Proceedings of the 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018)

Periodic Solution for A Stochastic Non-autonomous Predator-prey Model with Crowley-Martin Function Response

Authors
Hongliang Chen, Xiaoping Li
Corresponding Author
Hongliang Chen
Available Online March 2018.
DOI
https://doi.org/10.2991/mmsa-18.2018.11How to use a DOI?
Keywords
stochastic Crowley-Martin predator-prey model; global positive solution; positive periodic solution
Abstract

In this paper, we investigate a stochastic non-autonomous Crowley-Martin predator-prey model. For the model, we first prove the existence and uniqueness of the global positive solution. For the periodic model, we prove that the existence of a positive periodic solution by using Khasminskii’s method and constructing appropriate Lyapunov function.

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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Volume Title
Proceedings of the 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018)
Series
Advances in Intelligent Systems Research
Publication Date
March 2018
ISBN
10.2991/mmsa-18.2018.11
ISSN
1951-6851
DOI
https://doi.org/10.2991/mmsa-18.2018.11How to use a DOI?
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/).

Cite this article

TY  - CONF
AU  - Hongliang Chen
AU  - Xiaoping Li
PY  - 2018/03
DA  - 2018/03
TI  - Periodic Solution for A Stochastic Non-autonomous Predator-prey Model with Crowley-Martin Function Response
BT  - Proceedings of the 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018)
PB  - Atlantis Press
SP  - 45
EP  - 49
SN  - 1951-6851
UR  - https://doi.org/10.2991/mmsa-18.2018.11
DO  - https://doi.org/10.2991/mmsa-18.2018.11
ID  - Chen2018/03
ER  -