Shangbing Ai
Associate Professor
Address Information
- Office: 258M Shelby Center
- Voice: (256) 824-2229
- Fax: (256) 824-6173
- E-mail: ais@email.uah.edu
Education
Ph.D., University of Pittsburgh, Pittsburgh, 1999
Teaching
Research Interests
Differential equations, dynamical systems, mathematical biology
Publications
- Shangbing Ai, Stationary periodic and homoclinic solutions for nonlocal reaction-diffusion equations,
Applicable Analysis, 89 (2010), 963-981. [ Journal Link]
- Shangbing Ai, Traveling waves for a model of a fungal disease over a vineyard, SIAM. J. Math. Anal., 42 (2010),
833-856. [ Journal Link]
- Shangbing Ai, Self-similar solutions with algebraic decay for a nonlocal coagulation equation, Nonlinearity, 23 (2010), 579-587. [Journal Link]
- Shangbing Ai, Traveling waves in modelling of aerosolised skin grafts, Physica D: Nonlinear Phenomena, 237 (2008), 2761-2766. [Journal Link]
- Shangbing Ai and John Pelesko, Dynamics of a canonical electrostatic MEMS/NEMS system, J. Dynam. Diff. Eqns. 20 (2008), 609-641. [Journal Link] [ pdf ]
- Shangbing Ai, Global stability of equilibria in a tick-borne disease model, Math. Biosci. Eng. 4 (2007), 567-572. [ pdf ]
- Shangbing Ai, Traveling waves in a bioremediation model, SIAM J. Appl. Math. 68 (2007), 680-693. [Journal Link]
- Shangbing Ai, Travelling wave fronts for generalized Fisher equations with spatio-temporal delays, J. Diff. Eqns. 232 (2007), 104-133. [Journal Link]
- Shangbing Ai and Wenzhang Huang, Travelling wave fronts in Combustion and Chemical Reaction Models, Proc. Roy. Soc. Edinburgh Sect A 137 (2007), 671-700. [Journal link]
- Shangbing Ai, Xinfu Chen and Stuart P. Hastings, Layers and spikes in nonhomogeneous bistable reaction-diffusion equations, Trans. Amer. Math. Soc. 358 (2006), 3169-3206. [Journal Link
- Shangbing Ai and Wenzhang Huang, Travelling waves for a reaction-diffusion system in population dynamics and epidemiology, Proc. Roy. Soc. Edinburgh Sect. A 135 (2005), 663-676. [Journal Link]
- Shangbing Ai, Homoclinic solutions to the Gray-Scott model, Appl. Math. Lett. 17 (2004), 1357-1361. [Journal Link]
- Shangbing Ai, Multiple Positive Periodic Solutions for a delay host macroparasite model, Commun. Pure Appl. Anal. 3 (2004), 175-182. [Journal Link] [ pdf ]
- Shangbing Ai, Shui-Nee Chow and Yingfei Yi, Travelling wave solutions in a tissue interaction model for skin pattern formation, J. Dynam & Diff Eqns. 15 (2003), 517-534. [Journal Link] [ pdf ]
- Shangbing Ai, Existence of travelling wave solutions in a tissue interaction model for skin pattern formation, J. Nonlinear Sci. 13 (2003), 449-470. [Journal Link] [ pdf ]
- Shangbing Ai, Multi-bump solutions to Carrier's problem, J. Math. Anal. Appl. 277 (2003), 405-422. [Journal Link]
- Shangbing Ai, A solution to the problem 2000-3, Problem Section, Electronic J. Differential Equations, [http://math.uc.edu/ode/20003/20003.html]
- Shangbing Ai and Sturt P. Hastings, A shooting approach to layers and chaos in a forced Duffing equation, J. Diff. Eqns. 185 (2002), 389-436. [Journal Link]
- Shangbing Ai, Multi-pulse like orbits for a singularly perturbed nearly-integrable system, J. Diff. Eqns. 179 (2002), 384-432. [Journal Link]
- Shangbing Ai, Asymptotic formula for solutions of linear delay difference systems, J. Math. Anal. Appl. 264 (2001), 206-229. [Journal Link]
- Shangbing Ai, Periodic Solutions in a model of competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor, J. Math. Biol. 42 (2001), 71-94. [Journal Link] [ pdf ]
- Shangbing Ai and Xinfu Chen, Solitons of the two-dimensional 3-component gauged sigma model, J. Diff. Eqns. 153 (1999), 61--81. [Journal Link] [ pdf ]
- Shangbing Ai, Asymptotic integration of delay differential systems, J. Math. Anal. Appl. 165 (1992), 71--101. [Journal Link] [ pdf ]