2 citations · 3 across the 5 of their papers we have counts for
5 papers
Propagation-Window Bounds in Degenerate Plant-Consumer Reaction-Diffusion Systems
Chiun-Chuan Chen, Ting-Yang Hsiao, Li-Chang Hung +2
We study traveling waves in high-dimensional plant--consumer reaction--diffusion systems with competing plants and associated consumers. We focus on the degenerate case in…
Propagating Direction Near the Strong-Competition Borderline in the Two-Species Lotka-Volterra Model
Chiun-Chuan Chen, Shun-Chieh Wang
This study investigates the propagating direction of bistable traveling waves in the two-species Lotka-Volterra competition-diffusion model under strong competition. From an ecolog…
Non-Monotone Traveling Waves of the Weak Competition Lotka-Volterra System
Chiun-Chuan Chen, Ting-Yang Hsiao, Shun-Chieh Wang
We investigate traveling wave solutions in the two-species reaction-diffusion Lotka-Volterra competition system under weak competition. For the strict weak competition regime $(b<a…
Savanna dynamics with grazing, browsing, and migration effects
Chiun-Chuan Chen, Ting-Yang Hsiao, Shun-Chieh Wang
This article explores the dynamics of savanna ecosystems with grazing, browsing, and migration effects. Covering over one-eighth of the Earth's land area and supporting about one-f…
An N-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems
Li-Chang Hung
By employing the N-barrier method developed in the paper, we establish a new N-barrier maximum principle for diffusive Lotka-Volterra systems of two competing species. As an applic…