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Theoretical assessment of cholera disease and its control measures

Author

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  • Hussain, Takasar
  • Ozair, Muhammad
  • Komal, Ammara
  • Awan, Aziz Ullah
  • Alshahrani, B.
  • Abdelwahab, Sayed F.
  • Abdel-Aty, Abdel-Haleem

Abstract

In this paper, the dynamics of cholera disease, using a mathematical model, have been investigated. The basic reproduction number, using the next generation matrix method, has been computed which informs us about disease spread or control among people. There are two types of equilibria: disease absent and disease present. Stabilities of both equilibria have been explored. The key factors which significantly involve in spreading the disease have been pointed out by calculating the sensitivity indices of the threshold parameter and examining the graphical results of basic reproduction number for different parameters. Intensity of parameters has also been observed through the variation of parameters. A control problem is designed to overcome the scattering of ailment. To get over the disease, the schemes are devised by considering the outcomes of sensitivity analysis. The problem was revisited to see the comparison of analytical and numerical results. It was discovered that numerical results support the analytical results.

Suggested Citation

  • Hussain, Takasar & Ozair, Muhammad & Komal, Ammara & Awan, Aziz Ullah & Alshahrani, B. & Abdelwahab, Sayed F. & Abdel-Aty, Abdel-Haleem, 2021. "Theoretical assessment of cholera disease and its control measures," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921008821
    DOI: 10.1016/j.chaos.2021.111528
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    References listed on IDEAS

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    2. Singh, Harendra, 2021. "Analysis of drug treatment of the fractional HIV infection model of CD4+ T-cells," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Aaron A. King & Edward L. Ionides & Mercedes Pascual & Menno J. Bouma, 2008. "Inapparent infections and cholera dynamics," Nature, Nature, vol. 454(7206), pages 877-880, August.
    4. Singh, Harendra & Baleanu, Dumitru & Singh, Jagdev & Dutta, Hemen, 2021. "Computational study of fractional order smoking model," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
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