Analysis of novel fractional order plastic waste model and its effects on air pollution with treatment mechanism

Abstract

In the present era, the plastic waste problem is a global challenge due to its massive production. The post-use of waste plastic influences the earth's environment, human life, marine life, and ocean. Thus there is a necessity to develop good strategies for the exclusion of plastic waste. Because of this, an extension is paid on the procedure of burning and recycling plastic waste. As a case study, the four-dimensional systems of ordinary differential equations are developed to estimate the effects of burned plastic and recycled plastic on air pollution. The well-posedness and qualitative properties are discussed. The reproduction number of the plastic waste model and local and global stability are discussed in detail. The effect of influence parameters is systematically investigated by numerical experiments. The numerical results provide a better strategy to restrict air pollution and ensure a good climate, earth's environment, and healthy human life.