Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (3): 327-334 .doi: https://doi.org/10.1007/s10483-006-0307-1

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EVOLUTIONARY DYNAMIC MODEL OF POPULATION WITH NICHE CONSTRUCTION AND ITS APPLICATION RESEARCH

LI Zi-zhen, HAN Xiao-zhuo, LI Wen-long   

    1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, P. R. China;
    2. Key Laboratory of Arid Agroecology under Ministry of Education, Lanzhou University, Lanzhou 730000, P. R. China;
    3. School of Pastoral Agriculture Science and Technology, Lanzhou University, Lanzhou 730000, P. R. China
  • Received:2004-12-24 Revised:2005-09-12 Online:2006-03-18 Published:2006-03-18
  • Contact: LI Zi-zhen

Abstract: Based on the theories and approaches in biomechanics, the mechanism and pattern of niche construction were discussed systematically. Through establishing the spatial pattern of niche and its measuring-fitness formula, and the dynamic system models of single- and two-population with niche construction, including corresponding theoretical analysis and numerical simulation on their evolutionary dynamics of population and the mechanism of competitive coexistence, the co-evolutionary relationship between organisms and their environments was revealed. The results indicate that population dynamics is governed by positive feedback between primary ecological factors and resource content. Niche construction generates an evolutionary effect in system by influencing the fitness of population. A threshold effect exists in single population dynamic system. In dynamic system of two competitive populations, niche construction can lead to alternative competitive consequences, which may be a potential mechanism to explain the competitive coexistence of species.

Key words: niche construction, population dynamics, evolutionary kinetics, model, competitive coexistence

2010 MSC Number: 

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