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Two New Competition Indexes on the Basis of Lotka-Volterra Competition Model

[+] Author Affiliations
Huayong Zhang, Tousheng Huang

North China Electric Power University, Beijing, China

Liming Dai

University of Regina, Regina, SK, Canada

Paper No. IMECE2013-63250, pp. V04BT04A037; 5 pages
doi:10.1115/IMECE2013-63250
From:
  • ASME 2013 International Mechanical Engineering Congress and Exposition
  • Volume 4B: Dynamics, Vibration and Control
  • San Diego, California, USA, November 15–21, 2013
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5625-3
  • Copyright © 2013 by ASME

abstract

In this research, two competition indexes, competing capacity and competing tensor, are brought forward to better understand the interspecific competition between species. With the employment of the two indexes, the competitive process in Lotka-Volterra model can be described much clearly. The strength of competition for a species is divided into three competition grades according to the competing tensor. In the interspecific competition, when two species are in different competition grades, the weak species will be excluded; when two species are in the same grade, the coexistent equilibrium will present. Two cases are studied with the methods by employing the two indexes. In the second case, the stability of equilibrium point is determined by the competing tensor. The new indexes have shown potential in population dynamics analysis.

Copyright © 2013 by ASME

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