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Recent Publications
Publications in 2021
A jackknife empirical likelihood approach for testing homogeneity of k variances Y. Sang Metrika (2021)
Rigid automorphisms of linking systems
George Glauberman and Justin Lynd Forum of Mathematics, Sigma 9 (2021), e23
Periodic solutions and their stability for some perturbed {H}amiltonian systems
Guirao, Juan L. G. and Llibre, Jaume and Vera, Juan A. and Bruce Wade International Journal of Geometric Methods in Modern Physics 18 (2021) no. 1, 2150013, 13
On the unitary group of the multiplier algebra of the {R}azak algebra P.W. Ng Studia Mathematica 256 (2021) no. 1, 93--107
Diffusive limit to a selection-mutation equation with small mutation formulated on the space of measures A.S. Ackleh and Saintier, NicolasDiscrete and Continuous Dynamical Systems. Series B. A Journal Bridging Mathematics and Sciences 26 (2021) no. 3, 1469--1497
A continuous-time mathematical model and discrete approximations for the aggregation of {$\beta $}-amyloid A.S. Ackleh and Elaydi, Saber and Livadiotis, George and A. Veprauskas Journal of Biological Dynamics 15 (2021) no. 1, 109--136
Publications in 2020
Long-term dynamics of discrete-time predator-prey models: stability of equilibria, cycles and chaos A.S. Ackleh and Hossain, Md Istiaq and A. Veprauskas and Zhang, AijunJournal of Difference Equations and Applications 26 (2020) no. 5, 693--726
Well-posedness of a system of transport and diffusion equations in space of measures A.S. Ackleh and Saintier, NicolasJournal of Mathematical Analysis and Applications 492 (2020) no. 1, 124397, 28
Finite difference schemes for a structured population model in the space of measures A.S. Ackleh and Lyons, Rainey and Saintier, NicolasMathematical Biosciences and Engineering 17 (2020) no. 1, 745--775
Sensitivity equations for measure-valued solutions to transport equations A.S. Ackleh and Saintier, Nicolas and Skrzeczkowski, JakubMathematical Biosciences and Engineering 17 (2020) no. 1, 514--537
Maintaining Scientific Inquiry in Online Education
Nathan R. Dolenc, Patricia Beaulieu , Peter SheppardResearch Issues in Contemporary Education 5 (2020) no. 3, 13-25.
Mathematics Enrichment Camp Experiences Amid the COVID-19 Pandemic: Teacher Voices and Perspectives
Elizabeth Grossie, Lerri L. Cockrell, Natalie Davis, Patricia Beaulieu Research Issues in Contemporary Education 5 (2020) no. 3, 56-71.
Peirce decompositions, idempotents and rings
\'{A}nh, Pham N. and Gary F. Birkenmeier and van Wyk, LeonJournal of Algebra 564 (2020), 247--275
{$\pi $}-endo {B}aer modules Gary F. Birkenmeier and Kara, Yeliz and Tercan, AdnanCommunications in Algebra 48 (2020) no. 3, 1132--1149
F{I}-extending generalized matrix rings Gary F. Birkenmeier and Davis, Donald D.Journal of Algebra and its Applications 19 (2020) no. 1, 2050018, 8
Infection severity across scales in multi-strain immuno-epidemiological {D}engue model structured by host antibody level Hayriye Gulbudak and Cameron J. Browne Journal of Mathematical Biology 80 (2020) no. 6, 1803--1843
Resonance of periodic combination antiviral therapy and intracellular delays in virus model Cameron J. Browne and Pan, Xuejun and Shu, Hongying and X.-S. Wang Bulletin of Mathematical Biology 82 (2020) no. 2, Paper No. 29, 29
Age-structured viral dynamics in a host with multiple compartments Cameron J. Browne and Cheng, Chang-YuanMathematical Biosciences and Engineering 17 (2020) no. 1, 538--574
Analysis of age and spatially dependent population model: application to forest growth Keng Deng and Webb, Glenn F. and Wu, YixiangNonlinear Analysis. Real World Applications. An International Multidisciplinary Journal 56 (2020), 103164, 23
Global solvability for a diffusion model with absorption and memory-driven flux at the boundary
Anderson, Jeffrey R. and Keng Deng Zeitschrift f\"{u}r Angewandte Mathematik und Physik. 71 (2020) no. 2, Paper No. 50, 15
An immuno-epidemiological vector-host model with within-vector viral kinetics Hayriye Gulbudak Journal of Biological Systems 28 (2020) no. 2, 233--275
Modular operads and the nerve theorem Philip Hackney and Robertson, Marcy and Yau, DonaldAdvances in Mathematics 370 (2020), 107206, 39
A graphical category for higher modular operads Philip Hackney and Robertson, Marcy and Yau, DonaldAdvances in Mathematics 365 (2020), 107044, 61
Diagram complexes, formality, and configuration space integrals for spaces of braids
Komendarczyk, Rafal and Robin Koytcheff and Voli\'{c IsmarThe Quarterly Journal of Mathematics 71 (2020) no. 2, 729--779
Testing equality of two normal covariance matrices with monotone missing data
Yu, Jianqi and K. Krishnamoorthy and He, YafeiCommunications in Statistics. Theory and Methods 49 (2020) no. 16, 3911--3918
Prediction intervals for hypergeometric distributions K. Krishnamoorthy and Lv, ShanshanCommunications in Statistics. Theory and Methods 49 (2020) no. 6, 1528--1536
Confidence interval, prediction interval and tolerance limits for a two-parameter {R}ayleigh distribution K. Krishnamoorthy and Waguespack, Dustin and Hoang-Nguyen-Thuy, NganJournal of Applied Statistics 47 (2020) no. 1, 160--175
Tests for Comparing Several Two-Parameter Exponential Distributions Based on Uncensored/Censored Samples K. Krishnamoorthy , Thu Nguyen, Yongli Sang Journal of Statistical Theory and Applications 19 (2020) no. 2, 248-260.
Tests and Confidence Intervals for the Mean of a Zero-Inflated Poisson Distribution
Dustin Waguespack, K. Krishnamoorthy , and Meesook LeeAmerican Journal of Mathematical and Management Sciences 39 no. 4, 383-390.
A split-step finite-element method for incompressible {N}avier-{S}tokes equations with high-order accuracy up-to the boundary Longfei Li Journal of Computational Physics 408 (2020), 109274, 28
Centers of {S}ylow subgroups and automorphisms
Glauberman, George and Guralnick, Robert and Justin Lynd and Navarro, GabrielIsrael Journal of Mathematics 240 (2020) no. 1, 253--266
Remarks on essential codimension
Loreaux, Jireh and P.W. Ng Integral Equations and Operator Theory 92 (2020) no. 1, Paper No. 4, 35
Two symmetric and computationally efficient {G}ini correlations
Vanderford, Courtney and Y. Sang and Dang, XinDependence Modeling 8 (2020) no. 1, 373--395
Depth-based weighted jackknife empirical likelihood for non-smooth {$U$}-structure equations: {WJEL} for {$U$}-structure equations Y. Sang and Dang, Xin and Zhao, YichuanTEST 29 (2020) no. 2, 573--598
Empirical likelihood test for diagonal symmetry Y. Sang and Dang, XinStatistics & Probability Letters 156 (2020), 108595, 9
Generalized Monotone Method for Nonlinear Caputo Fractional Impulsive Differential Equations
Y. Bai and A.S. Vatsala Nonlinear Dynamics and Systems Theory 20 (2020) no. 1, 3-20.
Quenching Problem for Two Dimensional Caputo Time-Fractional Reaction-Diffusion Equation
Subhash Subedi and A.S. Vatsala Dynamic Systems and Applications 29 (2020) no. 1, 26-52.
Numerical results for sequential sub hyperbolic equation in one dimensional space
Yunxiang Bai and A.S. Vatsala Mathematics in Engineering, Science and Aerospace 11 (2020) no. 3, 595-611.
Sequential Caputo versus Nonsequential Caputo Fractional Initial and Boundary Value Problems ,A.S. Vatsala and Bhuvaneswari Sambandham,International Journal of Difference Equations 15 (2020) no. 2, 529–544.
A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting
Asante-Asamani, E. O. and Kleefeld, A. and Bruce Wade Journal of Computational Physics 415 (2020), 109490, 18
Complex dynamics in a delay differential equation with two delays in tick growth with diapause
Shu, Hongying and Xu, Wanxiao and X.-S. Wang and Wu, JianhongJournal of Differential Equations 269 (2020) no. 12, 10937--10963
Viral diffusion and cell-to-cell transmission: mathematical analysis and simulation study
Shu, Hongying and Ma, Zongwei and X.-S. Wang and Wang, LinJournal de Math\'{e}matiques Pures et Appliqu\'{e}es. Neuvi\`eme S\'{e}rie 137 (2020), 290--313
Asymptotics of the {W}ilson polynomials
Li, Yu-Tian and X.-S. Wang and Wong, RoderickAnalysis and Applications 18 (2020) no. 2, 237--270
Asymptotics of orthogonal polynomials with asymptotic {F}reud-like weights
Long, Wen-Gao and Dai, Dan and Li, Yu-Tian and X.-S. Wang Studies in Applied Mathematics 144 (2020) no. 2, 133--163
On a {R}amanujan type entire function and its zeros
Dai, Dan and Ismail, Mourad E. H. and X.-S. Wang Journal of Mathematical Analysis and Applications 485 (2020) no. 2, 123856, 16
Recent Presentations
Daniel G. Davis
Philip Hackney
Robin Koytcheff
Publications in 2019
Meta Analysis of Regression: a Review and New Approach with Application to Linear-circular Regression Model Sungsu Kim and Thelge Buddika PeirisCommunication in Statistics: Theory and Methods
An Asymptotic Conditional Test of Independence in Bernoulli Sequences Using the Number of Runs Given the Number of Successes Sungsu Kim and Chong-Jin ParkSankhya, A
Diagnostic analysis of a circular-circular regression model using asymmetric or asymmetric bi-modal circular errors Sungsu Kim and Md, Monjurul, RifatCommunication in Statistics: Theory and Methods
Depth-based Weighted Jackknife Empirical Likelihood for Non-smooth U-structure Equations Y. Sang , with X. Dang and Y. ZhaoTEST (2019)
Empirical likelihood approach for diagonal symmetry Y. Sang with X. DangStatistics and Probability Letters (2019)
Jackknife empirical likelihood for Gini correlations and their equality testing Y. Sang with X. Dang and Y. ZhaoJournal of Statistical Planing and Inference , 199 (2019), 45-59
Doubly infinite Jacobi matrices revisited: Resolvent and spectral measure
D. Dai, M. E. H. Ismail and X.-S. Wang
Advances in Mathematics 343 (2019), 157-192.
Asymptotics of partition functions in a fermionic matrix model and of related q-polynomials
D. Dai, M. E. H. Ismail and X.-S. Wang
Studies in Applied Mathematics 142 (2019), 91-105.
Convergence rate for a Radau hp collocation method applied to constrained optimal control
W. W. Hager, H. Hou, S. Mohapatra, A. V. Rao and X.-S. Wang
Computational Optimization and Applications 74 (2019), 275-314.
Asymptotic expansion of orthogonal polynomials via difference equations
X.-M. Huang, L. Cao and X.-S. Wang
Journal of Approximation Theory 239 (2019), 29-50.
Traveling waves of diffusive disease models with time delay and degeneracy
X.-M. Huang and X.-S. Wang
Mathematical Biosciences and Engineering 16 (2019), 2391-2410.
On quasi-orthogonal polynomials: Their differential equations, discriminants and electrostatics
M. E. H. Ismail and X.-S. Wang
Journal of Mathematical Analysis and Applications 474 (2019), 1178-1197.
Asymptotics of the Wilson polynomials
Y.-T. Li, X.-S. Wang and R. Wong
Analysis and Applications (2019), accepted.
Numerical optimal control of a size-structured PDE model for metastatic cancer treatment
J. Liu and X.-S. Wang
Mathematical Biosciences 314 (2019), 28-42.
Dirichlet problem for a delayed diffusive hematopoiesis model
X. Pan, H. Shu, L. Wang and X.-S. Wang
Nonlinear Analysis: Real World Applications 48 (2019), 493-516.
Traveling waves in epidemic models: non-monotone diffusive systems with nonmonotone incidence rates
H. Shu, X. Pan, X.-S. Wang and J. Wu
Journal of Dynamics and Differential Equations 31 (2019), 883-901.
A criterion for existence of right-induced model structures Philip Hackney with Gabriel C. Drummond-ColeBulletin of the London Mathematical Society , 51(2) 309–326, April 2019.
Higher cyclic operads Philip Hackney with Marcy Robertson and Donald YauAlgebraic & Geometric Topology 19(2) 863–940, March 2019.
Testing equality of two normal covariance matrices with monotone missing data K. Krishnamoorthy and Y. HeCommunications in Statistics – Theory and Methods (2019)
Confidence interval, prediction interval and tolerance limits for a two-parameter Rayleigh distribution K. Krishnamoorthy , D. Waguespack and H-N-T NganJournal of Applied Statistics (2019)
Prediction intervals for hypergeometric distributions. K. Krishnamoorthy and S. Lv Communications in Statistics – Theory and Methods. (2019)
Milnor invariants of string links, trivalent trees, and configuration space integrals Robin Koytcheff with Ismar VolicTopology Appl. , 251 (2019), 4769.
The trouble with surrogates in environmental risk assessment: a daphniid case study
J. Banks, A.S. Ackleh , A. Veprauskas , R. Vargas and J. StarkEcotoxicology , 28 (2019), 62-68.
Sensitivity Analysis of the Recovery Time for a Population under the Impact of an Environmental Disturbance A.S. Ackleh , H. Caswell, R.A. Chiquet , T. Tang and A. Veprauskas Natural Resource Modeling , 32 (2019), 1-22.
Viral invasion fitness across a continuum from lysis to latency
Joshua S. Weitz, Guanlin Li, Hayriye Gulbudak , Michael H. Cortez, Rachel J. Whitaker, Virus Evolution , 5 (1) (1019), p. vez006.
Modeling Intracellular Replication of Flaviviruses
Gabriela Blohm, Hayriye Gulbudak , Maia Martcheva, Jose Miguel Ponciano
in Mosquitos: Species, Distribution and Disease (Tabitha Terry), Nova Science Publishers, ISBN: 978-1-53615-157-2 (2019)
p. 49–66
Heterogeneous Viral Strategies Promote Coexistence in Virus-Microbe Systems Hayriye Gulbudak , Joshua S. WeitzJournal of Theoretical Biology , 462 (2019), 65–84.
Recent Presentations
Sungsu Kim
Multivariate circular distribution with application to a prediction of three dimensional protein structure
Colloquium at Louisiana State University Health Science Center - New Orleans
School of Public Health
April 22 2019
Philip Hackney
Xiang-Sheng Wang
Optimal control of a PDE tumor model
The Thirteenth International Conference on Recent Advances in Applied Dynamical Systems, Hangzhou Normal University
June 8 - 10, 2019
Multiple-scale analysis in an ion channel model
Workshop on Differential Equations with Applications, Chang'an University
May 24-26, 2019
Numerical optimal control of a size-structured PDE model for metastatic cancer treatment
SCALA 2019: Scientific Computation Around Louisiana, Tulane University
February 15-16, 2019
K. Krishnamoorthy
Tolerance Intervals: Computation and Applications
Invited talk at the 6th African International Conference On Statistics, Adama, Ethiopia
March 27 - 30, 2019
Robin Koytcheff
Configuration space integrals for spaces of knots, links, and braids
Four-manifolds: Confluence of High and Low Dimensions, Fields Institute, Toronto, ON, Canada
July 12, 2019
The Taylor tower for spaces of knots and finite-type invariants andOperadic decompositions of spaces of string links
Topology special session, Canadian Mathematical Society Summer Meeting, University of Regina, Regina, SK, Canada
June 8, 2019
A Morse-theoretic approach to the space of unlinks
Knots and Braids in Norway, NTNU, Trondheim, Norway
May 14, 2019
Operad actions on the Taylor tower for the space of knots
Workshop on Functor Calculus, The Ohio State University, Columbus, OH
March 16, 2019
Bruce Wade
Operator Splitting with Some Exponential Time Differencing Schemes For Reaction-Diffusion Systems
Invited talk at the Computational and Mathematical Methods for Science and Engineering (CMMSE) conference, Cadiz, Spain
July 2, 2019
Hayriye Gulbudak
Heterogeneous Virus Strategies Promote Coexistence in Virus-Microbe Systems Applications of Mathematics to Nonlinear Sciences (AMNS-2019), Pokhara, Nepal
June, 2019
Modeling Within-Vector Viral Kinetics in a Multi-Scale Vector-Host Model andTwo-Strain Multi-Scale Dengue Model Structured by Dynamic Host Antibody Level
The 5th International Conference on Computational & Mathematical Population Dynamics (CMPD5-2019)), Florida Atlantic University, Fort Lauderdale, Florida
May, 2019
Multi-Scale Structured Models of Infectious Disease Dynamics
Plenary Lecture at the 4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019), Akdeniz University, Antalya, Turkey
April, 2019.
Modeling Within-Vector Viral Kinetics in a Multi-Scale Vector-Host Model Applied and Computational Mathematics Seminar, Tulane University, New Orleans, Louisiana
February, 2019
Justin Lynd
Groups and Geometries
Banff International Research Station, Banff, Alberta, Canada August 29, 2019
China-US Group Theory Summit
San Marcos, TX August 23, 2019
Special Session on Groups, Representations and Applications
Vietnam-USA Joint Mathematical Meeting, Quy Nhon, Vietnam June 11, 2019
Special Session on Representations of Lie Algebras, Algebraic Groups, and Quantum Groups
AMS Spring Southeastern Sectional Meeting, Auburn University March 17, 2019