On the well-posedness of a nonlinear hierarchical size-structured population model

Yan Liu; Ze-Rong He

doi:10.21914/anziamj.v58i0.10831

Authors

Yan Liu China JiLiang University
Ze-Rong He Hangzhou Dianzi University

DOI:

https://doi.org/10.21914/anziamj.v58i0.10831

Keywords:

well-posedness, hierarchical, size-structured, comparison principle.

Abstract

We analyse a nonlinear hierarchical size-structured population model with time-dependent individual vital rates. The existence and uniqueness of nonnegative solutions to the model are shown via a comparison principle. Our investigation extends some results in the literature. doi:10.1017/S1446181117000025

Author Biographies

Yan Liu, China JiLiang University

Department of Mathematics

Ze-Rong He, Hangzhou Dianzi University

Institute of Operational Research and Cybernetics