𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of global solutions for a three-species predator-prey model with cross-diffusion

✍ Scribed by P. Y. H. Pang; M. X. Wang

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
106 KB
Volume
281
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this short note, we study a strongly coupled system of partial differential equations which models the dynamics of a two‐predator‐one‐prey ecosystem in which the prey exercises defense switching and the predators collaboratively take advantage of the prey's strategy. We prove the existence of global strong solutions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Global attractor for a three-species pre
Global attractor for a three-species predator-prey model with cross-diffusion
✍ Haojie Guo; Sining Zheng 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB 👁 1 views

## Abstract This paper studies a three‐species predator‐prey model with cross‐diffusion. In a previous paper 11 of Pang and Wang, it was proved that the system admits global classical solutions if the exponents in cross diffusion term satisfy __m__, __l__ ≥ 1. In the present paper, we continue cons

Global weak solutions of a three-dimensi
Global weak solutions of a three-dimensional flow model for a multi-species mixture in porous media
✍ Youcef Amirat; Yue-Jun Peng 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB 👁 2 views

We consider an initial boundary value problem for a non-linear differential system consisting of one equation of parabolic type coupled with a n;n semi-linear hyperbolic system of first order. This system of equations describes the compressible miscible displacement of n#1 chemical species in a poro

Existence and Instability of Neumann Lay
Existence and Instability of Neumann Layer Solutions for a 3-component Lotka–Volterra Model with Diffusion
✍ 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