Azmy S. Ackleh
Professor
Dr. Ray P. Authement Eminent Scholar Endowed Chair in Computational Mathematics

Contact:
Office: 205a Maxim Doucet
Phone: 337-482-6709
E-mail: ackleh@louisiana.edu
Home page: http://www.ucs.louisiana.edu/~asa5773/

Degrees:
Ph.D. 1993 University of Tennessee at Knoxville
M.S. 1990 University of Tennessee at Knoxville
B.S. 1988 Cumberland College

Statement:
My main research interests are modeling in population and community ecology, long time behavior of solutions to such models, numerical methods, and inverse problems for partial differential equations.

Selected research publications:

• A Monotone Approximation for a Size-Structured Population Model with a Generalized Environment (with K. Deng and J. Thibodeaux), Journal of Biological Dynamics, to appear (2007).
• A Three-Stage Discrete-Time Population Model: Seasonal Versus Continuous Reproduction (with Y. Dib and S. Jang), Journal of Biological Dynamics, to appear (2007).
• Population estimates of Hyla cinerea (Schneider) in an urban environment (with S. Karhbet, B. Price, J. Carter, and N. Pal), Southeastern Naturalist, 6 (2007), 203-216.
• On a Nonlinear Size-Structured Phytoplankton-Zooplankton Aggregation Model (with K. Deng, S. Hu), Dynamics of Continuous, Discrete and Impulsive Systems, Series A, 14 (2007), 265-285.
• Establishing a beachhead: A Stochastic Population Model with an Allee Effect Applied to Species Invasion (with L.J.S. Allen and J. Carter), Theoretical Population Biology, 71 (2007), 290-300.
• A Discrete Two-Stage Population Model: Continuous Versus Seasonal Reproduction (with S. Jang), Journal of Difference Equations and Applications, 13 (2007), 261-274.
• Competitive Exclusion and Coexistence in a Nonlinear Refuge-Mediated Selection Model (with Y. Dib and S. Jang), Discrete and Continuous Dynamical Systems Series B, 7 (2007), 683-698.
• Comparison between Stochastic and Deterministic Selection-Mutation Models (with S. Hu), Mathematical Biosciences and Engineering, 4 (2007), 133-157.
• Asymptotic Behavior of Solutions to a Nonlinear Size-Structured Population Model (with K. Deng, X.Wang), International Journal of Information and System Sciences, 2 (2006), 316-325.
• Structured Erythropoiesis Model with Nonlinear Cell Maturation Velocity and Hormone Decay Rate (with K. Deng, K. Ito and J.J. Thibodeaux), Mathematical Biosciences, 204 (2006), 21-48.
• Existence-Uniqueness and Monotone Approximation for a Phytoplankton-Zooplankton Aggregation Model (with K. Deng and X. Wang), Zeitschrift für Angewandte Mathematik und Physik, 57 (2006), 733-749.
• Measure-Valued Solutions for a Hierarchically Size-Structured Population (with K. Ito), Journal of Differential Equations, 217 (2005), 431-455.
• Discrete-Time, Discrete Stage-Structured Predator-Prey Models (with S. Jang), Journal of Difference Equations and Applications, 11 (2005), 399-413.
• Rate Distributions and Survival of the Fittest: A Formulation on the Space of Measures (with B.G. Fitzpatrick and H.R. Thieme), Discrete and Continuous Dynamical Systems Series B, 5 (2005), 917-928.
• Parameter Estimation in a Coupled System of Nonlinear Size-Structured Populations (with H.T. Banks, K. Deng and S. Hu), Mathematical Biosciences and Engineering, 2 (2005), 289-315.
• Monotone Approximation for a Hierarchical Age-Structured Population Model (with K. Deng), Dynamics of Continuous, Discrete and Impulsive Systems, Series B, 12 (2005), 203-214.
• Competitive Exclusion in SIS and SIR Epidemic Models with Total Cross Immunity and density-Dependent Host Mortality (with L.J.S. Allen), Discrete and Continuous Dynamical Systems Series B, 5 (2005), 175-188.
• Hierarchical Size Structured Model: Well-Posedness and Approximation (with K. Deng and S. Hu), Applied Mathematics and Optimization, 51 (2005), 35-59.
• Competitive Exclusion and Coexistence in a Quasilinear Size-Structured Population Model (with K. Deng and X. Wang), Mathematical Biosciences, 192 (2004), 177-192.
• On Critical Exponents for the Schrodinger Equation with a Nonlinear Boundary Condition (with K. Deng), Differential and Integral Equations, 17 (2004), 1293-1307.