Shangbing Ai, Ph.D.

Professor, Mathematical Science

Contact

301 Sparkman Drive
Shelby Center
Room 258L
Huntsville, AL 35899
Campus Map

256.824.2229
ais@uah.edu

Biography

Curriculum Vitae

Education

  • Ph.D., Applied Mathematics, University of Pittsburgh, 1999
  • M.S., Mathematics, Shandong University, China, 1987
  • B.S., Computational Mathematics, Shandong University, China 1984

Honors & Awards

  • Andrew-Mellon Predoctoral Fellowship, Univ. of Pittsburgh (9/97 -5/98)
  • Postdoctoral Fellowship, Georgia Institute of Technology (8/00 -5/02)
  • UAH start-up fund (8/02 -5/08): $5000.00
  • UAH Mini-Grant award (1/03 -12/03): $8381.00
  • Guest Professor (5/15 -5/18): Jiangsu Normal University, China
  • Visiting Scholar at The Hong Kong Polytechnic University, June 24--30, 2018.
  • Visiting Scholar at The Shandong University, China, July 2--22, 2018.

Expertise

  • Differential equations
  • Dynamical systems
  • Mathematical biology

Recent Publications

  • S. Ai, Bounded/periodic solutions for a class of scalar delay differential equations, Proceedings of the American Mathematical Society 151 (2023), 3547-3560.

  • S. Ai, Y. Du, Y. Jiao and R. Peng, Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems, Nonlinearity, 36 (2023), 2371-2402. DOI 10.1088/1361-6544/acc303

  • Ai, J. Li, J. Yu and B. Zheng, Stage-structured models for interactive wild and periodically and impulsively released sterile mosquitoes. Discrete & Continuous Dynamical Systems-B, 27 (2022), 2935-2957.

  • S. Ai and M. Fox, Four positive equilibria in a model for sterile and wide mosquito populations. Applied Math. Letter, 121 (2021), 107409.

  • S. Ai and Y. Yi, Relaxation oscillations in predator-prey systems. Journal of Dynamics and Differential Equations (2021), 1-28. 

  • X. Hu, S. Fu and S. Ai, Global asymptotic behavior of solutions for a parabolic-parabolic-ode chemotaxis system modeling multiple sclerosis. Journal of Diff. Equations, 269 (2020), 6875-6898.

  • J. Li and S. Ai, Impulsive releases of sterile mosquitoes and interactive dynamics with time delay, J. Biological Dynamics, 14 (2020), 313-331.

  • S. Ai and S. Sadhu, The entry-exit theorem and relaxation oscillations in slow-fast planar systems. J. Diff. Equations, 268 (2020), 7220-7249.

  • S.Ai and C. Cowan, Critical elliptic equations via a dynamical systems approach, Nonlinear Analysis, 182(2019),97-112.

  • Liming Cai, S Ai, and Guihong Fan, Dynamics of delayed mosquitoes' populations models with two different strategies of releasing sterile mosquitoes Mathematical Biosciences and Engineering, 15 (2018), 1181-1202