Modeling the effects of toxic wastes on population dynamics

The toxic and hazardous waste have dangerous properties and often cause a harmful effect on human health and the environment. Waste products generated from chemical industries and hospitals are the most classified into hazardous waste. Therefore, we are interested in modeling and analysing a dynamical system where intoxication on the population occurs due to mismanagement of such produced wastes. The model explains the relationship between the density of individuals in a certain area, waste generation and concentration of the toxic. Initially, we simulated synthetic data and estimated parameters using Least Square method. The stability analysis around critical points, bifurcation and sensitivity analysis are carried out and exhibit that once the population is growing, the generated wastes are also increasing and consequently, the concentration of toxic. Numerical model solutions through plots and fitness of the model are presented and interpretation confesses the model as accurate. From results, we recommend that, waste management and limitation in contact of the population with the toxic are the ways to reduce their effects on human beings. To address the waste disposal and synthetic substances, the new trend of green chemistry with 12 principles is the alternative solution. Moreover, to reduce the increase of toxic waste, chlorine is replaced by carbonyl group and make it friendly to the environment, ecosystem and human.