Model for the Effect of Environmental Pollution on the Survival of Resource Dependent Population with Time Delay / Manju Agarwal and Nancy Gupta
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International Journal of Environment & DevelopmentSummary: In this paper, a nonlinear mathematical model is proposed and analyzed to study the effect of environmental pollution on the biological population such as human beings dependent on resource-biomass with time delay. It is assumed that the environmental pollutant have delayed harmful effect on the resource-biomass of the population. The accumulated pollutant in the biomass will indirectly slow down the growth of biological population. The proposed model is analysed for local and global stability of the equilibrium point using stability theory of differential equation as well as through numerical simulation. The introduction of delay in the model has lead to instability in the system. Further, it is shown that if the formation of the toxic substance is either very high or low then it destabilizes the system.
| Item type | Current library | Collection | Call number | Vol info | Status | Date due | Barcode | Item holds | |
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Library, SPAB | Journal Bound Volume | v. 8(1-2) / Jan-Dec 2011 | Not for loan | J000306 |
In this paper, a nonlinear mathematical model is proposed and analyzed to study the effect of environmental pollution on the biological population such as human beings dependent on resource-biomass with time delay. It is assumed that the environmental pollutant have delayed harmful effect on the resource-biomass of the population. The accumulated pollutant in the biomass will indirectly slow down the growth of biological population. The proposed model is analysed for local and global stability of the equilibrium point using stability theory of differential equation as well as through numerical simulation. The introduction of delay in the model has lead to instability in the system. Further, it is shown that if the formation of the toxic substance is either very high or low then it destabilizes the system.
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