The Qualitative Analysis of a Two Species Amensalism Model with Non-Monotonic Functional Response and Allee Effect on Second Species
Year: 2019
Author: Xinyu Guan, Hang Deng
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 2 : pp. 126–138
Abstract
In this paper, we present a two species amensalism model with non-monotonic functional response and Allee effect on second species. Local and global stability of the boundary and interior equilibrium are investigated. By introducing the Allee effect, we show that the boundary equilibrium have changed from unstable node and saddle into saddle-node. Also, the system subject to an Allee effect has increased the time of reach to its stable steady-state solution, but has no influence on the final density of the two species. Our results are supported by numeric simulations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-AAM-18071
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 2 : pp. 126–138
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: amensalism model Allee effect non-monotonic functional response global stability.