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Modeling the dynamic of COVID-19 with different types of transmissions

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  • Amouch, Mohamed
  • Karim, Noureddine

Abstract

In this paper, we propose a new epidemiological mathematical model for the spread of the COVID-19 disease with a special focus on the transmissibility of individuals with severe symptoms, mild symptoms, and asymptomatic symptoms. We compute the basic reproduction number and we study the local stability of the disease-free equilibrium in terms of the basic reproduction number. Numerical simulations were employed to illustrate our results. Furthermore, we study the present model in case we took into consideration the vaccination of a portion of susceptible individuals to predict the impact of the vaccination program.

Suggested Citation

  • Amouch, Mohamed & Karim, Noureddine, 2021. "Modeling the dynamic of COVID-19 with different types of transmissions," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005427
    DOI: 10.1016/j.chaos.2021.111188
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    References listed on IDEAS

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    Cited by:

    1. Prem Kumar, R. & Santra, P.K. & Mahapatra, G.S., 2023. "Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 741-766.
    2. Sabir, Zulqurnain & Raja, Muhammad Asif Zahoor & Guirao, Juan L.G. & Saeed, Tareq, 2021. "Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Alexander P. Anyutin & Tatiana M. Khodykina & Ekaterina I. Akimova & Elena V. Belova & Ekaterina A. Shashina & Denis V. Shcherbakov & Valentina V. Makarova & Nadezhda N. Zabroda & Anna A. Klimova & Ni, 2022. "Study of the Deep Processes of COVID-19 in Russia: Finding Ways to Identify Preventive Measures," IJERPH, MDPI, vol. 19(22), pages 1-14, November.

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