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Email:ackleh@louisiana.edu
Phone:(337) 482-6709
Fax:(337) 482-5346
Azmy S. Ackleh
Department of Mathematics
University of Louisiana at Lafayette
Lafayette, LA 70504-1010

JOURNAL PUBLICATIONS

  1. J.E. Banks, A.S. Ackleh and J. Stark, The Use of Surrogate Species in Risk Assessment: Using Life History Data to Safeguard Against False Negatives. Risk Analysis, accepted for publication.
  2. A.S. Ackleh and R. A. Chiquet, Competitive Exclusion in a Discrete Juvenile-Adult Model with Continuous and Seasonal Reproduction. Journal of Difference Equations and Applications, accepted for publication.
  3. A.S. Ackleh, J. Carter , L. Cole , T. Nguyen, J. Monte and C. Pettit, Measuring and Modeling the Seasonal Changes of an Urban Green Treefrog (Hyla cinerea) Population. Ecological Modeling, accepted for publication.
  4. A.S. Ackleh and P. Zhang, Competitive Exclusion in a Discrete Stage-Structured Two Species Model. Mathematical Modelling of Natural Phenomenon, accepted for publication.
  5. R. Scribner, A.S. Ackleh, B.G. Fitzpatrick, G. Jacquez, J. Thibodeaux, R. Rommel, and N. Simonsen, Ecosystem Modeling of College Drinking: Development of a Deterministic Model for Testing Alcohol Control Policies. Journal of Studies on Alcohol and Drugs, 70(2009), 805-821.
  6. A.S. Ackleh, B.G. Fitzpatrick, S. Scribner, N. Simonsen, J. Thibodeaux, Ecosystem Modeling of College Drinking: Parameter Estimation and Comparing Models to Data. Mathematical and Computer Modelling, 50(2009), 481-497.
  7. A.S. Ackleh and K. Deng, A Nonautonomous Juvenile-Adult Model: Well-Posedness and Long-Time Behavior via a Comparison Principle. SIAM Journal on Applied Mathematics, 69(2009), 1644-1661.
  8. S. Pathikonda, A.S. Ackleh, K. H. Hasenstein, S. Mopper, Invasion, Disturbance, and Competition: Modeling the Fate of Coastal Plant Populations. Conservation Biology, 23(2009), 164-173.
  9. A.S. Ackleh and R. Chiquet, The Global Dynamics of a Discrete Juvenile-Adult Model with Continuous and Seasonal Reproduction. Journal of Biological Dynamics, 3(2009), 101-115.
  10. A.S. Ackleh and P. DeLeenheer, Discrete Three-Stage Population Model: Persistence and Global Stability Results. Journal of Biological Dynamics, 2(2008), 415-427.
  11. A.S. Ackleh and J.J. Thibodeaux, Parameter Estimation in a Structured Erythropoiesis Model. Mathematical Biosciences and Engineering, 5(2008), 601-616.
  12. A.S. Ackleh, K. Deng and J. Thibodeaux, A Monotone Approximation for a Size-Structured Population Model with a Generalized Environment. Journal of Biological Dynamics, 1(2007), 291-304.
  13. A.S. Ackleh, Y. Dib and S. Jang, A Three-Stage Discrete-Time Population Model: Seasonal Versus Continuous Reproduction. Journal of Biological Dynamics, 1(2007), 305-319.
  14. L. Pham, S. Boudreaux, S. Karhbet, B. Price, A. S. Ackleh, J. Carter, and N. Pal, Population estimates of Hyla cinerea (Schneider) (Green Treefrog) in an urban environment. Southeastern Naturalist, 6(2007), 203-216
  15. A.S. Ackleh, K. Deng, S. Hu, On a Nonlinear Size-Structured Phytoplankton-Zooplankton Aggregation Model. Dynamics of Continuous, Discrete and Impulsive Systems, Series A, 14(2007), 265-285.
  16. A. S. Ackleh, L.J.S. Allen and J. Carter, Establishing a beachhead: A Stochastic Population Model with an Allee Effect Applied to Species Invasion. Theoretical Population Biology, 71(2007), 290-300.
  17. A.S. Ackleh and S. Jang, A Discrete Two-Stage Population Model: Continuous Versus Seasonal Reproduction. Journal of Difference Equations and Applications, 13(2007), 261-274.
  18. A.S. Ackleh, Y. Dib and S. Jang, Competitive Exclusion and Coexistence in a Nonlinear Refuge-Mediated Selection Model. Discrete and Continuous Dynamical Systems Series B, 7(2007), 683-698.
  19. A.S. Ackleh and S. Hu, Comparison between Stochastic and Deterministic Selection-Mutation Models. Mathematical Biosciences and Engineering, 4(2007), 133-157.
  20. A.S. Ackleh, K. Deng, X. Wang, Asymptotic Behavior of Solutions to a Nonlinear Size-Structured Population Model. International Journal of Information and System Sciences, 2(2006), 316-325.
  21. A.S. Ackleh, K. Deng, K. Ito and J.J. Thibodeaux, A Structured Erythropoiesis Model with Nonlinear Cell Maturation Velocity and Hormone Decay Rate. Mathematical Biosciences, 204(2006) 21-48.
  22. A.S. Ackleh, K. Deng and X. Wang, Existence-Uniqueness and Monotone Approximation for a Phytoplankton-Zooplankton Aggregation Model. Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 57(2006), 733-749.
  23. A.S. Ackleh and K. Ito, Measure-Valued Solutions for a Hierarchically Size-Structured Population. Journal of Differential Equations, 217(2005), 431-455.
  24. S. Jang and A.S. Ackleh, Discrete-Time, Discrete Stage-Structured Predator-Prey Models. Journal of Difference Equations and Applications, 11(2005), 399-413.
  25. A.S. Ackleh, B.G. Fitzpatrick and H.R. Thieme, Rate Distributions and Survival of the Fittest: A Formulation on the Space of Measures. Discrete and Continuous Dynamical Systems Series B, 5(2005), 917-928.
  26. A.S. Ackleh, H.T. Banks, K. Deng and S. Hu, Parameter Estimation in a Coupled System of Nonlinear Size-Structured Populations. Mathematical Biosciences and Engineering, 2(2005), 289-315.
  27. A.S. Ackleh and K. Deng, Monotone Approximation for a Hierarchical Age-Structured Population Model. Dynamics of Continuous, Discrete and Impulsive Systems, Series B,12(2005), 203-214.
  28. A.S. Ackleh and L.J.S. Allen, Competitive Exclusion in SIS and SIR Epidemic Models with Total Cross Immunity and density-Dependent Host Mortality. Discrete and Continuous Dynamical Systems Series B, 5(2005), 175-188.
  29. A.S. Ackleh, K. Deng, and S. Hu, A Quasilinear Hierarchical Size Structured Model: Well-Posedness and Approximation. Applied Mathematics and Optimization, 51(2005), 35-59.
  30. A.S. Ackleh, K. Deng, and X. Wang, Competitive Exclusion and Coexistence in a Quasilinear Size-Structured Population Model. Mathematical Biosciences, 192(2004), 177-192.
  31. A.S. Ackleh and K. Deng, On Critical Exponents for the Schrodinger Equation with a Nonlinear Boundary Condition. Differential and Integral Equations, 17(2004), 1293-1307.
  32. A.S. Ackleh and K. Deng, Existence and Nonexistence of Global Solutions of a Nonlocal Wave Equation. Mathematical Methods in the Applied Sciences, 27(2004), 1747-1754.
  33. A.S. Ackleh and K. Deng, Survival of the Fittest in a Quasilinear Size-Structured Population Model. Natural Resource Modelling,17(2004), 213-228.
  34. A.S Ackleh, K. Deng, C. Cole and H. Tran, Existence-Uniqueness and Monotone Approximation for an Erythropoiesis Age-Structured Model. Journal of Mathematical Analysis and Applications, 289(2004), 530-544.
  35. A.S. Ackleh, K. Deng, J. Derouen and W. Li, A Numerical Method for a Nonlocal Hyperbolic Model Arising from a Reliability System. Computers and Mathematics with Applications, 47(2004), 135-147.
  36. A.S. Ackleh and K. Deng, Existence-Uniqueness Results for a System of Integral Equations Arising from a Reliability Model. Communications on Applied Nonlinear Analysis, 10(2003), 23-32.
  37. A.S. Ackleh and L.J.S. Allen, Competitive Exclusion Principle for Pathogens in an Epidemic Model with Variable Population Size. Journal of Mathematical Biology, 47(2003), 153-168.
  38. A.S. Ackleh and K. Deng, On a First Order Hyperbolic Coagulation Model. Mathematical Methods in the Applied Sciences, 26(2003), 703-715.
  39. A.S. Ackleh, K. Deng and W. Li, Solvability of a Nonlocal Hyperbolic Model Arising from a Reliability System. IMA Journal of Applied Mathematics, 68(2003), 135-148.
  40. A.S. Ackleh, H.T. Banks and K. Deng, A Difference Approximation for a Coupled System of Nonlinear Size-Structured Populations. Nonlinear Analysis, 50(2002), 727-748.
  41. A.S. Ackleh, H.T. Banks and G.A. Pinter, Well-Posedness Results for Models of Elastomers. Journal of Mathematical Analysis and Applications, 268(2002), 440-456.
  42. A.S. Ackleh, On the Unique Solvability of a Nonlinear Functional Evolution Equation. Journal of Mathematical Analysis and Applications, 267(2002), 522-530.
  43. A.S. Ackleh, H.T. Banks and G.A. Pinter, A Nonlinear Beam Equation. Applied Mathematics Letters, 15(2002), 381-387.
  44. A.S. Ackleh and K. Deng, Global Existence and Blow-up for a System of Wave Equations Coupled in the Boundary Conditions. Dynamics of Continuous, Discrete and Impulsive Systems, 8(2001), 415-423.
  45. A.S. Ackleh and K. Deng, Existence and Nonexistence of Global Solutions of the Wave Equations with a Nonlinear Boundary Condition. Quarterly of Applied Mathematics, 59(2001), 153-158.
  46. A.S. Ackleh and K. Deng, Existence-Uniqueness of solutions for a Nonlinear Nonautonomous Size-Structured Population Model: An Upper-Lower Solution Approach. Canadian Applied Mathematics Quarterly, 8 (2000), 1-15.
  47. A.S. Ackleh and D.F. Marshall and H.E. Heatherly, Extinction in a Generalized Lotka-Volterra Predator-Prey Model. Journal of Applied Mathematics and Stochastic Analysis, 13(2000), 287-297.
  48. A.S. Ackleh and L. Ke, Existence-Uniqueness and Long Time Behavior for a Class of Nonlocal Nonlinear Parablic Evolution Equations. Proceedings of the American Mathematical Society, 128 (2000), 3483-3492.
  49. A.S. Ackleh and L. Ke, The Behavior of a Finite Difference Difference Approximation to a Singular Initial-Boundary Value Problem. Applicable Analysis, 76(2000), 115-130.
  50. A.S. Ackleh, S. Aizicovici and S. Reich, Parameter Identification in Nonlocal Nonlinear Evolution Equations. Numerical Functional Analysis and Optimization, 21(2000), 553-570.
  51. A.S. Ackleh and K. Deng, Monotone Scheme for Nonlinear First Order Hyperbolic Initial-Boundary Value Problems. Applied Mathematics Letters, 13(2000), 111-119.
  52. A.S. Ackleh and L. Ke, Dynamical Behavior of Solutions of a Quasilinear Nonlocal Parabolic Problem. Dynamics of Continuous, Discrete and Impulsive Systems, 7(2000), 123-144.
  53. M.A. Demetriou, A.S. Ackleh and S. Reich, Detection and Accommodation of Second Order Distributed Parameter Systems with Abrupt Changes in the Input Term: Existence and Approximation. Kybernetika, 36(2000), 117-132.
  54. A.S. Ackleh and K. Deng, A Monotone Approximation for a Nonlinear Nonautonomous Size-Structured Population Model. Applied Mathematics and Computations, 108(2000), 103-113.
  55. A.S. Ackleh, Parameter Identification in Size-Structured Population Models With Nonlinear Individual Rates. Mathematical and Computer Modelling, 30(1999),81-92.
  56. A.S. Ackleh and R. R. Ferdinand, A Nonlinear Phytoplankton Aggregation Model with Light Shading. SIAM Journal on Applied Mathematics, 60(1999), 316-336.
  57. J. Carter, A.S. Ackleh, B.P. Leonard and H. Wang, Giant Panda (Ailuropoda Melanoleuca) Population Dynamics and Bamboo (subfamily Bambusoideae) life history: A Structured Population Approach to Examining Carrying Capacity when the Prey are Semelparous. Ecological Modelling, 123 (1999), 207-223.
  58. A.S. Ackleh, D.F. Marshall, H.E. Heatherly and B.G. Fitzpatrick, Survival of the Fittest in a Generalized Logistic Model. Mathematical Models and Methods in Applied Sciences, 9 (1999), 1379-1391.
  59. A.S. Ackleh and R.R. Ferdinand, A Finite Difference Approximation for a Nonlinear Size-Structured Phytoplankton Aggregation Model. Quarterly of Applied Mathematics, 57 (1999), 501-520.
  60. A.S. Ackleh and K. Deng, A Monotone Approximation for the Nonautonomous Size-Structured Population Model. Quarterly of Applied Mathematics, 57(1999), 261-267.
  61. A.S. Ackleh, R.R. Ferdinand and S. Reich, Numerical Studies of Parameter Estimation Techniques in Nonlinear Evolution Equations. Kybernetika, 34(1998), 693-712.
  62. A.S. Ackleh and S. Reich, Parameter Estimation in Nonlinear Evolution Equations. Numerical Functional Analysis and Optimization, 19(1998), 933-947.
  63. A.S. Ackleh, Estimation of Rate Distributions in Generalized Kolmogorov Community Models. Nonlinear Analysis, Theory Methods and Applications, 33(1998), 729-745.
  64. A.S. Ackleh and K. Deng, A Monotone Method for First Order Nonlocal Hyperbolic Initial-Boundary Value Problems. Applicable Analysis, 67(1997), 173-183.
  65. A.S. Ackleh and K. Ito, An Implicit Finite Difference Scheme for the Nonlinear Size-Structured Population Model. Numerical Functional Analysis and Optimization, 18(1997), 865-884.
  66. A.S. Ackleh, Parameter Estimation in the Nonlinear Size-Structured Population Model. Advances in Systems Science and Applications, Special Issue (1997), 315-320.
  67. A.S. Ackleh and B.G. Fitzpatrick, Modeling Aggregation and Growth Processes in an Algal Population Model: Analysis and Computation. Journal of Mathematical Biology, 35(1997), 480-502.
  68. A.S. Ackleh, Estimation of Parameters in a Structured Algal Coagulation-Fragmentation Model. Nonlinear Analysis, Theory Methods and Applications, 28(1997), 837-854.
  69. A.S. Ackleh and B.G. Fitzpatrick, Estimation of Discontinuous Parameters in General Nonautonomous Parabolic Systems. Kybernetika, 32(1996), 543-556.
  70. A.S. Ackleh and B.G. Fitzpatrick, Estimation of Time Dependent Parameters in General Parabolic Evolution Systems. Journal of Mathematical Analysis and Applications, 203(1996), 464-480.
  71. A.S. Ackleh, T.G. Hallam and H. C. Muller-Landau, Estimation of Sticking and Contact Efficiencies in Aggregation of Phytoplankton: The 1993 SIGMA Tank Experiment. Deep Sea Research II, 42(1995), 185-201.
  72. A.S. Ackleh, T.G. Hallam and W. O. Smith, Influences of Aggregation and Grazing on Phytoplankton Dynamics and Fluxes: An individual-based Modeling Approach. Nonlinear World, 1(1994), 473-492.
  73. A.S. Ackleh, B.G. Fitzpatrick and T. G. Hallam, Approximation and Parameter Estimation Problems for Algal Aggregation Models. Mathematical Models and Methods in Applied Sciences, 4(1994), 291-311.

BOOK CHAPTERS & CONFERENCE PROCEEDINGS PUBLICATIONS

  1. A.S. Ackleh, K. Deng and Q. Huang, Existence-Uniqueness Results and Difference Approximations for an Amphibian Juvenile-Adult Model. AMS Series in Contemporary Mathematics (IMCP/CONM), accepted for publication.
  2. A.S Ackleh, K. Deng and J.J. Thibodeaux, An Explicit Finite Difference Method for a Structured Erythropoiesis Model, Proceedings of Dynamic Systems and Applications Volume 5 (G.S. Ladde, N.G. Medhin, C. Peng, M. Sambandham, eds), (2008), 1-5.
  3. A.S. Ackleh, Y. Dib and S. Jang, A discrete-time Beverton-Holt competition model. Difference Equations and Discrete Dynamical Systems (L.J.S. Allen, B. Aulback, S. Elaydi, R. Sacker, eds), World Scientific, (2005), 1-10.
  4. A.S. Ackleh and K. Deng, On a Nonlocal Hyperbolic Model Arising from a Reliability System. Proceedings of Dynamic Systems and Application Volume 4 (G.S. Ladde, N.G. Medhin, M. Sambandham, eds), (2004), 113-120.
  5. A.S. Ackleh, K. Deng and J. Derouen, An Adaptive Numerical Method for the Wave Equation with a Nonlinear Boundary Condition. Electronic Journal of Differential Equations, Conference 10, (2003), 23-31.
  6. A.S. Ackleh and K. Deng, Monotone Method for Nonlinear Nonlocal Hyperbolic Equations. Electronic Journal of Differential Equations, Conference 10, (2003), 11-22.
  7. A.S. Ackleh and S. Reich, Approximation Theory for Parameter Identification in Nonlinear Delay Evolution Equations. Mathematics and Mathematics Education, (S. Elaydi, E.S. Titi, M. Saleh, S. K. Jain, eds.), World Scientific, (2002), 239-252.
  8. A.S. Ackleh, S. Aizicovici, M. Demetriou and S. Reich, Existence and Uniqueness of Solutions to a Second Order Nonlinear Nonlocal Hyperbolic Equation. Differential Equations and Control Theory (S. Aizicovici and N. Pavel, eds.), Marcel Dekker, New York, (2001), 1-17.
  9. A.S. Ackleh, Regularity of Solutions to a Quasilinear Size-Structured Population Model. Proceedings of Dynamic Systems and Applications Volume 3 (G.S. Ladde, N.G. Medhin, M. Sambandham, eds), (2001), 1-8.
  10. A.S. Ackleh, S. Aizicovici, M. Demetriou and S. Reich, Existence and Uniqueness of Solutions to a Nonlinear Nonlocal Second Order Initial-Boundary Value Problem. Proceedings of the 8th IEEE Mediterranean Conference on Control and Automation, Patras, Greece. CD-ROM publication (2000).
  11. A.S. Ackleh, S. Aizicovici, R.R. Ferdinand and S. Reich, Parameter Identification in a Nonautonomous Nonlinear Volterra Integral Equations. Proceedings of the 7th IEEE Mediterranean Conference on Control and Automation, Haifa, Israel, (1999), 2200-2206.
  12. A.S. Ackleh, Parameter Estimation Problems for a Nonlinear Parabolic Equation with a Singular Nonlocal Diffusion Term. Proceedings of the 7th IEEE Mediterranean Conference on Control and Automation, Haifa, Israel, (1999), 2191-2199.
  13. A.S. Ackleh, D.F. Marshall and H.E. Heatherly, Asymptotic Behavior of a Generalized Logistic Model. Proceedings of the 14th annual of CAM, Edmond, Oklahoma, (1998), 19-23.
  14. A.S. Ackleh and K. Deng, Asymptotic Behavior for a Nonlinear Nonautonomous Size-Structured Population Model. Proceedings of 14th annual of CAM, Edmond, Oklahoma, (1998), 8-12.
  15. A.S. Ackleh and R.R. Ferdinand, Parameter Estimation in a Two Dimensional Nonlinear Tree Population Model with Shading Effects. Proceedings of the 14th annual of CAM, Edmond, Oklahoma, (1998), 13-18.
  16. M.D. Demetriou, A.S. Ackleh and S. Reich, Detection and Accommodation of Second Order Distributed Parameter Systems with Abrupt Changes in Input Term: Existence and Approximation. Theory and Practice of Control and Systems (A. Tornambe, G. Conte and A.M. Perdon, eds.), World Scientific, Singapore, (1998), 720-725.
  17. A.S. Ackleh and K. Ito, An Approximation Scheme for a Nonlinear Size-Dependent Population Model. Dynamical Systems & Differential Equations (W. Chen and S. Hu, eds), an added volume to Discrete and Continuous Dynamical Systems, 1(1998), 1-6.
  18. A.S. Ackleh, R.R. Ferdinand, S. Aizicovici and S. Reich, Numerical Studies of Parameter Estimation Techniques for Nonlinear Volterra Equations. Theory and Practice of Control and Systems (A. Tornambe, G. Conte and A.M. Perdon, eds.), World Scientific, Singapore, (1998), 310-315.
  19. A.S. Ackleh and S. Reich (1997) Inverse Problems for Nonautonomous Nonlinear Distributed Parameter Sytems. Proceedings of the 5th IEEE Mediterranean Conference on Control and Systems, Paphos, Cyprus. CD-ROM publication by Focus Interactive Inc. (1997).
  20. A.S. Ackleh, Parameter Estimation in a Nonlinear Structured Tree Population Model With Self Shading Effects. Proceedings of the 5th IEEE Mediterranean Conference on Control and Systems, Paphos, Cyprus. CD-ROM publication by Focus Interactive Inc. (1997).
  21. A.S. Ackleh and R.R. Ferdinand, An Approximation to a Nonlinear Size-Structured Phytoplankton Aggregation Model with a Spatial Dimension. Proceedings of the 13th annual Conference on Applied Mathematics (CAM), Edmond, Oklahoma, (1997), 82-94.
  22. A.S. Ackleh, Estimation of Discontinuous Parameters in a Class of Nonautonomous Semilinear Parabolic Systems. Proceedings of the 13th annual Conference on Applied Mathematics (CAM), Edmond, Oklahoma, (1997), 1-11.
  23. A.S. Ackleh and B.G. Fitzpatrick, Estimation of Temporally Discontinuous Parameters in a General Parabolic Evolution System. Proceedings of the 3rd IEEE Mediterranean Conference on New Directions in Control and Automation, Limassol, Cyprus, 1(1995), 280-286.

SUBMITTED MANUSCRIPTS

  1. J. Cleveland and A.S. Ackleh, Evolutionary Game Theory on Measure Spaces. Submitted for publication.
  2. A.S. Ackleh, K. Deng and Q. Huang, A Stochastic Partial Differential Equation System for a Juvenile-Adult Model with Application to a Green Tree Frog Population. Submitted for publication.
  3. B.G. Fitzpatrick, R. Scribner, A.S. Ackleh, G. Jacquez, J. Rasul, R. Rommel and N. Simonsen, A Systems Approach to the Minimum Legal Drinking Age. Submitted for publication.

BOOKS/EDITED VOLUMES

  1. A.S. Ackleh, E. Allen, R.B. Kearfott, P. Seshaiyer, Numerical Analysis: Theory Methods and Practice (Graduate Textbook). Taylor and Francis Publishing, 2009.
  2. Special Issue Mathematical Biosciences and Engineering, 5(4)(2008), (A.S. Ackleh, L.J.S. Allen, G. Canziani, S. Henson, J. Li, Z. Ma, Eds.)