A free boundary problem for a class of nonlinear nonautonomous size-structured population model

ABSTRACT

In this paper, we study a free boundary problem for a class of nonlinear nonautonomous size-structured population model. Using the comparison principle and upper–lower solution methods, we establish the existence of the solution for such kind of a model.

Keywords:

• Population model
• free boundary problem
• upper–lower solution methods
• existence

AMS Subject Classifications:

• 35A01
• 35D30
• 35F20
• 35R35

Acknowledgements

The authors of this paper would like to thank the referee for the comments and helpful suggestions.

Notes

No potential conflict of interest was reported by the authors.