A monotone approximation for a nonlinear nonautonomous size-structured population model

摘要

We develop a monotone approximation, based on upper and lower solutions technique, for solving a nonlinear nonautonomous size-structured model with competition between individuals. Such an approximation results in the existence and uniqueness of the solution for the model problem. It also provides a practicable and efficient numerical scheme. Furthermore, we establish a first order convergence result and present a numerical example.