Abstract
In this article, we study a size-structured population model with infinite states-at-birth and distributed delay in birth process. We establish the well-posedness for this model and show that the solution of this model exhibits an asynchronous exponential growth by means of semigroups.
Acknowledgements
The authors are glad to acknowledge their gratefulness to the anonymous reviewers for valuable comments and suggestions on modifying this manuscript. This work is supported by NSF of China (11171295), NSF of Guangdong Province of China (S2011040001407, LYM10133) and NSF of Zhaoqing University.