Mathematical Biology, Cell Biology, Nonlinear Partial Differential Equations.

- Advacnes of Advantageous Genes for a Multiple-Allele Population Genetics Model (with Linlin Su) J. Theoretical Biology (accepted)
- Patterns for Four-Allele Population Genetics Model (with Linlin Su) Theoretical Population Biology (2012) 81:273-283
- Coexisting stable equilibria in a multiple-allele population genetics model (with Linlin Su and Colbert Sesanker) arXiv:1108.5110v1[q-bio.PE] (not refereed)
- One-dimensional viscoelastic cell motility models. (with Sergey Zheltukhin) Math. Biosciences (2011) 229:30-40
- Stacked fronts for cooperative systems with equal diffusion coefficients. (with Masato Iida and Hirokazu Ninomiya) SIAM J. Math Analysis (2011) 43:1369-1389
- A reduction method for multiple time scale stochastic reaction networks with non-unioque equilibrium probability. (with Chang H. Lee) J. Math. Chem.(2010) 47:750-770
- Traveling wave solutions from microscopic to macroscopic chemotaxis models. (with Zhian Wang) J. Math. Biology (2010) 61:739-761
- A review of reduction methods for mutiple time scale stochastic reaction networks (with Chang H. Lee) Mathematical Chemistry, Nova Science Publishers (2009) (not refereed)
- A reduction method for multiple time scale stochastic reaction network.(with Chang H Lee) J. Math. Chem. (2009) 46:1292-1321
- Exploring the control circuit of cell migration by mathematical modeling. (with Javier Satulovsky and Yu-li Wang) Biophysical J. (2008) 94:3671-3683
- Numerical computations of a moving boundary problem in cell motility. (with Ravi Vuta and Gretar Tryggvason) SJI J. Math. Sciences (2007) issue 1, vol. 1.
- Spreading speed and traveling wave solutions of a partially sedentary population. (with Darko Volko) IMA J. Appl. Math. (2007)) 72:801-816.
- Existence of traveling domain solutions for a two-dimensional moving boundary problem. (with Y. Choi) Trans. AMS (2009) 361:4027-4044
- Moving boundary problems arising in a cell motility model. Proceedings of Ryukoku Workshop 2005. (not refereed)
- Linearized stability of traveling cell solution arising from a moving boundary problem. (with Y. Choi) Proceedings of American Mathematical Society (2007) 135, 743-753.
- Vapor leak detection for an underground storage tank system. (with Michael Pyzocha and Robert W. Thompson) J. of Environmental Engineering (2006) 132, 926-930.
- Moving boundary problems for a one-dimensional crawling nematode sperm cell model. (with Y. Choi and Patrick Groulx) Nonlinear Analysis: Real World Applications (2005) 6, 874-898.
- Existence of traveling wave solutions for a one-dimensional cell motility model. (with Y. Choi) Taiwanese Journal of Mathematics (2004), 8, 399-414.
- Traveling wave solutions for a one-dimensional crawling nematode sperm cell model. (with Y. Choi and Juliet Lee) J. Math. Biology (2004), 49, 310-328.
- Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly-coupled cross diffusion. (with Y. Choi and Yoshio Yamada) Discrete and Continuous Dynamical Systems (2004), 10, 719-730.
- Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion. (with Y. Choi and Yoshio Yamada) Discrete and Continuous Dynamical Systems, (2003) 9, 1193-1200.
- Global existence of solutions of a strongly-coupled quasilinear parabolic system with applications to electrochemistry. (with Y. Choi and Zhongdan Huan) J. Differential Equations (2003) 194, 406-432.
- The one-dimensional reduced semiconductor equations for an asymmetric two-piece doping function, Nonlinearity, (2002) 15, 201-217 (with Pete Schultz).
- Uniqueness of steady-states and asymptotic behavior of space charge in liquid junction model with insulation, Nonlinar Analysis, Series B : Real World Applications, (2002) 3, 227-241 (with Christopher J. Larsen).
- Steady-state solutions of electro-diffusion of ions models, Dynamics of Continuous, Discrete and Impulsive Systems, (1999) 6, p. 271.
- Electrokinetic remediation of contaminated soil, Proceedings of Second World Congress of Nonlinear Analysts, 1997 (with Betty Liu).
- An Integral-differential equation arising from an electrochemistry model, Quarterly Journal of Applied Mathematics. (1997) 55, pp. 677-686 (with Y. Choi).
- A Mathematical Model for the Electrokinetic remediation of contaminated soil, J. of Hazardous Materials, (1996) 44, 61-75 (with Y. Choi).
- Multi-dimensional electrochemistry model. Archive Rational Mechanics and Analysis, (1995) 130, 315-342 (with Y. Choi).
- Global stability of solutions of an electrochemistry model with multiple species. Journal of Differential Equations, (1995) 116, 306-317, (with Y. Choi).
- Existence and stability of traveling wave solutions for a population genetic model via singular perturbations. SIAM J. Applied Mathematics, (1994) 54, 231-248 (with Jack Dockery).
- Electrolysis and Electrophoresis. IMA J. of Applied Mathematics, (1994) 52, 105-122 (with Y. Choi and Xun Yu).
- Long-time behavior of solutions of an electrophoretic model with a single reaction. IMA J. of Applied Mathematics (1993) 50, 239-252. (with Y. Choi).
- Uniqueness of stead-state solutions for an electro chemistry model with multiple species. Journal of Differential Equations, (1994) 108, 424-437 (with Y. Choi).
- Analysis of an electro chemistry model with zero-flux boundary conditions. Applicable Analysis (1993) 49, 277-288 (with Y. Choi).
- Analysis of a continuous crystallizer with agglomeration. Chemical Engineering Science, (1992) 47, 1897-1901 (with Robert W. Thompson).
- Density-dependent selection-migration model with non-monotone fitness functions. Journal of Mathematical Biology, (1993) 31, 717-734 (with James F. Belgrade).
- Existence of traveling wave solutions for a bistable evolutionary ecology model. SIAM J. on Mathematical Analysis, (1992) 23, 870-888 (with Jack Dockery).
- Stability of traveling wave solutions for a bistable evolutionary ecology model. Nonlinear Analysis-Theory, Methods and Applications, (1993) 20, 11-25.
- Positive solutions of an elliptic system arising from a model in evolutionary ecology. Journal of Mathematical, Biology (1991) 29, 239-250.
- Existence and stability of traveling wave solutions for a simplified bistable evolutionary ecology model. Nonlinear Analysis-Theory, Methods and Applications, (1991) 16, 233-240.
- Existence of traveling wave solutions for an evolutionary ecology model. Proceedings of Royal Society of Edinburgh A, (1990) 115, 1-18.
- Asymptotic behavior of solutions to an evolutionary ecology modelwith diffusion. SIAM J. on Applied Mathematics, (1989) 49, 1447-1461.
- Convergence to constant equilibrium states for a density-dependent selection model with diffusion. Journal of Mathematical Biology, (1988) 26, 582-592.
- Biological growth and spread modeled by systems of recursions II. biological theory. Mathematical Biosciences (1989) 93, 297-312.
- Biological growth and spread modeled by systems of recursions I. mathematical theory. Mathematical Biosciences (1989) 93, 269-295.
- Signal detection for Pareto Renewal Processes. Pakistan Journal ofStatistics, (1987) 3, 1-53 (with C.B.Bell, R. Ahmad, C.J. Park).
- The effect of logistic growth on interacting populations that disperse to avoid crowding. Communications o Partial Differential Equations, (1987) 12, 1117-1132 (with Clayton Keller).
- Existence of steady-state solution of predator-prey equations in a heterogeneous environment. Journal of Mathematical Analysis and Applications, (1987) 123, 306-323 (with Clayton Keller).
- Some remarks about the wave speed and traveling wave solution of a nonlinear integral operator. Journal of Mathematical Biology, (1984) 20, 59-68 (with Paul Creegan).
- A nonlinear integral operator arising from a model in population genetics, IV. clines. SIAM J. on Mathematical Analysis, (1986) 17, 152-168.
- A nonlinear integral operator arising from a model in population genetics, III. heterozygote inferior case. SIAM J. on Mathematical Analysis, (1985) 16, 1180-1206.
- Existence and stability of traveling wave solutions of a nonlinear integral operator. Journal of Mathematical Biology, (1983) 16, 199-220.
- A nonlinear integral operator arising from a model in population genetics, II. initial data with compact support. SIAM J. on Mathematical Analysis, (1982) 13, 938-953.
- A nonlinear integral operator arising from a model in population genetics. I. monotone initial data, SIAM J. on Mathematical Analysis, (1982) 13, 913-937.