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  • 标题:Stationary solutions to a system of size-structured populations with nonlinear growth rate
  • 本地全文:下载
  • 作者:Nobuyuki Kato
  • 期刊名称:Journal of Biological Dynamics
  • 印刷版ISSN:1751-3758
  • 电子版ISSN:1751-3766
  • 出版年度:2012
  • 卷号:6
  • 期号:sup1
  • 页码:42-53
  • DOI:10.1080/17513758.2011.587546
  • 出版社:Taylor & Francis
  • 摘要:We study stationary solutions to a system of size-structured population models with nonlinear growth rate. Several characterizations of stationary solutions are provided. It is shown that the steady-state problem can be converted into different problems such as two types of eigenvalue problems and a fixed-point problem. In the two-species case, we give an existence result of nonzero stationary solutions by using the fixed-point problem.
  • 关键词:system of size-structured populations; stationary solutions; nonlinear growth rate
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