Ph.D. 1990 Iowa State University
M.S. 1984 Huazhong University of Science and Technology, PRC
B.S. 1981 Wuhan University of Technology, PRC
Dr. Keng Deng earned his Ph.D. in Applied Mathematics at Iowa State University in 1990. Upon graduation, he became Assistant Professor of mathematics at the University of Louisiana at Lafayette. In 1995, Dr. Deng was granted tenure and promoted to Associate Professor. He then advanced to Professor in 2001.
Dr. Deng's field of research is Partial Differential Equations with an emphasis on nonlinear problems arising from applied sciences. In this area, over 80 of his research papers have been published in professional journals. As a PI or Co-PI, Dr. Deng has received National Science Foundation grants exceeding $450,000. He has also directed twelve doctoral students.
Selected research publications:
- A lower bound on the blow up time for solutions of a chemotaxis system with nonlinear chemotactic sensitivity (with J. R. Anderson), Nonlinear Anal. 159 (2017), 2-9
- Extinction and uniform strong persistence of a size-structured population model (with Y. Wu), Discrete Contin. Dynam. Sys. Ser. B. 22 (2017), 831-840.
- Dynamics of a susceptible–infected–susceptible epidemic reaction–diffusion model (with Y. Wu), Proc. Royal Soc. Edinburgh Sect. A 146 (2016), 929-946.
- Global behavior of solutions to the fast diffusion equation with boundary flux governed by memory (with J. R. Anderson and Q. Wang), Math. Methods Appl. Sci. 39 (2016), 4451-4462.
- Global existence and blow-up for the fast diffusion equation with a memory boundary condition (with Q. Wang), Quart. Appl. Math. 74 (2016), 189-199.
- Competitive exclusion and coexistence in a two-strain pathogen model with diffusion (with A. S. Ackleh and Y. Wu), Math. Biosci. Engineering 13 (2016), 1-18.
- On the diffusive Nicholson's blowflies equation with distributed delay (with Y. Wu), Appl. Math. Letters 50 (2015), 126-132.
- Sensitivity analysis for a nonlinear size-structured population model (with Y. Wang), Quart. Appl. Math. 73 (2015), 401-417.
- Global stability for a nonlocal reaction-diffusion population model (with Y. Wu), Nonlinear Anal. Real World Appl. 25 (2015), 127-136.
- Analysis of a characteristics scheme for a quasilinear hierarchical size-structured model (with Y. Wang), Numer. Funct. Anal. Optim. 36 (2015), 329-349.