Zhang Wei-fu, Lü Rong-qing. On the Solution of Two Co-Affected Spedies[J]. Applied Mathematics and Mechanics, 1994, 15(2): 129-138.
Citation: Zhang Wei-fu, Lü Rong-qing. On the Solution of Two Co-Affected Spedies[J]. Applied Mathematics and Mechanics, 1994, 15(2): 129-138.

On the Solution of Two Co-Affected Spedies

  • Received Date: 1992-09-12
  • Publish Date: 1994-02-15
  • This paper discusses a model of two coeffected species with diffusion system,where the birth functions have the characteristic index decline, and then the eircumstance factors αi which are connected with natural resources, and the birth parameters βi which could be controlled are introduced.By means of the upper-lowersolutions,the existence,uniqueness and the local stability of equilibrium solution of the moel are discussed.It's discovered that the birth parameters βi determine the developing tendency when other parameters are comparatively stable.
  • loading
  • [1]
    Gurtin, M. E. and R. C. MacCamy, Nonlinear age-dependent population dynamics, Arch. Rat. Mech. Anal., 54(1974), 281-300.
    [2]
    宋健,人口系统的稳定性理论和临界妇女生育率,自动化学报,7(1) (1981), 1-12.
    [3]
    冯德兴,非线性人口发展方程的稳定性,数学物理学报,8(2) (1988), 159-167.
    [4]
    Venturino, E., Age-structure predater-prey models, Mathematical Modelling, 6 (1984), 117-128.
    [5]
    Langlais, M., Asympotic behavior in some evolution equation arising in population dynamics, Proceeding of Problems Elliptiques, Etparabliques Nonlinear, Nancy (1988).
    [6]
    Webb, G. F., Theory of Nonlinear Age-Dependent Population Dynamics, Manuscritp(1986).
    [7]
    Weinstock, E. and C. Rorres, Local stability of an age-structured population with density-dependent fertility and mortality, SIAM, J. Appl. Math., 47, 3 (1987), 589-603.
    [8]
    Pao, C. V., Coexistence and stability of a competition-diffussion system in population dynamics, J. Math. Anal. Appl., 83(1981), 54-74.
    [9]
    叶其孝,《反应扩散方程引论》,科学出版社(1990).
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2047) PDF downloads(450) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return