GLOBAL BIFURCATION AND LONG TIME BEHAVIOR OF THE VOLTERRA–LOTKA ECOLOGICAL MODEL-Reference-Cited by-同舟云学术

GLOBAL BIFURCATION AND LONG TIME BEHAVIOR OF THE VOLTERRA–LOTKA ECOLOGICAL MODEL

Published:2001-01 Issue:01 Volume:11 Page:133-142
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

LI KAITAI¹,WANG LIZHOU¹

Affiliation:

1. College of Sciences, Xian Jiaotong University, Xian 710049, P.R. China

Abstract

The structure of the positive steady-state solutions for the Volterra–Lotka ecological model of two cooperating species is investigated. Some new results of existence, nonexistence and uniqueness are presented. The existence of a global attractor which is contained in an order interval is shown and the bounds of various dimensions of the attractor are given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127401002067

Reference21 articles.

1. Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations

2. Nonlinear boundary value problems suggested by chemical reactor theory

3. Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion

4. On positive solutions of some pairs of differential equations

5. On positive solutions of some pairs of differential equations, II

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