Publications

  Home
  Curriculum Vitae
  Research
  Pubications
  Teaching
  Useful Links

Refereed Journal Publications

  1. A New Derivative Free Optimization Method Based on Conic Interpolation Model (with Q. Ni), Acta Mathematica Scientia Series B, English edition, 24 (2004) 281-290.
  2. A Quasilinear Hierarchical Size Structured Model: Well-Posedness and Approximation (with A.S. Ackleh and K. Deng), Applied Mathematics and Optimization, 51 (2005) 35-59.
  3. Parameter Estimation in a Coupled System of Nonlinear Size-Structured Populations (with A.S. Ackleh, H.T. Banks, and K. Deng), Mathematical Biosciences and Engineering, 2 (2005) 289-315.
  4. A Hierarchical Bayesian Approach for Parameter Estimation in HIV Models (with H.T. Banks, S.L. Grove, and Y. Ma), Inverse Problems, 21 (2005) 1803-1822.
  5. Modeling Shrimp Biomass and Viral Infection for Production of Biological Countermeasures (with H.T. Banks, V.A. Bokil, A.K. Dhar, R.A. Bullis, C.L. Browdy and F.C.T. Allnutt), Mathematical Biosciences and Engineering, 3 (2006) 635-660.
  6. Monotone Approximation for a Nonlinear Size and Class Age Structured Epidemic Model (with H.T. Banks and V.A. Bokil), Nonlinear Analysis: Real World Applications, 8 (2007) 834--852.
  7. On a Nonlinear Size-Structured Phytoplankton-Zooplankton Aggregation Model (with A.S. Ackleh and K. Deng), Dynamics of Continuous, Discrete and Impulsive Systems, Series A, 14 (2007) 265-285.
  8. Comparison Between Stochastic and Deterministic Selection-Mutation Models (with A.S. Ackleh), Mathematical Biosciences and Engineering, 4 (2007) 133-157.
  9. Modeling HIV Immune Response and Validation with Clinical Data (with H.T. Banks, M. Davidian, G.M. Kepler and E.S. Rosenberg), Journal of Biological Dynamics, 2 (2008) 357-385.
  10. Sensitivity Equations for a Size-Structured Population Model (with H.T. Banks and S.L. Ernstberger), Quarterly of Applied Mathematics, 67 (2009) 627--660.
  11. A Comparison of Probabilistic and Stochastic Formulations in Modeling Growth Uncertainty and Variability (with H.T. Banks, J.L. Davis, S.L. Ernstberger, A.K. Dhar, C.L. Browdy and E. Artimovich), CRSC-TR08-03, Center for Research in Scientific Computation, North Carolina State University, 2008. Journal of Biological Dynamics, 3 (2009) 130-148.
  12. Experimental Design and Estimation of Growth Rate Distribution in Size-Structured Shrimp Populations (with H.T. Banks, J.L. Davis, S.L. Ernstberger, E. Artimovich, and A.K. Dhar), Inverse Problems, 25 (2009) 095003.
  13. Electromagnetic Interrogation and the Doppler Shift Using the Method of Mappings (with H.T. Banks and W.C. Thompson), Mathematical and Computer Modelling, 51 (2010), 389-399.
  14. A Comparison of Nonlinear Filtering Approaches in the Context of an HIV Model (with H.T. Banks, Z.R. Kenz and H.T. Tran), Mathematical Biosciences and Engineering, 7 (2010), 213-236.
  15. A Brief Review of Elasticity and Viscoelasticity for Solids (with H.T. Banks and Z.R. Kenz), Advances in Applied Mathematics and Mechanics, 3 (2011), 1-51.
  16. Dynamic Evasion-Interrogation Games with Uncertainty in the Context of Electromagetics (with H.T. Banks, K. Ito and S.G. Muccio), CRSC-TR10-13, Center for Research in Scientific Computation, North Carolina State University, 2010; Numerical Mathematics: Theory, Methods and Applications, 4 (2011), 359-378.
  17. Host Immune Responses That Promote Initial HIV Spread (with K. Wendelsdorf, G. Dean, S. Nordone, and H.T. Banks), CRSC-TR10-18, Center for Research in Scientific Computation, North Carolina State University, December, 2010; Journal of Theoretical Biology, 289 (2011), 17-35.
  18. Nonlinear Stochastic Markov Processes And Modeling Uncertainty In Populations (with H.T. Banks), CRSC-TR11-02, Center for Research in Scientific Computation, North Carolina State University, January, 2011; Mathematical Biosciences and Engineering, 9 (2012), 1-25.
  19. Modeling and Optimal Control of Immune Response of Renal Transplant Recipients (with H.T. Banks, T. Jang and H.-D. Kwon), CRSC-TR11-07, Center for Research in Scientific Computation, North Carolina State University, July, 2011; Journal of Biological Dynamics, accepted.

Book Chapters and Conference Proceedings

  1. A Computational Comparison of Alternatives to Including Uncertainty in Structured Population Models (with H.T. Banks and J.L. Davis), CRSC-TR09-14, Center for Research in Scientific Computation, North Carolina State University, June, 2009; in Three Decades of Progress in Control Sciences (X. Hu, U. Jonsson, B. Wahlberg and B. Ghosh, eds), Springer, 2010, pp. 19-33.

Submitted Manuscripts

  1. A Zero-Sum Electromagnetic Evader-Interrogator Differential Game with Uncertainty (with H.T. Banks), CRSC-TR11-04, Center for Research in Scientific Computation, North Carolina State University, February, 2011.
  2. Propagation of Uncertainty in Dynamical Systems (with H.T. Banks), CRSC-TR11-11, Center for Research in Scientific Computation, North Carolina State University, October, 2011.
  3. A Comparison of Computational Efficiencies of Stochastic Algorithms in Terms of Two Infection Models (with H.T. Banks, M. Joyner, A. Broido, B. Canter, K. Gayvert and K. Link), CRSC-TR11-13, Center for Research in Scientific Computation, North Carolina State University, October, 2011.
  4. Simulation Algorithms for Continuous Time Markov Chain Models (with H.T. Banks, A. Broido, B. Canter, K. Gayvert, M. Joyner and K. Link), CRSC-TR11-17, Center for Research in Scientific Computation, North Carolina State University, December, 2011.

Technical Reports

  1. A Two-Player Zero-Sum Electromagnetic Differential Game with Uncertainty (with H.T. Banks), CRSC-TR10-15, Center for Research in Scientific Computation, North Carolina State University, September, 2010.

Ph.D. Dissertation and M.S. Thesis

  1. Structured Population Models: Well-posedness, Approximation and Parameter Estimation, Department of Mathematics, University of Lousiana at Lafayette, Lafayette, LA, December 2004.
    Advisors: Dr. Azmy S. Ackleh and Dr. Keng Deng
  2. Direct Search Methods for Nonlinear Optimization Programming (Chinese), College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, P.R.China, March 2001.
    Advisor: Dr. Qin Ni