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Impact of awareness on environmental toxins affecting plankton dynamics: a mathematical implication
Journal of Applied Mathematics and Computing ( IF 2.2 ) Pub Date : 2020-10-07 , DOI: 10.1007/s12190-020-01441-5
Arindam Mandal , Pankaj Kumar Tiwari , Samares Pal

The widespread problem of water pollution due to enhanced concentration of anthropogenic effluents is becoming a global issue. Public environmental awareness may be a plausible factor for the control of toxicants in the aquatic medium. The present paper is devoted to study the impact of awareness among human on reduction of environmental toxins affecting planktonic system. The provision of awareness among people helps to maintain the ecological balance of the system by reducing the input rate of toxicants through anthropogenic sources. The conditions for existence and local asymptotic stability of all feasible steady states of the system are derived. Our study reveals that the system is stable for low or high input rate of toxicants, but for intermediate ranges, the system produces oscillations by destroying the stable dynamics. Moreover, for very large level of pollutants, zooplankton disappears from the system. Importantly, the limited supply of additional food to zooplankton prevents the crash of aquatic food web system. Sensitivity results evoke that environmental toxins can be reduced to a low level by imparting awareness among human, thereby maintaining the rhythm of the planktonic ecosystem.



中文翻译:

意识对影响浮游生物动力学的环境毒素的影响:数学意义

由于人为排放物浓度增加而引起的普遍的水污染问题正在成为全球性问题。公众环境意识可能是控制水生介质中毒物的合理因素。本文致力于研究人类意识对减少影响浮游系统的环境毒素的影响。在人与人之间提供意识可以通过减少人为来源的毒物输入速率来帮助维持系统的生态平衡。推导了系统所有可行稳态的存在条件和局部渐近稳定性。我们的研究表明,该系统对于低或高输入毒物速率都是稳定的,但对于中等范围,该系统会通过破坏稳定的动力学来产生振荡。此外,对于非常大量的污染物,浮游动物将从系统中消失。重要的是,对浮游动物的额外食物供应有限,可以防止水生食物网系统崩溃。敏感性结果表明,可以通过在人类之间传递意识来减少环境毒素,从而保持浮游生态系统的节奏。

更新日期:2020-10-07
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