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A Study of Dynamical Model on the Competitive Relationship Between Soil Erosion and Vegetation Growth in Humid Regions

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

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

Lu Han

University of Regina, Regina, SK, Canada

Paper No. IMECE2010-40775, pp. 383-389; 7 pages
doi:10.1115/IMECE2010-40775
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 this study, a new dynamical model is established based on Thornes’ model. Then a detailed competitive and interactive relationship between soil erosion process and vegetation growth process is detected in humid regions. By employing the nonlinear dynamical analyses, a globally asymptotically stable equilibrium point is obtained under given parameters. This stable state indicates the vegetation growth process can coexist with soil erosion process. Furthermore, the transitions among different equilibrium states caused by the variation describe the competitive process in diverse environment. The results show that the soil erosion has effect on the formations of vegetation patterns in humid regions.

Copyright © 2010 by ASME
Topics: Erosion

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