31 citations · 89 across the 8 of their papers we have counts for
8 papers
Population Growth and Competition Models with Decay and Competition Consistent Delay
Chiu-Ju Lin, Ting-Hao Hsu, Gail S. K. Wolkowicz
We derive an alternative expression for a delayed logistic equation in which the rate of change in the population involves a growth rate that depends on the population density duri…
Relaxation Oscillations and the Entry-Exit Function in Multi-Dimensional Slow-Fast Systems
Ting-Hao Hsu, Shigui Ruan
For a slow-fast system of the form , for , we consider the scenario that the system has invar…
A Criterion for the Existence of Relaxation Oscillations with Applications to Predator-Prey Systems and an Epidemic Model
Ting-Hao Hsu, Gail S. K. Wolkowicz
We derive characteristic functions to determine the number and stability of relaxation oscillations for a class of planar systems. Applying our criterion, we give conditions under…
Growth on Two Limiting Essential Resources in a Self-Cycling Fermentor
Ting-Hao Hsu, Tyler Meadows, Lin Wang +1
A system of impulsive differential equations with state-dependent impulses is used to model the growth of a single population on two limiting essential resources in a self-cycling…
Number and Stability of Relaxation Oscillations for Predator-Prey Systems with Small Death Rates
Ting-Hao Hsu
We consider planar systems of predator-prey models with small predator death rate . Using geometric singular perturbation theory and Floquet theory, we derive characteristic f…
On Bifurcation Delay: An Alternative Approach Using Geometric Singular Perturbation Theory
Ting-Hao Hsu
To explain the phenomenon of bifurcation delay, which occurs in planar systems of the form , , where and changes sign…
Viscous singular shock profiles for the Keyfitz-Kranzer system
Ting-Hao Hsu
It was shown by Schecter (2004, J. Differential Equations, 205, 185-210), using the methods of Geometric Singular Perturbation Theory, that the Dafermos regularization $u_t+f(u)_x=…
Viscous singular shock profiles for a system of conservation laws modeling two-phase flow
Ting-Hao Hsu
This paper is concerned with singular shocks for a system of conservation laws modeling incompressible two-phase fluid flow. We prove the existence of viscous profiles using the Ge…