Research Topics
 Azmy S AcklehSummaryAffiliation: University of Louisiana at Lafayette Country: USA Publications
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Publications
 Robust uniform persistence and competitive exclusion in a nonautonomous multistrain SIR epidemic model with diseaseinduced mortalityAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504 1010, USA
J Math Biol 68:45375. 2014..The theoretical approach developed here is general enough to apply to other nonautonomous epidemic models. ..  A secondorder high resolution finite difference scheme for a structured erythropoiesis model subject to malaria infectionAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, LA 70504, USA
Math Biosci 245:211. 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. ..  The global dynamics of a discrete juvenileadult model with continuous and seasonal reproductionAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, USA
J Biol Dyn 3:10115. 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...  Discrete threestage population model: persistence and global stability resultsAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA
J Biol Dyn 2:41527. 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...  A monotone approximation for a sizestructured population model with a generalized environmentAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
J Biol Dyn 1:30519. 2007..A fully discretized numerical scheme based on these monotone sequences is presented and utilized to provide some numerical examples...  A threestage discretetime population model: continuous versus seasonal reproductionAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
J Biol Dyn 1:291304. 2007..This is different from the results obtained for a twostage model discussed by Ackleh and Jang (J. Diff. Equ. Appl., 13, 261274, 2007), where it was shown that for low birth rates seasonal breeding results in higher adult averages...  Stochastic juvenileadult models with application to a green tree frog populationAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
J Biol Dyn 5:6483. 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...  Fitting a structured juvenileadult model for green tree frogs to population estimates from capturemarkrecapture field dataAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
Bull Math Biol 74:64165. 2012..Numerical results for the model sensitivity with respect to these parameters are given. Finally, the abovementioned parameter estimates are used to illustrate the longtime behavior of the population under investigation...  Stability of a delay equation arising from a juvenileadult modelAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504, United States
Math Biosci Eng 7:72937. 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...  Parameter estimation in a coupled system of nonlinear sizestructured populationsAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504 1010
Math Biosci Eng 2:289315. 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...  Parameter estimation in a structured erythropoiesis modelAzmy S Ackleh
Department of Mathematics, University of Louisiana, Lafayette, Louisiana 70504, USA
Math Biosci Eng 5:60116. 2008..Standard errors for such parameters are also given...  Comparison between stochastic and deterministic selectionmutation modelsAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504 1010, USA
Math Biosci Eng 4:13357. 2007....  Establishing a beachhead: a stochastic population model with an Allee effect applied to species invasionAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
Theor Popul Biol 71:290300. 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...  A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rateAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
Math Biosci 204:2148. 2006..A study of robustness with respect to the forms of these functions and parameter sensitivity is also carried out...  Competitive exclusion and coexistence for a quasilinear sizestructured population modelAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
Math Biosci 192:17792. 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...  Competitive exclusion and coexistence for pathogens in an epidemic model with variable population sizeAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 1010, USA
J Math Biol 47:15368. 2003..In addition, an example is given which shows that if such inequalities are not satisfied then coexistence may occur...  A discrete stagestructured twospecies competition model with sexual and clonal reproductionPei Zhang
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, USA
J Biol Dyn 6:216. 2012....  Prospects for shortterm and longterm passive acoustic monitoring of environmental change impact on marine mammalsNatalia 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.]. ..  Assessing the Deepwater Horizon oil spill impact on marine mammal population through acoustics: endangered sperm whalesAzmy S Ackleh
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504, USA
J Acoust Soc Am 131:230614. 2012..This indicates that some sperm whales may have relocated farther away from the spill. Followup experiments will be important for understanding longterm impact...  Invasion, disturbance, and competition: modeling the fate of coastal plant populationsSharmila Pathikonda
Department of Biology, University of Louisiana at Lafayette, Lafayette, LA 70504, USA
Conserv Biol 23:16473. 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...