The Dynamic Behavior (Effects) of Impulsive Toxicant Input on a Single-Species Population in a Small Polluted Environment
Populations and Evolution
2016-09-14 v1 Dynamical Systems
Abstract
In this paper, we study a single-species population model with pulse toxicant input to a small polluted environment. The intrinsic rate of population is affected by environment and toxin in organisms. The toxin in organisms is influenced by toxin in environment and the food chain. A new mathematical model is derived. 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.
Keywords
Cite
@article{arxiv.1609.03926,
title = {The Dynamic Behavior (Effects) of Impulsive Toxicant Input on a Single-Species Population in a Small Polluted Environment},
author = {Li Dongmei and Yue Wu and Xu Yajing},
journal= {arXiv preprint arXiv:1609.03926},
year = {2016}
}
Comments
14 pages, 4 figures