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Mathematical Analysis of the Transmission Dynamics of Skin Cancer Caused by UV Radiation

Author

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  • Tahera Parvin
  • Md. Haider Ali Biswas
  • Bimal Kumar Datta
  • Anum Shafiq

Abstract

Nowadays, skin cancer is a worldwide panic. It is related to ultraviolet radiation. In this paper, we have formulated a SIRS type mathematical model to show the effects of ultraviolet radiation on skin cancer. At first, we have showed the boundedness and positivity of the model solutions to verify the model’s existence and uniqueness. The boundedness and positivity gave the solutions of our model bounded and positive, which was very important for real-world situation because in real world, population cannot be negative. Then, we have popped out all the equilibrium points of our model and verified the stability of the equilibrium points. This stability test expressed some physical situation of our model. The disease-free equilibrium point is locally asymptotically stable if R0 1, then it is unstable. Again, the endemic equilibrium point is stable, if R0>1 and unstable if R0

Suggested Citation

  • Tahera Parvin & Md. Haider Ali Biswas & Bimal Kumar Datta & Anum Shafiq, 2022. "Mathematical Analysis of the Transmission Dynamics of Skin Cancer Caused by UV Radiation," Journal of Applied Mathematics, Hindawi, vol. 2022, pages 1-22, December.
    • Handle: RePEc:hin:jnljam:5445281
    DOI: 10.1155/2022/5445281
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