𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Note on the Propagation Speed of Travelling Waves for a Lotka–Volterra Competition Model with Diffusion

✍ Scribed by Yukio Kan-on


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
120 KB
Volume
217
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


This paper is concerned with the propagation speed of positive travelling waves for a Lotka᎐Volterra competition model with diffusion. We show that under a certain boundary condition, the propagation speed of the travelling wave is equal to 0. To do this, we employ the method of moving planes proposed by Gidas et al.


📜 SIMILAR VOLUMES


The minimal speed of traveling fronts fo
✍ Yuzo Hosono 📂 Article 📅 1998 🏛 Springer 🌐 English ⚖ 197 KB

This paper concerns the minimal speed of traveling wave fronts for a two-species diffusion-competition model of the Lotka-Volterra type. An earlier paper used this model to discuss the speed of invasion of the gray squirrel by estimating the model parameters from field data, and predicted its speed

Instability of Stationary Solutions for
✍ Yukio Kan-on 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 242 KB

We consider a Lotka᎐Volterra competition model with diffusion on R which describes the dynamics of the population of two competing species, and study the stability of positive stationary solutions of the model relative to the space X of bounded uniformly continuous functions with the supremum norm.

Existence and Instability of Neumann Lay
✍ Yukio Kan-on 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 129 KB

We consider a 3-component Lotka-Volterra model with diffusion which describes the dynamics of the population of two competing prey and one predator, and we discuss the existence of positive stationary solutions and their stability property. To do this, the singular perturbation method and the associ