Model For the Effect of Environmental Pollution on the Survival of Resource Dependent Population with Time Delay
Published Date: 02-04-2024 Issue: Vol. 1 No. 4 (2024): April 2024 Published Paper PDF: Download
Abstract- Large quantities of toxicants (pollutants) penetrate both the aquatic and terrestrial environments as a result of fast industrialization and technological advancement, severely impacting both the biological population and their resources. Toxicants disrupt resource metabolism when they come into contact with resource biomass. Because of this, the biomass’s intrinsic growth could be negatively impacted. The resource-biomass can be more severely affected by toxicants than the consuming species. Forests, fisheries, fertile topsoil, crude oil, minerals, and other resources could be depleted as a result. According to Freedman and Shukla (1991), Shukla and Dubey (1997, 2009), and Shukla et al. (2009), species extinction can also happen in extreme instances, impacting the bio-diversity of the ecosystem. Consequently, research into the ways in which pollutants affect biological populations and the biomass resources upon which they rely is crucial. The resourcebiomass may take some time to absorb the environmental toxin. Taking the delay impact into account in this case is, thus, quite reasonable and reflective of the actual system. The introduction of delay causes the system to behave unstablely, as is commonly observed. With these considerations in mind, a delay differential model is suggested for investigating the impact of a toxicant on a biological population and resource biomass. The model presupposes that toxicants have an effect on the biomass of a biological population and its carrying capacity. Delays in toxicant absorption slow down resource biomass, which in turn impacts population dynamics in an indirect way. Both the local and global stability of the model have been investigated using numerical simulations and mathematical analysis..