Uniqueness and nonuniqueness of coexistence states in the lotka-volterra competition model

Effects of a Degeneracy in the Competiti

Effects of a Degeneracy in the Competition Model: Part I. Classical and Generalized Steady-State Solutions

✍ Yihong Du 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 256 KB

We study the competition model ˛ut (x, t) -d 1 (x) Du(x, t) where the coefficient functions are strictly positive over the underlying spatial region W except b(x), which vanishes in a nontrivial subdomain of W, and is positive in the rest of W. We show that there exists a critical number l g such t