Proceedings of the 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018)

The Persistence of a Discrete Host-parasitoid Model with Allee Effect and Holling III Functional Response

Authors
Yong Ye, Hua Liu, Yumei Wei, Peng Yang, Ming Ma
Corresponding Author
Yong Ye
Available Online May 2018.
DOI
10.2991/ammsa-18.2018.41How to use a DOI?
Keywords
Allee effect; Holling III functional response; bifurcation diagram; persistence
Abstract

This paper establishes a host-parasitoid model with Allee effect and Holling III functional response, and discusses the persistent problem of this system. Through computer simulation, the growth rate of is used as the parameter of the bifurcation diagram, and the effect of Allee effect on the dynamic behavior of the system is analyzed.

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 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018)
Series
Advances in Intelligent Systems Research
Publication Date
May 2018
ISBN
978-94-6252-529-0
ISSN
1951-6851
DOI
10.2991/ammsa-18.2018.41How 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  - Yong Ye
AU  - Hua Liu
AU  - Yumei Wei
AU  - Peng Yang
AU  - Ming Ma
PY  - 2018/05
DA  - 2018/05
TI  - The Persistence of a Discrete Host-parasitoid Model with Allee Effect and Holling III Functional Response
BT  - Proceedings of the 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018)
PB  - Atlantis Press
SP  - 202
EP  - 205
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-18.2018.41
DO  - 10.2991/ammsa-18.2018.41
ID  - Ye2018/05
ER  -