Ting-Hao Hsu
Publications
-- Peer-Reviewed
-
Relaxation oscillations and the entry-exit function in multi-dimensional slow-fast systems.
SIAM J. Math. Anal., Accepted.
[arXiv]
(Jointly with Shigui Ruan)
-
A criterion for the existence of relaxation oscillations
with applications to predator-prey systems
and an epidemic model.
Discrete Contin. Dyn. Syst. Ser. B, 25(4):1257-1277, 2020.
[DOI]
[arXiv]
(Jointly with Gail S. K. Wolkowicz)
-
Number and stability of relaxation oscillations for predator-prey systems with small death rates.
SIAM J. Appl. Dyn. Syst., 18(1):33-67, 2019.
[DOI]
[arXiv]
-
Growth on two limiting essential resources in a self-cycling fermentor.
Math. Biosci. Eng., 16 (1): 78-100, 2019.
[DOI]
[arXiv]
(Jointly with Tyler Meadows, Lin Wang, and Gail S. K. Wolkowicz)
-
On bifurcation delay:
An alternative approach using Geometric Singular Perturbation Theory.
J. Differential Equations,
262(3):1617-1630, 2017.
[DOI]
[arXiv]
-
Viscous singular shock profiles for a system of conservation laws modeling two-phase flow.
J. Differential Equations,
261(4):2300-2333, 2016.
[DOI]
[arXiv]
-
Competitive exclusion of microbial species for a single nutrient with internal storage.
SIAM J. Appl. Math.,
68(6):1600-1617, 2008.
[DOI]
(Jointly with Sze-Bi Hsu)
-- Preprints
-
Viscous singular shock profiles for the Keyfitz-Kranzer system.
[arXiv]
-- In Progress
-
(with Chiu-Ju Lin and Gail S. K. Wolkowicz)
A decay-consistence delay model for two species competition.
-
(with Barbara Keyfitz, Maciej Krupa, and Charis Tsikkou)
singular shocks in a chromatography model with mixed generalized Langmuir isotherm.
Presentations
-
Mathematics Colloquium,
University of Maine
Orono, Maine, January 2020
-
Mathematics Colloquium,
University of Tennessee at Chattanooga
Chattanooga, Tennessee, January 2020
-
2019 Canadian Mathematical Society CMS Winter Meeting
Toronto, Ontario, December 6-9, 2019
-
Mathematics Colloquium,
Nova Southeastern University
Fort Lauderdale, Florida, October 2019
-
SIAM Conference on Applications of Dynamical Systems
Snowbird, Utah, May 2019
-
American Mathematical Society AMS Sectional Meeting
Special Session on Differential Equations in Mathematical Biology
Auburn, Alabama, March 2019
-
Applied Math Seminar,
University of Miami
Coral Gables, Florida, October 2018
-
The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
Taipei, Taiwan, July 2018
-
2017 Canadian Mathematical Society CMS Winter Meeting
Scientific Session on Dynamics of Microbial Systems
Waterloo, Ontario, December 2017
-
Mathematics Colloquium, University of New Brunswick
Fredericton, New Brunswick, October 2017
-
Applied Mathematics, Modeling and Computational Science AMMCS International Conference
Scientific Session on Delay Equations: Theory and Applications
Waterloo, Ontario, August 2017
-
2016 Canadian Mathematical Society CMS Winter Meeting
Scientific Session on Mathematical Population Biology
Niagara Falls, Ontario, December 2016
-
Mathematical Biology Seminar,
McMaster University
Hamilton, Ontario, October 2016
-
SIAM Minisymposium on Conservation Laws with Singular Shocks
Boston, Massachusetts, July 2016
-
Analysis of PDEs using Dynamical Systems Techniques,
Boston University
Boston, Massachusetts, June 2016
-
Differential Equation Seminar,
North Carolina State University
Raleigh, North Carolina, April 2016
-
American Mathematical Society AMS Sectional Meeting
Special Session on Nonlinear Conservation Laws and Applications
Las Vegas, Nevada, April 2015
-
International Council for Industrial and Applied Mathematics ICIAM Workshop
Columbus, Ohio, May 2014 (Poster)
-
Prairie Analysis Seminar,
Kansas State University
Manhattan, Kansas, September 2013
SIAM J. Math. Anal., Accepted. [arXiv] (Jointly with Shigui Ruan)
Discrete Contin. Dyn. Syst. Ser. B, 25(4):1257-1277, 2020. [DOI] [arXiv] (Jointly with Gail S. K. Wolkowicz)
SIAM J. Appl. Dyn. Syst., 18(1):33-67, 2019. [DOI] [arXiv]
Math. Biosci. Eng., 16 (1): 78-100, 2019. [DOI] [arXiv] (Jointly with Tyler Meadows, Lin Wang, and Gail S. K. Wolkowicz)
J. Differential Equations, 262(3):1617-1630, 2017. [DOI] [arXiv]
J. Differential Equations, 261(4):2300-2333, 2016. [DOI] [arXiv]
SIAM J. Appl. Math., 68(6):1600-1617, 2008. [DOI] (Jointly with Sze-Bi Hsu)
- Viscous singular shock profiles for the Keyfitz-Kranzer system. [arXiv]
- (with Chiu-Ju Lin and Gail S. K. Wolkowicz) A decay-consistence delay model for two species competition.
- (with Barbara Keyfitz, Maciej Krupa, and Charis Tsikkou) singular shocks in a chromatography model with mixed generalized Langmuir isotherm.
-
Mathematics Colloquium,
University of Maine
Orono, Maine, January 2020 -
Mathematics Colloquium,
University of Tennessee at Chattanooga
Chattanooga, Tennessee, January 2020 -
2019 Canadian Mathematical Society CMS Winter Meeting
Toronto, Ontario, December 6-9, 2019 -
Mathematics Colloquium,
Nova Southeastern University
Fort Lauderdale, Florida, October 2019 -
SIAM Conference on Applications of Dynamical Systems
Snowbird, Utah, May 2019 -
American Mathematical Society AMS Sectional Meeting
Special Session on Differential Equations in Mathematical Biology
Auburn, Alabama, March 2019 -
Applied Math Seminar,
University of Miami
Coral Gables, Florida, October 2018 -
The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
Taipei, Taiwan, July 2018 -
2017 Canadian Mathematical Society CMS Winter Meeting
Scientific Session on Dynamics of Microbial Systems
Waterloo, Ontario, December 2017 -
Mathematics Colloquium, University of New Brunswick
Fredericton, New Brunswick, October 2017 -
Applied Mathematics, Modeling and Computational Science AMMCS International Conference
Scientific Session on Delay Equations: Theory and Applications
Waterloo, Ontario, August 2017 -
2016 Canadian Mathematical Society CMS Winter Meeting
Scientific Session on Mathematical Population Biology
Niagara Falls, Ontario, December 2016 -
Mathematical Biology Seminar,
McMaster University
Hamilton, Ontario, October 2016 -
SIAM Minisymposium on Conservation Laws with Singular Shocks
Boston, Massachusetts, July 2016 -
Analysis of PDEs using Dynamical Systems Techniques,
Boston University
Boston, Massachusetts, June 2016 -
Differential Equation Seminar,
North Carolina State University
Raleigh, North Carolina, April 2016 -
American Mathematical Society AMS Sectional Meeting
Special Session on Nonlinear Conservation Laws and Applications
Las Vegas, Nevada, April 2015 -
International Council for Industrial and Applied Mathematics ICIAM Workshop
Columbus, Ohio, May 2014 (Poster) -
Prairie Analysis Seminar,
Kansas State University
Manhattan, Kansas, September 2013