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)
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.