I am interested in the interdisciplinary research fields listed below.
[♠] Asymptotic analysis and computational mathematics
[♦] Differential equations and dynamical systems
[♣] Mathematical biology and mathematical statistics
[♥] Orthogonal polynomials and special functions
- [♠♥] D. Dai, M. E. H. Ismail, and X.-S. Wang, Orthogonal polynomials with periodic recurrence coefficients, Analysis and Applications (2026), accepted.
- [♣] X. Shi, X.-S. Wang, A. Wong, and W. Lin, Approximate inference with exponential tilting densities: Theory and applications, Statistical Science (2026), accepted.
- [♦♣] H. Shu, S. Xin, X.-S. Wang, and J. Yu, Joint impact of diffusion and advection on predator-prey dynamics with delay and fear effect, SIAM Journal on Applied Mathematics 86 (2026), 76-103.
- [♦♣] W. Xu, H. Shu, L. Wang, X.-S. Wang, and J. Yu, Complex spatiotemporal dynamics in a diffusive intraguild predation model with digestion delay, Journal of Differential Equations (2026), accepted.
- [♠♦♣] Y. Chen, X.-M. Gu, J. Liu, and X.-S. Wang, A lumped ODE model for metastatic cancer treatment, ScienceAsia 51S (2025), 1-11.
- [♦♣] J. E. Mahbuba and X.-S. Wang, Stability analysis of biological systems under threshold conditions, Symmetry 17 (2025), 1193.
- [♦♣] X. Pan, H. Shu, L. Wang, X.-S. Wang, and J. Yu, On the periodic solutions of switching scalar dynamical systems, Journal of Differential Equations 415 (2025), 365-382.
- [♦♣] M. Pupulin, X.-S. Wang, M. A Efendiev, T. Giletti, and H. J. Eberl, A PDE-ODE coupled spatio-temporal mathematical model for fire blight during bloom, Journal of Mathematical Biology 91 (2025), 67.
- [♦♣] M. M. Rahaman and X.-S. Wang, Threshold dynamics of honey bee colonies with general eclosion and social inhibition, Axioms 14 (2025), 773.
- [♦♣] X. Wu, W. Zhang, X.-S. Wang, and J. Li, A mechanistic model-to-model approach for solving a nonlinear pharmacokinetic model, Bulletin of the Malaysian Mathematical Sciences Society 48 (2025), 53.
- [♠♥] D. Dai, M. E. H. Ismail, and X.-S. Wang, From continuous to discrete: weak limit of normalized
Askey¨CWilson measure, The Ramanujan Journal 64 (2024), 227-252.
- [♦♣] J. Deng, H. Shu, S. Tang, L. Wang, and X.-S. Wang, Coexistence or extinction: Dynamics of multiple lizard species with competition, dispersal and intraguild predation, Journal of Mathematical Biology 89 (2024), 65.
- [♦♣] K. Sarkar and X.-S. Wang, Data fixing by data fitting: Estimating the unreported cases during the early COVID-19 outbreak in Hubei, China, Journal of Basic & Applied Sciences 20 (2024), 92-97.
- [♦♣] H. Shu, H.-Y. Jin, X.-S. Wang, and J. Wu, Viral infection dynamics with immune chemokines and CTL mobility modulated by the infected cell density, Journal of Mathematical Biology 88 (2024), 43.
- [♠♣] C. Wang, L. Chang, X.-S. Wang, B. Zhang, and A. Stein, Interferometric synthetic aperture radar statistical inference in deformation measurement and geophysical inversion: A review, IEEE Geoscience and Remote Sensing Magazine 12 (2024), 8-35.
- [♠♣] C. Wang, C. Zhu, X.-S. Wang, W. Tu, and Q. Li, A new object-oriented SAR interferometry framework for monitoring urban deformation, IEEE Transactions on Geoscience and Remote Sensing 62 (2024), 1-11.
- [♦♣] J. Deng, H. Shu, L. Wang, and X.-S. Wang, Viral dynamics with immune responses: Effects of distributed delays and Filippov antiretroviral therapy, Journal of Mathematical Biology 86 (2023), 37.
- [♠♦] Y. He, J. Liu, and X.-S. Wang, Optimized sparse approximate inverse smoothers for solving Laplacian linear systems, Linear Algebra and its Applications 656 (2023), 304-323.
- [♠♦] Y. Jiang, J. Liu, and X.-S. Wang, A direct parallel-in-time quasi-boundary value method for inverse space-dependent source problems, Journal of Computational and Applied Mathematics 423 (2023), 114958.
- [♠♦♣] J. Liu and X.-S. Wang, Dynamic optimal allocation of medical resources: a case study of face masks during the first COVID-19 epidemic wave in the United States, Mathematical Biosciences and Engineering 20 (2023), 12472-12485.
- [♠♥] W. Shi, G. Nemes, X.-S. Wang, and R. Wong, Error bounds for the asymptotic expansions of the Hermite polynomials, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 153 (2023), 417-440.
- [♠♦♣] H. Shu, X. Pan, X.-S. Wang, and B. Wade, Traveling waves of nonlocal delayed disease models: Critical wave speed and propagation speed, Applicable Analysis 102 (2023), 385-405.
- [♦] Y. Wang, M. Li, X.-S. Wang, A. Gildersleeve, and N. Turki, ATRP kinetic simulator: An online open resource educational tool using Jupyter notebook and Google colaboratory, Journal of Chemical Education 100 (2023), 2770-2775.
- [♦♣] W. Xu, H. Shu, L. Wang, X.-S. Wang, and J. Watmough, The importance of quarantine: modelling the COVID-19 testing process, Journal of Mathematical Biology 86 (2023), 81.
- [♠♥] L. Cao, S. Ghimire, and X.-S. Wang, Bivariate Lagrange interpolation at the checkerboard nodes, Proceedings of the American Mathematical Society 150 (2022), 2153-2163.
- [♠♦♥] J. Liu, X.-S. Wang, S.-L. Wu, and T. Zhou, A well-conditioned direct PinT algorithm for first- and second-order evolutionary equations, Advances in Computational Mathematics 48 (2022), 16.
- [♣♥] X. Shi, X.-S. Wang, and N. Reid, A new class of weighted CUSUM statistics, Entropy 24 (2022), 1652.
- [♠♣] X. Shi, X.-S. Wang, and A. Wong, Explicit Gaussian variational approximation for the Poisson lognormal mixed model, Mathematics 10 (2022), 4542.
- [♦♣] H. Shu, W. Xu, X.-S. Wang, and J. Wu, Spatiotemporal patterns of a structured spruce budworm diffusive model, Journal of Differential Equations 336 (2022), 427-455.
- [♠♣] C. Wang, X.-S. Wang, Y. Xu, B. Zhang, M. Jiang, S. Xiong, Q. Zhang, W. Li, and Q. Li, A new likelihood function for consistent phase series estimation in distributed scatterer interferometry, IEEE Transactions on Geoscience and Remote Sensing 60 (2022), 5227314.
- [♦♣] X. Zhang, F. Scarabel, X.-S. Wang, and J. Wu, Global continuation of periodic oscillations to a diapause rhythm, Journal of Dynamics and Differential Equations 34 (2022), 2819-2839.
- [♦♣] S. Ghimire and X.-S. Wang, Competition and cooperation on predation: Bifurcation theory of mutualism, Journal of Biological Systems 29 (2021), 49-73.
- [♦♣] S. Ghimire and X.-S. Wang, Traveling waves in cooperative predation: Relaxation of sublinearity, Mathematics in Applied Sciences and Engineering 2 (2021), 22-31.
- [♦♣] H. Shu, Z. Ma, and X.-S. Wang, Threshold dynamics of a nonlocal and delayed cholera model in a spatially heterogeneous environment, Journal of Mathematical Biology 83 (2021), 41.
- [♠♦♣] C. J. Browne, X. Pan, H. Shu, and X.-S. Wang, Resonance of periodic combination antiviral therapy and intracellular delays in virus model, Bulletin of Mathematical Biology 82 (2020), 29.
- [♠♥] D. Dai, M. E. H. Ismail, and X.-S. Wang, On a Ramanujan type entire function and its zeros, Journal of Mathematical Analysis and Applications 485 (2020), 123856.
- [♠♥] Y.-T. Li, X.-S. Wang, and R. Wong, Asymptotics of the Wilson polynomials, Analysis and Applications 18 (2020), 237-270.
- [♠♥] W. Long, D. Dai, Y.-T. Li, and X.-S. Wang, Asymptotics of orthogonal polynomials with asymptotic Freud-like weights, Studies in Applied Mathematics 144 (2020), 133-163.
- [♦♣] H. Shu, Z. Ma, X.-S. Wang, and L. Wang, Viral diffusion and cell-to-cell transmission: Mathematical analysis and simulation study, Journal de Mathématiques Pures et Appliquées 137 (2020), 290-313.
- [♦♣] H. Shu, W. Xu, X.-S. Wang, and J. Wu, Complex dynamics in a delay differential equation with two delays in tick growth with diapause, Journal of Differential Equations 269 (2020), 10937-10963.
- [♥] D. Dai, M. E. H. Ismail, and X.-S. Wang, Doubly infinite Jacobi matrices revisited: Resolvent and spectral measure, Advances in Mathematics 343 (2019), 157-192.
- [♠♥] D. Dai, M. E. H. Ismail, and X.-S. Wang, Asymptotics of partition functions in a fermionic matrix model and of related q-polynomials, Studies in Applied Mathematics 142 (2019), 91-105.
- [♠♦♥] W. W. Hager, H. Hou, S. Mohapatra, A. V. Rao, and X.-S. Wang, Convergence rate for a Radau hp collocation method applied to constrained optimal control, Computational Optimization and Applications 74 (2019), 275-314.
- [♠♥] X.-M. Huang, L. Cao, and X.-S. Wang, Asymptotic expansion of orthogonal polynomials via difference equations, Journal of Approximation Theory 239 (2019), 29-50.
- [♦♣] X.-M. Huang and X.-S. Wang, Traveling waves of diffusive disease models with time delay and degeneracy, Mathematical Biosciences and Engineering 16 (2019), 2391-2410.
- [♥] M. E. H. Ismail and X.-S. Wang, On quasi-orthogonal polynomials: Their differential equations, discriminants and electrostatics, Journal of Mathematical Analysis and Applications 474 (2019), 1178-1197.
- [♠♦♣] J. Liu and X.-S. Wang, Numerical optimal control of a size-structured PDE model for metastatic cancer treatment, Mathematical Biosciences 314 (2019), 28-42.
- [♦♣] X. Pan, H. Shu, L. Wang, and X.-S. Wang, Dirichlet problem for a delayed diffusive hematopoiesis model, Nonlinear Analysis: Real World Applications 48 (2019), 493-516.
- [♦♣] H. Shu, X. Pan, X.-S. Wang, and J. Wu, Traveling waves in epidemic models: non-monotone diffusive systems with non-monotone incidence rates, Journal of Dynamics and Differential Equations 31 (2019), 883-901.
- [♠♦] S. Venkatesh, T. Li, X.-S. Wang, C.-C. Yeung, K. Pei, Q.-J. Sun, W. Wu, R. K. Y. Li, M. H. W. Lam, P. K. L. Chan, J. J. Wylie, and V. A. L. Roy, Dual-gated transistor platform for on-site detection of lead ions at trace levels, Analytical Chemistry 90 (2018), 7399-7405.
- [♠♦♥] W. W. Hager, J. Liu, S. Mohapatra, A. V. Rao, and X.-S. Wang, Convergence rate for a Gauss collocation method applied to constrained optimal control, SIAM Journal on Control and Optimization 56 (2018), 1386-1411.
- [♠♥] X.-S. Wang and R. Wong, Asymptotics of Racah polynomials with fixed parameters, Proceedings of the American Mathematical Society 146 (2018), 1083-1096.
- [♦♣] H. Shu and X.-S. Wang, Global dynamics of a coupled epidemic model, Discrete and Continuous Dynamical Systems - Series B 22 (2017), 1575-1585.
- [♠♣] X. Shi, X.-S. Wang, D. Wei, and Y. Wu, A sequential multiple change-point detection procedure via VIF regression, Computational Statistics 31 (2016), 671-691.
- [♦♣] H. Wang and X.-S. Wang, Traveling wave phenomena in a Kermack-McKendrick SIR model, Journal of Dynamics and Differential Equations 28 (2016), 143-166.
- [♠♥] X.-S. Wang, Asymptotic analysis of difference equations with quadratic coefficients, Methods and Applications of Analysis 23 (2016), 155-172.
- [♠♥] X.-S. Wang and R. Wong, Asymptotics of Racah polynomials with varying parameters, Journal of Mathematical Analysis and Applications 436 (2016), 1149-1164.
- [♠♥] D. Dai, W. Hu, and X.-S. Wang, Uniform asymptotics of orthogonal polynomials arising from coherent states, Symmetry, Integrability and Geometry: Methods and Applications 11 (2015), 070, 17 pages.
- [♦♣] C. Paulhus and X.-S. Wang, Global stability analysis of a delayed SIS epidemic model, Journal of Biological Dynamics 9 (2015), suppl. 1, 45-50.
- [♦♣] X.-S. Wang and X.-Q. Zhao, Pulsating waves of a partially degenerate reaction-diffusion system in a periodic habitat, Journal of Differential Equations 259 (2015), 7238-7259.
- [♦♣] X.-S. Wang and L. Zhong, Ebola outbreak in West Africa: Real-time estimation and multiple-wave prediction, Mathematical Biosciences and Engineering 12 (2015), 1055-1063.
- [♠♦] B. Costa Lima, M. R. Grasselli, X.-S. Wang, and J. Wu, Destabilizing a stable crisis: Employment persistence and government intervention in macroeconomics, Structural Change and Economic Dynamics 30 (2014), 30-51.
- [♠♥] D. Dai, M. E. H. Ismail, and X.-S. Wang, Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems, Constructive Approximation 40 (2014), 61-104.
- [♠♣] X. Shi, X.-S. Wang, and N. Reid, Saddlepoint approximation of nonlinear moments, Statistica Sinica 24 (2014), 1597-1611.
- [♠♥] X.-S. Wang, Plancherel-Rotach asymptotics of second-order difference equations with linear coefficients, Journal of Approximation Theory 188 (2014), 1-18.
- [♠♦] X.-S. Wang, Asymptotics of delay differential equations via polynomials, Asymptotic Analysis 90 (2014), 83-103.
- [♠♦] X.-S. Wang, D. He, J. J. Wylie, and H. Huang, Singular perturbation solutions of steady-state Poisson-Nernst-Planck systems, Physical Review E 89 (2014), 022722.
- [♦♣] X.-S. Wang, H. Wang, and J. Wu, Traveling waves of diffusive predator-prey systems: Disease outbreak propagation, Discrete and Continuous Dynamical Systems - Series A 32 (2012), 3303-3324.
- [♠♥] X.-S. Wang and R. Wong, Asymptotics of orthogonal polynomials via recurrence relations, Analysis and Applications 10 (2012), 215-235.
- [♠♦♣] X.-S. Wang and J. Wu, Periodic systems of delay differential equations and the dynamics of avian influenza, (Russian) Contemporary Mathematics. Fundamental Directions 45 (2012), 32-42. English version: Journal of Mathematical Sciences 201 (2014), 693-704.
- [♠♦♣] X.-S. Wang and J. Wu, Seasonal migration dynamics: Periodicity, transition delay and finite-dimensional reduction, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468 (2012), 634-650.
- [♦♣] X.-S. Wang, J. Wu, and Y. Yang, Richards model revisited: Validation by and application to infection dynamics, Journal of Theoretical Biology 313 (2012), 12-19.
- [♠♥] X.-S. Wang and R. Wong, Global asymptotics of the Meixner polynomials, Asymptotic Analysis 75 (2011), 211-231.
- [♠♦♣] X.-S. Wang and J. Wu, Approximating periodic patterns and dynamic threshold for patchy model of migratory birds with delay, Canadian Applied Mathematics Quarterly 19 (2011), 275-292.
- [♠♥] X.-S. Wang and R. Wong, Uniform asymptotics of some q-orthogonal polynomials, Journal of Mathematical Analysis and Applications 364 (2010), 79-87.
- [♠♥] X.-S. Wang, Asymptotics of the q-theta function, Communications in Mathematical Analysis 7 (2009), 50-54.
- [♠♥] X.-S. Wang and R. Wong, Discrete analogues of Laplace's approximation, Asymptotic Analysis 54 (2007), 165-180.
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