DYNAMICS OF THE FOOD-CHAIN POPULATION IN A POLLUTED ENVIRONMENT WITH IMPULSIVE INPUT OF TOXICANT
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 4173-4190 |
| Journal / Publication | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 26 |
| Issue number | 8 |
| Online published | Sept 2020 |
| Publication status | Published - Aug 2021 |
Link(s)
Abstract
Some industrial behaviors, such as wasting outputs and inadequately treated and stored hazardous materials, may pollute our environment, so some populations in the polluted habitats are at the edge of extinction. In this work, we develop a mathematical model that validates the dynamics of the food-chain population in a polluted environment with impulsive toxicant input. Based on the model, we obtain a sufficient condition for the extinction of populations. When the concentration of toxicants surpasses the threshold, it will contribute to the extinction of populations in the related environment. Also, sufficient conditions for the permanence of populations are obtained in our analysis. Several numerical simulations validate the theoretical conclusions and further reflect the influence of toxicants.
Research Area(s)
- Chemostat, polluted environment, impulsive, permanence, global stability
Citation Format(s)
DYNAMICS OF THE FOOD-CHAIN POPULATION IN A POLLUTED ENVIRONMENT WITH IMPULSIVE INPUT OF TOXICANT. / MU, Yu; LO, Wing-Cheong.
In: Discrete and Continuous Dynamical Systems - Series B, Vol. 26, No. 8, 08.2021, p. 4173-4190.
In: Discrete and Continuous Dynamical Systems - Series B, Vol. 26, No. 8, 08.2021, p. 4173-4190.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
