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Effect of vaccination on non-integer dynamics of pneumococcal pneumonia infection

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  • Yasmin, Humaira

Abstract

Pneumococcal pneumonia is a contagious, possibly fatal bacterial lung infection that can strike at any time and in any place. It can land you in the hospital and possibly put your life in jeopardy in severe situations. Pneumonia can range from a minor illness to a major or life-threatening infection and it can even be fatal. Therefore, it is of great importance to conceptualize the transmission phenomena of this dangerous infection and to provide control interventions. Here, an epidemic model to conceptualize the transmission phenomena of pneumococcal pneumonia with vaccination and treatment factors is structured. The equilibria of the model are inspected and the reproduction parameter (indicated by ℛ0) is determined. Stability results for the equilibria of the system have been proved. The reproduction parameters of the scheme are analyzed numerically with the variation of various input parameters. Moreover, adequate conditions for the uniqueness and existence of the solution to the hypothesized problem of pneumococcal pneumonia infection have been proved. Different simulations of the recommended pneumococcal pneumonia model are performed by changing the input factors to study the complicated dynamics of pneumococcal pneumonia infection with the influence of different input parameters of the system. This article discusses the system's dynamic behavior in order to develop effective infection control policies. Important changes have been observed when the order of the fractional derivative is decreased. This study recommended different factors for the reduction of pneumococcal pneumonia to the policymakers in the community.

Suggested Citation

  • Yasmin, Humaira, 2022. "Effect of vaccination on non-integer dynamics of pneumococcal pneumonia infection," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002594
    DOI: 10.1016/j.chaos.2022.112049
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    References listed on IDEAS

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    1. Mohammed Kizito & Julius Tumwiine, 2018. "A Mathematical Model of Treatment and Vaccination Interventions of Pneumococcal Pneumonia Infection Dynamics," Journal of Applied Mathematics, Hindawi, vol. 2018, pages 1-16, March.
    2. Cyrus G Ngari & David M Malonza & Grace G Muthuri, 2014. "A Model for Childhood Pneumonia Dynamics," Journal of Life Sciences Research, Asian Online Journal Publishing Group, vol. 1(2), pages 31-40.
    3. Iqbal, Naveed & Wu, Ranchao & Mohammed, Wael W., 2021. "Pattern formation induced by fractional cross-diffusion in a 3-species food chain model with harvesting," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 102-119.
    4. Cyrus G Ngari & David M Malonza & Grace G Muthuri, 2014. "A Model for Childhood Pneumonia Dynamics," Journal of Life Sciences Research, Asian Online Journal Publishing Group, vol. 1(2), pages 31-40.
    5. Naveed Iqbal & Yeliz Karaca, 2021. "Complex Fractional-Order Hiv Diffusion Model Based On Amplitude Equations With Turing Patterns And Turing Instability," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-16, August.
    6. Shah Hussain & Elissa Nadia Madi & Naveed Iqbal & Thongchai Botmart & Yeliz Karaca & Wael W. Mohammed, 2021. "Fractional Dynamics of Vector-Borne Infection with Sexual Transmission Rate and Vaccination," Mathematics, MDPI, vol. 9(23), pages 1-22, December.
    7. Qureshi, Sania & Jan, Rashid, 2021. "Modeling of measles epidemic with optimized fractional order under Caputo differential operator," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    8. Sweilam, Nasser Hassan & El-Sayed, Adel Abd Elaziz & Boulaaras, Salah, 2021. "Fractional-order advection-dispersion problem solution via the spectral collocation method and the non-standard finite difference technique," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
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