𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The linear and nonlinear diffusion of the competitive Lotka–Volterra model

✍ Scribed by Xin-an Zhang; Lansun Chen

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
189 KB
Volume
66
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Periodic Lotka–Volterra Competiti
On the Periodic Lotka–Volterra Competition Model
✍ J.C. Eilbeck; J. López-Gómez 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 344 KB

We analyze the existence, stability, and multiplicity of T-periodic coexistence states for the classical nonautonomous periodic Lotka᎐Volterra competing species model. This is done by treating the average values of the birth rates of species as parameters, and studying the global structure of the se

The minimal speed of traveling fronts fo
The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model
✍ 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
Instability of Stationary Solutions for a Lotka–Volterra Competition Model with Diffusion
✍ 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.

Asymptotic Behavior of the nonautonomous
Asymptotic Behavior of the nonautonomous two-species Lotka-Volterra competition models
✍ Qiu-Liang Peng; Lan-Sun Chen 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 530 KB

the present paper, the nonautonomous two-species Lotka-Volterra competition models are considered, where all the parameters are time-dependent and asymptotically approach periodic functions, respectively. Under some conditions, it is shown that any positive solutions of the models asymptotically app