title: Stationary solutions to a system of size-structured populations with nonlinear growth rate.
abstract: 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.
authors.affiliation: Department of Mathematics , Shimane University, Matsue, Japan.
authors.forename: Nobuyuki
authors.initials: N
authors.lastname: Kato
mesh_terms: D006801:Humans; D008954:Models, Biological; D017711:Nonlinear Dynamics; D011156:Population Density; D011157:Population Dynamics; D013045:Species Specificity