Abstract
In this paper, we construct a SIR epidemic model where a small number of the susceptible individuals have low immunity levels. We divide the susceptible population into two groups based on their immunity levels and apply the transmission rate for these two populations. We derive the basic reproduction number denoted by \(R_{0}\). We have two equilibria namely the disease-free and endemic equilibrium. We analyze the stability of the equilibrium points both locally and globally. Finally, we have simulated our model through MATLAB and have proved our theoretical results using numerical simulations. From the simulations, we observe that by decreasing the primary immunodeficiency, we can decrease the infection.
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Sebastian, E., Victor, P. (2018). A SIR Epidemic Model with Primary Immunodeficiency. In: Satapathy, S., Bhateja, V., Das, S. (eds) Smart Computing and Informatics . Smart Innovation, Systems and Technologies, vol 78. Springer, Singapore. https://doi.org/10.1007/978-981-10-5547-8_41
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DOI: https://doi.org/10.1007/978-981-10-5547-8_41
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