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Mathematical analysis and approximate solution of a fractional order caputo fascioliasis disease model

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  • Ogunmiloro, Oluwatayo Michael

Abstract

In this article, a mathematical model split into different compartments of population describing the transmission of fascioliasis in humans, domestic animals and environmental sources under the Caputo fractional derivative is presented. Analytical results involving the existence and uniqueness of, at least a solution of the model through fixed point approach is established. The basic reproduction number (Rfc) is obtained using the next generation matrix method and the fascioliasis - free and endemic equilibrium is obtained to show that the fascioliasis - free equilibrium is locally and globally asymptotically stable whenever Rfc is less than unity. The numerical modified Euler method for the fractional order Caputo fascioliasis model is utilized, and the simulations show that the method is efficient and convergent.

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  • Ogunmiloro, Oluwatayo Michael, 2021. "Mathematical analysis and approximate solution of a fractional order caputo fascioliasis disease model," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    • Handle: RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921002046
    DOI: 10.1016/j.chaos.2021.110851
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    1. Goodall, E. A. & McIlroy, S. G. & McCracken, R. M. & McLoughlin, E. M. & Taylor, S. M., 1991. "A mathematical forecasting model for the annual prevalence of Fasciolosis," Agricultural Systems, Elsevier, vol. 36(2), pages 231-240.
    2. Qureshi, Sania & Atangana, Abdon, 2020. "Fractal-fractional differentiation for the modeling and mathematical analysis of nonlinear diarrhea transmission dynamics under the use of real data," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    3. Din, Anwarud & Khan, Amir & Baleanu, Dumitru, 2020. "Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    4. Olumuyiwa James Peter, 2020. "Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator," International Journal of Differential Equations, Hindawi, vol. 2020, pages 1-11, August.
    5. O. M. Ogunmiloro & A. S. Idowu, 2020. "On the existence of invariant domain and local asymptotic behavior of a delayed onchocerciasis model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(10), pages 1-10, October.
    6. Baleanu, Dumitru & Jajarmi, Amin & Mohammadi, Hakimeh & Rezapour, Shahram, 2020. "A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    7. Jajarmi, Amin & Yusuf, Abdullahi & Baleanu, Dumitru & Inc, Mustafa, 2020. "A new fractional HRSV model and its optimal control: A non-singular operator approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    8. Dokuyucu, Mustafa Ali & Dutta, Hemen, 2020. "A fractional order model for Ebola Virus with the new Caputo fractional derivative without singular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
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    Cited by:

    1. Asamoah, Joshua Kiddy K. & Sun, Gui-Quan, 2023. "Fractional Caputo and sensitivity heat map for a gonorrhea transmission model in a sex structured population," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    2. Yang, Xue & Su, Yongmei & Yang, Liangli & Zhuo, Xinjian, 2022. "Global analysis and simulation of a fractional order HBV immune model," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

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