Property of Solutions to a Biological Population Model with Nonlocal Source and Nonlinear Boundary Condition

DOI

10.2991/amsm-16.2016.41How to use a DOI?

Keywords

biological population model; nonlocal source; GLOBAL existence; blow-up; comparison principle

Abstract

This paper investigates the property of positive solution to a biological population model with nonlinear boundary condition. Firstly the author gets the local existence result by a regularization method. Then under appropriate hypotheses, the author establishes that positive weak solution either exists globally or blows up in finite time by using comparison principle.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Angyang Liu
PY  - 2016/05
DA  - 2016/05
TI  - Property of Solutions to a Biological Population Model with Nonlocal Source and Nonlinear Boundary Condition
BT  - Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
PB  - Atlantis Press
SP  - 180
EP  - 183
SN  - 2352-538X
UR  - https://doi.org/10.2991/amsm-16.2016.41
DO  - 10.2991/amsm-16.2016.41
ID  - Liu2016/05
ER  -