Keng Deng
Professor

Contact:
Office: 455 Maxim Doucet
Phone: 337-482-5297
E-mail: deng@louisiana.edu
Home page: http://www.ucs.louisiana.edu/~kxd5858

Degrees:
Ph.D. 1990 Iowa State University
M.S. 1984 Huazhong University of Science and Technology, PRC
B.S. 1981 Wuhan University of Technology, PRC

Statement:
My current research interests are in applied mathematics and nonlinear partial differential equations.

Selected research publications:

• On a nonlinear size-structured phytoplankton-zooplankton aggregation model (with A. S. Ackleh and S. Hu), Dynamics Contin. Discrete Impuls. Systems, ser. A, 14 (2007), 265-285.
• Asymptotic behavior of solutions to a nonlinear size-structured population model (with A.S. Ackleh and X. Wang), Internat. J. Info. Systems Sci., 2 (2006), 316-325.
• A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate (with A. S. Ackleh, K. Ito, and J. Thibodeaux), Math. Biosci., 204 (2006), 21-48.
• Existence-uniqueness and monotone approximation for a phytoplankton-zooplankton aggregation model (with A. S. Ackleh and X. Wang), Z. Angew. Math. Phys. , 57 (2006), 733-749.
• Global existence and blow-up for a system of nonlocal wave equations, Mathematica Applicata, 18 (2005), 181-187.
• Parameter estimation in a coupled system of nonlinear size-structured populations (with A. S. Ackleh, H. T. Banks, and S. Hu), Math. Biosci. Engineering, 2 (2005), 289-315.
• Monotone approximation for a hierarchical age-structured population model (with A. S. Ackleh), Dynamics Contin. Discrete Impuls. Systems, ser. B, 12 (2005), 203-214.
• Instability of solutions of a semilinear heat equation with a Neumann boundary condition (with C.L. Zhao), Quart. Appl. Math., 63 (2005), 13-19.
• A quasilinear hierarchical size structured model: well-posedness and approximation (with A. S. Ackleh and S. Hu), Appl. Math. Optim. , 51 (2005), 35-59.
• Competitive exclusion and coexistence in a quasilinear size-structured population model (with A. S. Ackleh and X. Wang), Math. Biosci. , 192 (2004), 177-192.
• On critical exponent for the Schrodinger equation with a nonlinear boundary condition (with A. S. Ackleh), Differential Integral Equations, 17 (2004), 1293-1307.
• Survival of the fittest in a quasilinear size-structured population model (with A. S. Ackleh), Natural Resource Modeling, 17 (2004), 213-228.
• Existence and nonexistence of global solutions of a nonlocal wave equation (with A.S. Ackleh), Math. Methods Appl. Sci., 27 (2004), 1747-1754.
• Existence-uniqueness and monotone approximation for an erythropoiesis age-structured model (with A. S. Ackleh, C. Cole, and H. Tran), J. Math. Anal. Appl., 289 (2004), 530-544.
• A numerical method for a nonlocal hyperbolic model arising from a reliability system (with A. S. Ackleh, J. Derouen, and W. Li), Comp. Math. Appl., 47 (2004), 135-147.
• Existence-uniqueness results for a system of integral equations arising from a reliability model (with A. S. Ackleh), Comm. Appl. Nonlinear Anal., 10 (2003), 23-32.
• On a first order hyperbolic coagulation model (with A. S. Ackleh), Math. Methods Appl. Sci., 26 (2003), 703-715.
• Solvability of a nonlocal hyperbolic model arising from a reliability system (with A. S. Ackleh and W. Li), IMA J. Appl. Math., 68 (2003), 135-148.
• Blow-up versus quenching (with C.-L. Zhao), Comm. Appl. Anal., 7 (2003), 87-100.
• Numerical investigation of quenching for a nonlinear diffusion equation with a singular Neumann boundary condition (with C. I. Christov), Numer. Methods Partial Differential Equations, 18 (2002), 429-440.