 27-30, 2009.
  • Dynamics of an epidemic model with non-local infections for diseases with latency over a patchy environment, CAIMS 2009 Annual meeting, London, Ontario, Canada, June 10-14, 2009.
  • Generalization of the Kermack-McKendrick SIR model to a patchy environment for a disease with latency, Mathematical Immunology of Infectious Diseases, Banff, Alberta, Canada, May 17 - 22, 2009.
  2008
  
  • Dynamics of an epidemic model with non-local infections for diseases with latency over a patchy environment, CMS Winter 2008 Meeting, Ottawa, Ontario, Canada, Dec. 6 - 8, 2008.
  2006
  
  • An epidemic model with population dispersal and a fixed latent period, CMS Winter 2006 Meeting, Toronto, Ontario, Canada, Dec. 9-11, 2006.
  • The traveling wave solutions of nonlinear reaction-advection equations, International Conference on Recent Developments in Differential Equations and Applications, Guangzhou University, Guangzhou, Guangdong Province, P.R.China, July 17-21, 2006.

Copyright © 2009 Jing Li