The existence and stability of travelling waves with transition layers for some singular cross-diffusion systems

Existence, uniqueness and asymptotic sta

Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka–Volterra competition system with diffusion

✍ Guangyu Zhao; Shigui Ruan 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 469 KB

We study the existence, uniqueness, and asymptotic stability of time periodic traveling wave solutions to a periodic diffusive Lotka-Volterra competition system. Under certain conditions, we prove that there exists a maximal wave speed c(\*) such that for each wave speed c ≤ c(\*), there is a time p