David Malone Chan

Works (3)

Updated: July 5th, 2023 16:00

2004 journal article

Probabilities of extinction, weak extinction permanence, and mutual exclusion in discrete, competitive, Lotka-Volterra systems

Computers & Mathematics With Applications, 47(03-Feb), 365–379.

By: D. Chan & J. Franke

Source: NC State University Libraries
Added: August 6, 2018

2004 journal article

Probabilities of extinction, weak extinction, permanence, and mutual exclusion in discrete, competitive, Lotka-Volterra systems that involve invading species

MATHEMATICAL AND COMPUTER MODELLING, 40(7-8), 809–821.

By: D. Chan* & J. Franke n

author keywords: extinction; permanence; mutual exclusion; competition; Lotka-Volterra; weak extinction; invader; strongly permanent
TL;DR: The probabilities of various biological asymptotic dynamics are computed for a stable system that is invaded by another competing species and it is found that multiple extinctions that include the invading species and one of the original species are impossible. (via Semantic Scholar)
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2001 journal article

Multiple extinctions in a discrete competitive system

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2(1), 75–91.

By: D. Chan n & J. Franke n

author keywords: extinction; Lyapunov function; omega-limit set; weakly dominate; competition
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
13. Climate Action (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

Citation Index includes data from a number of different sources. If you have questions about the sources of data in the Citation Index or need a set of data which is free to re-distribute, please contact us.

Certain data included herein are derived from the Web of Science© and InCites© (2025) of Clarivate Analytics. All rights reserved. You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.