Stationary solutions to a system of size-structured populations with nonlinear growth rate

Abstract

To cite this article: Nobuyuki Kato (2012) Stationary solutions to a system of size-structured populations with nonlinear growth rate, Journal of Biological Dynamics, 6:sup1, 42-53, DOI: 10.1080/17513758.2011 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.