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math.AP2026
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…
math.AP2025
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…
math.AP2015★ 2 cited
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…