TY - JOUR
T1 - The Qualitative Analysis of a Two Species Amensalism Model with Non-Monotonic Functional Response and Allee Effect on Second Species
AU - Guan , Xinyu
AU - Deng , Hang
JO - Annals of Applied Mathematics
VL - 2
SP - 126
EP - 138
PY - 2020
DA - 2020/08
SN - 35
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18071.html
KW - amensalism model, Allee effect, non-monotonic functional response, global stability.
AB - <p style="text-align: justify;">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.</p>