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The Dynamics of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission

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  • Raid Kamel Naji
  • Reem Mudar Hussien

Abstract

An epidemic model that describes the dynamics of the spread of infectious diseases is proposed. Two different types of infectious diseases that spread through both horizontal and vertical transmission in the host population are considered. The basic reproduction number is determined. The local and the global stability of all possible equilibrium points are achieved. The local bifurcation analysis and Hopf bifurcation analysis for the four-dimensional epidemic model are studied. Numerical simulations are used to confirm our obtained analytical results.

Suggested Citation

  • Raid Kamel Naji & Reem Mudar Hussien, 2016. "The Dynamics of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission," Journal of Applied Mathematics, Hindawi, vol. 2016, pages 1-16, January.
    • Handle: RePEc:hin:jnljam:4907964
    DOI: 10.1155/2016/4907964
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    Cited by:

    1. Shari, Babajide Epe & Dioha, Michael O. & Abraham-Dukuma, Magnus C. & Sobanke, Victor O. & Emodi, Nnaemeka V., 2022. "Clean cooking energy transition in Nigeria: Policy implications for Developing countries," Journal of Policy Modeling, Elsevier, vol. 44(2), pages 319-343.
    2. Huda Abdul Satar & Raid Kamel Naji, 2023. "A Mathematical Study for the Transmission of Coronavirus Disease," Mathematics, MDPI, vol. 11(10), pages 1-20, May.
    3. Thirthar, Ashraf Adnan & Naji, Raid Kamel & Bozkurt, Fatma & Yousef, Ali, 2021. "Modeling and analysis of an SI1I2R epidemic model with nonlinear incidence and general recovery functions of I1," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).

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