Open AccessThe effects of impulsive toxicant input on a single-species population in a small polluted environment
Author(s) -
Dongmei Li,
Tana Guo,
Yanjie Xu
Publication year - 2019
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2019413
Subject(s) - toxicant , extinction (optical mineralogy) , population , food chain , pulse (music) , population model , environmental science , persistence (discontinuity) , ecology , biological system , biology , statistics , control theory (sociology) , mathematics , physics , computer science , chemistry , engineering , demography , toxicity , paleontology , geotechnical engineering , organic chemistry , sociology , detector , optics , control (management) , artificial intelligence
In this paper, we study a single-species population model with pulse toxicant input in a small polluted environment. The intrinsic rate of population change is affected by the environmental toxin load and toxin in the organisms which is influenced by toxin in the environment and the food chain. A new mathematical model is established. By the Pulse Compare Theorem, we find the surviving threshold of the population and obtain the sufficient conditions of persistence and extinction of the population.