The Global Stability of a Delayed Reaction-Diffusion Predator-Prey Model

DOI

10.2991/ammsa-18.2018.45How to use a DOI?

Keywords

reaction-diffusion; time delay; the method of upper and lower solutions; global stability

Abstract

In this article, a delayed reaction-diffusion predator-prey model with stage structure is investigated. The global stability of the coexistence states is discussed by the linearization method and the method of upper and lower solutions. Sufficient conditions of the global attractivity of nonnegative constant equilibrium of the system are obtained. Our results show that the free diffusion of the delayed reaction-diffusion system has no influence on the populations. Finally, numerical simulations are carried out to illustrate the main results.

Copyright

© 2018, 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  - Yu Jiang
AU  - Huiming Wei
AU  - Xiaoli Zhang
PY  - 2018/05
DA  - 2018/05
TI  - The Global Stability of a Delayed Reaction-Diffusion Predator-Prey Model
BT  - Proceedings of the 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018)
PB  - Atlantis Press
SP  - 220
EP  - 226
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-18.2018.45
DO  - 10.2991/ammsa-18.2018.45
ID  - Jiang2018/05
ER  -