2 papers
math.AP2026
Sharp logarithmic corrections for a strong-weak Lotka-Volterra competition system
Hongjun Guo, Dongyuan Xiao, Maolin Zhou
We study the one-dimensional strong-weak Lotka-Volterra competition-diffusion system \[ u_t=u_{xx}+u(1-u-av),\qquad v_t=dv_{xx}+rv(1-v-bu), \] with compactly supported initial data…
math.AP2025
Complete Classification of Traveling Waves and Resolution of Linear Conjecture in Monostable Systems
Changhong Wu, Dongyuan Xiao, Maolin Zhou
In this paper, we present a complete classification of traveling wave solutions for monostable systems within a unified framework. To this end, we introduce a novel technique, refe…