TY - JOUR
T1 - Extinction of a Discrete Competitive System with Beddington-DeAngelis Functional Response and the Effect of Toxic Substances
AU - Chen , Jiangbin
AU - Yu , Shengbin
JO - Annals of Applied Mathematics
VL - 4
SP - 356
EP - 378
PY - 2021
DA - 2021/01
SN - 36
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18581.html
KW - discrete competitive system, Beddington-DeAngelis functional response, extinction, toxic substances.
AB - <p style="text-align: justify;">In this paper, we consider a discrete competitive system with Beddington-DeAngelis functional response and the effect of toxic substances. By constructing some suitable Lyapunov type extinction functions, sufficient conditions which guarantee the extinction of a species and global attractivity of the
other one are obtained. Our results not only supplement and improve but also
generalize some existing ones. Numerical simulations show the feasibility of
our results.</p>