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Modelling of transmission dynamics of Nipah virus (Niv): A fractional order Approach

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  • Agarwal, Praveen
  • Singh, Ram

Abstract

This work contains a mathematical model able to portray the transmission of Nipah virus within a targeted population. We argued that, the model with classical differential provide a description based on the Markovian process where the evolution equation is memory-less which of course is not in line with the real world situation. In order to include introduce into mathematical model the effect of waiting distribution able to capture the exponential and power which are natural law follow by several physical problem, we replaced the local time differential operator with a differential operator with the Mittag-Leffler function. We presented in detail the study disease free equilibrium and reproduction number. Some interesting theorems were suggested and proven. The model was solved numerical via a newly established numerical method.

Suggested Citation

  • Agarwal, Praveen & Singh, Ram, 2020. "Modelling of transmission dynamics of Nipah virus (Niv): A fractional order Approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    • Handle: RePEc:eee:phsmap:v:547:y:2020:i:c:s0378437120300625
    DOI: 10.1016/j.physa.2020.124243
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    References listed on IDEAS

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    Cited by:

    1. Akinlar, M.A. & Inc, Mustafa & Gómez-Aguilar, J.F. & Boutarfa, B., 2020. "Solutions of a disease model with fractional white noise," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    2. Agarwal, Praveen & Singh, Ram & Rehman, Attiq ul, 2021. "Numerical solution of hybrid mathematical model of dengue transmission with relapse and memory via Adam–Bashforth–Moulton predictor-corrector scheme," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    3. Shaw, Pawan Kumar & Kumar, Sunil & Momani, Shaher & Hadid, Samir, 2022. "Dynamical analysis of fractional plant disease model with curative and preventive treatments," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Ebrahem A. Algehyne & Musaad S. Aldhabani & Mounirah Areshi & Essam R. El-Zahar & Abdelhalim Ebaid & Hind K. Al-Jeaid, 2023. "A Proposed Application of Fractional Calculus on Time Dilation in Special Theory of Relativity," Mathematics, MDPI, vol. 11(15), pages 1-11, July.
    5. Laila F. Seddek & Abdelhalim Ebaid & Essam R. El-Zahar & Mona D. Aljoufi, 2023. "Exact Solution of Non-Homogeneous Fractional Differential System Containing 2 n Periodic Terms under Physical Conditions," Mathematics, MDPI, vol. 11(15), pages 1-12, July.
    6. Ragwa S. E. Alatwi & Abdulrahman F. Aljohani & Abdelhalim Ebaid & Hind K. Al-Jeaid, 2022. "Two Analytical Techniques for Fractional Differential Equations with Harmonic Terms via the Riemann–Liouville Definition," Mathematics, MDPI, vol. 10(23), pages 1-11, December.
    7. Rehman, Attiq ul & Singh, Ram & Singh, Jagdev, 2022. "Mathematical analysis of multi-compartmental malaria transmission model with reinfection," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    8. Rehman, Attiq ul & Singh, Ram & Agarwal, Praveen, 2021. "Modeling, analysis and prediction of new variants of covid-19 and dengue co-infection on complex network," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    9. Zehba Raizah & Rahat Zarin, 2023. "Advancing COVID-19 Understanding: Simulating Omicron Variant Spread Using Fractional-Order Models and Haar Wavelet Collocation," Mathematics, MDPI, vol. 11(8), pages 1-30, April.

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