DYNAMICS OF THE FOOD-CHAIN POPULATION IN A POLLUTED ENVIRONMENT WITH IMPULSIVE INPUT OF TOXICANT

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)4173-4190
Journal / PublicationDiscrete and Continuous Dynamical Systems - Series B
Volume26
Issue number8
Publication statusPublished - Aug 2021

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