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A Study on Nonlinear Population Dynamics Based on Energy Flow

[+] Author Affiliations
Xinqiang Zhu, Huayong Zhang, Lei Zhao, Tousheng Huang

North China Electric Power University, Beijing, P.R. China

Lu Han

University of Regina, Regina, SK, Canada

Paper No. IMECE2010-40766, pp. 371-375; 5 pages
doi:10.1115/IMECE2010-40766
From:
  • ASME 2010 International Mechanical Engineering Congress and Exposition
  • Volume 8: Dynamic Systems and Control, Parts A and B
  • Vancouver, British Columbia, Canada, November 12–18, 2010
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4445-8
  • Copyright © 2010 by ASME

abstract

In considering energy flow between organism and environment, population dynamics for single species is studied in the present research. When the total available energy of environment is infinite, a model obeying the Malthusian law is obtained. Under the condition of limited total available energy, a model approximate Logistic Model is also established. These two models give a better comprehension on the ecological effects of growth rate and carry capacity of environment.

Copyright © 2010 by ASME

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