Azmy S Ackleh

Summary

Affiliation: University of Louisiana at Lafayette
Country: USA

Publications

  1. doi Robust uniform persistence and competitive exclusion in a nonautonomous multi-strain SIR epidemic model with disease-induced mortality
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504 1010, USA
    J Math Biol 68:453-75. 2014
  2. doi A second-order high resolution finite difference scheme for a structured erythropoiesis model subject to malaria infection
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, LA 70504, USA
    Math Biosci 245:2-11. 2013
  3. doi The global dynamics of a discrete juvenile-adult model with continuous and seasonal reproduction
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, USA
    J Biol Dyn 3:101-15. 2009
  4. doi Discrete three-stage population model: persistence and global stability results
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA
    J Biol Dyn 2:415-27. 2008
  5. doi A monotone approximation for a size-structured population model with a generalized environment
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
    J Biol Dyn 1:305-19. 2007
  6. doi A three-stage discrete-time population model: continuous versus seasonal reproduction
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
    J Biol Dyn 1:291-304. 2007
  7. ncbi Stochastic juvenile--adult models with application to a green tree frog population
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
    J Biol Dyn 5:64-83. 2011
  8. doi Fitting a structured juvenile-adult model for green tree frogs to population estimates from capture-mark-recapture field data
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
    Bull Math Biol 74:641-65. 2012
  9. doi Stability of a delay equation arising from a juvenile-adult model
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504, United States
    Math Biosci Eng 7:729-37. 2010
  10. ncbi Parameter estimation in a coupled system of nonlinear size-structured populations
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504 1010
    Math Biosci Eng 2:289-315. 2005

Collaborators

Detail Information

Publications20

  1. doi Robust uniform persistence and competitive exclusion in a nonautonomous multi-strain SIR epidemic model with disease-induced mortality
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504 1010, USA
    J Math Biol 68:453-75. 2014
    ..The theoretical approach developed here is general enough to apply to other nonautonomous epidemic models. ..
  2. doi A second-order high resolution finite difference scheme for a structured erythropoiesis model subject to malaria infection
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, LA 70504, USA
    Math Biosci 245:2-11. 2013
    ..Convergence of the numerical method to the unique weak solution with bounded total variation is proved. Numerical simulations demonstrating the achievement of the designed accuracy are presented. ..
  3. doi The global dynamics of a discrete juvenile-adult model with continuous and seasonal reproduction
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, USA
    J Biol Dyn 3:101-15. 2009
    ..When this value is less than one, the population goes to extinction. Conditions on the birth rate where the population with seasonal breeding survives while the population with continuous breeding becomes extinct are provided...
  4. doi Discrete three-stage population model: persistence and global stability results
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA
    J Biol Dyn 2:415-27. 2008
    ..If it is larger than one the existence of a unique positive fixed point is proved and the persistence of the system is established. Finally, for certain parameter ranges global stability of the positive fixed point is proved...
  5. doi A monotone approximation for a size-structured population model with a generalized environment
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
    J Biol Dyn 1:305-19. 2007
    ..A fully discretized numerical scheme based on these monotone sequences is presented and utilized to provide some numerical examples...
  6. doi A three-stage discrete-time population model: continuous versus seasonal reproduction
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
    J Biol Dyn 1:291-304. 2007
    ..This is different from the results obtained for a two-stage model discussed by Ackleh and Jang (J. Diff. Equ. Appl., 13, 261-274, 2007), where it was shown that for low birth rates seasonal breeding results in higher adult averages...
  7. ncbi Stochastic juvenile--adult models with application to a green tree frog population
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
    J Biol Dyn 5:64-83. 2011
    ..These models are then used to understand the effect of demographic stochasticity on the dynamics of an urban green tree frog (Hyla cinerea) population...
  8. doi Fitting a structured juvenile-adult model for green tree frogs to population estimates from capture-mark-recapture field data
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
    Bull Math Biol 74:641-65. 2012
    ..Numerical results for the model sensitivity with respect to these parameters are given. Finally, the above-mentioned parameter estimates are used to illustrate the long-time behavior of the population under investigation...
  9. doi Stability of a delay equation arising from a juvenile-adult model
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504, United States
    Math Biosci Eng 7:729-37. 2010
    ..We also show that under certain conditions the equation undergoes a Hopf bifurcation. We then study global asymptotic stability and present bifurcation diagrams for two special cases of the model...
  10. ncbi Parameter estimation in a coupled system of nonlinear size-structured populations
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504 1010
    Math Biosci Eng 2:289-315. 2005
    ..Convergence results for the parameter estimation technique are established. Ample numerical simulations and statistical evidence are provided to demonstrate the feasibility of this approach...
  11. ncbi Parameter estimation in a structured erythropoiesis model
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana, Lafayette, Louisiana 70504, USA
    Math Biosci Eng 5:601-16. 2008
    ..Standard errors for such parameters are also given...
  12. ncbi Comparison between stochastic and deterministic selection-mutation models
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504 1010, USA
    Math Biosci Eng 4:133-57. 2007
    ....
  13. ncbi Establishing a beachhead: a stochastic population model with an Allee effect applied to species invasion
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
    Theor Popul Biol 71:290-300. 2007
    ..Furthermore, if migration rates are low, one or more than one patch may be successfully invaded, while if migration rates are high all patches are invaded...
  14. ncbi A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
    Math Biosci 204:21-48. 2006
    ..A study of robustness with respect to the forms of these functions and parameter sensitivity is also carried out...
  15. ncbi Competitive exclusion and coexistence for a quasilinear size-structured population model
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
    Math Biosci 192:177-92. 2004
    ..In particular, our results suggest that the ratio of the reproduction and mortality rates is a good measure to determine the winning ecotype. Meanwhile, we show that in the case of open reproduction all ecotypes coexist...
  16. ncbi Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
    J Math Biol 47:153-68. 2003
    ..In addition, an example is given which shows that if such inequalities are not satisfied then coexistence may occur...
  17. doi A discrete stage-structured two-species competition model with sexual and clonal reproduction
    Pei Zhang
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, USA
    J Biol Dyn 6:2-16. 2012
    ....
  18. doi Prospects for short-term and long-term passive acoustic monitoring of environmental change impact on marine mammals
    Natalia Sidorovskaia
    Phys, Univ of Louisiana at Lafayette, UL Box 44210, Lafayette, LA
    J Acoust Soc Am 134:4176. 2013
    ..Past data acquisitions were supported by ONR, SPAWAR, JIP, NSF, and Greenpeace.]. ..
  19. doi Assessing the Deepwater Horizon oil spill impact on marine mammal population through acoustics: endangered sperm whales
    Azmy S Ackleh
    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504, USA
    J Acoust Soc Am 131:2306-14. 2012
    ..This indicates that some sperm whales may have relocated farther away from the spill. Follow-up experiments will be important for understanding long-term impact...
  20. doi Invasion, disturbance, and competition: modeling the fate of coastal plant populations
    Sharmila Pathikonda
    Department of Biology, University of Louisiana at Lafayette, Lafayette, LA 70504, USA
    Conserv Biol 23:164-73. 2009
    ..Our models contribute new insight into the relationship between environmental disturbance and invasion and demonstrate how influential abiotic factors such as climate change will be in determining interspecific interactions...