| Citation: |
Hardik Joshi, Mehmet Yavuz, Necati Özdemir. ANALYSIS OF NOVEL FRACTIONAL ORDER PLASTIC WASTE MODEL AND ITS EFFECTS ON AIR POLLUTION WITH TREATMENT MECHANISM[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3078-3098. doi: 10.11948/20230453
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ANALYSIS OF NOVEL FRACTIONAL ORDER PLASTIC WASTE MODEL AND ITS EFFECTS ON AIR POLLUTION WITH TREATMENT MECHANISM
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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.
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Keywords:
- Plastic /
- burned plastic /
- recycled plastic /
- air pollution /
- fractional order /
- stability analysis
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References
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Hardik Joshi, Mehmet Yavuz, Necati Özdemir. ANALYSIS OF NOVEL FRACTIONAL ORDER PLASTIC WASTE MODEL AND ITS EFFECTS ON AIR POLLUTION WITH TREATMENT MECHANISM[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3078-3098. doi: 10.11948/20230453
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Figure 1.
Flow diagram of the PBRA model.
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Figure 2.
Dynamic behavior of the PBRA model.
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Figure 3.
Effect of burning rate on air pollution for (a)
$ \alpha = 0.8 $ $ \alpha = 0.9 $ $ \alpha = 1 $ -
Figure 4.
Effect of recycling rate on air pollution for (a)
$ \alpha = 0.8 $ $ \alpha = 0.9 $ $ \alpha = 1 $ -
Figure 5.
Effect of reused plastic on air pollution for (a)
$ \alpha = 0.8 $ $ \alpha = 0.9 $ $ \alpha = 1 $ -
Figure 6.
Effect of air pollution due to burned plastic on air pollution for (a)
$ \alpha = 0.8 $ $ \alpha = 0.9 $ $ \alpha = 1 $ -
Figure 7.
Effect of air pollution due to recycling plastic on air pollution for (a)
$ \alpha = 0.8 $ $ \alpha = 0.9 $ $ \alpha = 1 $ -
Figure 8.
Phase diagram of burned plastic against air pollution.
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Figure 9.
Phase diagram of recycled plastic against air pollution.