31 citations · 89 across the 8 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.DS2018★ 8 cited
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…
math.DS2018
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…
math.CA2018★ 31 cited
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…