Model Analysis and Numerical Simulation of the Ebola Epidemic

T. A. Ojurongbe, H. A. Afolabi, I. E. Olukotun, K. A. Bashiru

Abstract


The Ebola virus, a highly dangerous infectious disease, is transmitted to humans through contact with both domestic and wild animals, which serve as carriers, and subsequently propagates through close interpersonal interactions. This research introduces an SEIR model that incorporates a vaccination parameter to scrutinize the transmission dynamics and stability patterns of the virus within the human population under different vaccination strategies. The Laplace-Adomian decomposition method was employed to solve the epidemic model, with Maple 18 software facilitating the execution of numerical simulations. These simulations provide in-depth insights into how each population state responds to vaccination initiatives. We present the results of these simulations graphically and engage in extensive discussions, offering valuable decision-making guides for policymakers.


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References


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