TY - JOUR
T1 - Effects of a Toxicant on a Single-Species Population with Partial Pollution Tolerance in a Polluted Environment
AU - Liu , Jiamin
AU - Wei , Fengying
AU - Geritz , Stefan A.H.
JO - Annals of Applied Mathematics
VL - 3
SP - 266
EP - 274
PY - 2022
DA - 2022/06
SN - 32
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20642.html
KW - single-species population, pollution tolerance, toxicant, persistence, extinction, long-term behavior.
AB - <p style="text-align: justify;">We study a model for the long-term behavior of a single-species population with some degree of pollution tolerance in a polluted environment. The
model consists of three ordinary differential equations: one for the population
density, one for the amount of toxicant inside the living organisms, and one for
the amount of toxicant in the environment. We derive sufficient conditions for
the persistence and the extinction of the population depending on the exogenous input rate of the toxicant into the environment and the level of pollution
tolerance of the organisms. Numerical simulations are carried out to illustrate
our main results.</p>