The Stability Analysis on a Predator-Prey Model with Allee Effect

DOI

10.2991/amsee-16.2016.29How to use a DOI?

Keywords

allee effect; predator-prey model; Routh-Hurwitz stability; capture; positive equilibrium point

Abstract

This paper mainly focuses on the stability of predator-prey model, in which Allee effect is exerted on preys, people's capture of predators and preys in the system, and the demonstration of positive equilibrium point's existence and stability with the help of Routh-Hurwitz stability discriminance. Combining with numerical modeling, the stability of each population's evolutionary process is also analyzed through choosing Allee effect coefficient and capture coefficient as key parameters, which proves that the two coefficients plays a distinct influence on the change of condition of the system. This paper has particular enlightening significance to the analysis of any condition.

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  - Dongwei Huang
AU  - Dongmei Sun
AU  - Jianguo Tan
PY  - 2016/04
DA  - 2016/04
TI  - The Stability Analysis on a Predator-Prey Model with Allee Effect
BT  - Proceedings of the 2016 International Conference on Advanced Materials Science and Environmental Engineering
PB  - Atlantis Press
SP  - 105
EP  - 109
SN  - 2352-5401
UR  - https://doi.org/10.2991/amsee-16.2016.29
DO  - 10.2991/amsee-16.2016.29
ID  - Huang2016/04
ER  -