Numerical modeling of SEIR on two-dose vaccination of rubella virus
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Date
2022
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Publisher
UMT Lahore
Abstract
This thesis determines non-linear terminologies under the modulation of dynamic transmission in childhood diseases is analyzed to explore the effect of Rubella virus with two-dose vaccination strategy. We have to find the equilibria of susceptible, exposed, infectious and recovered individuals. This model was shown to have two equilibria: a disease-free equilibrium and an endemic equilibrium, and their local stability was defined using the computed effective reproduction number R0, as well as the sensitivity of variables. This model is solved numerically with three different numerical techniques, forward Euler, RK-4 and the proposed nonstandard finite difference NSFD technique. The proposed NSFD technique is more efficient and reliable than the forward Euler and the RK-4 techniques. NSFD technique retains all essential characteristics of the continuous SEIR vaccine epidemic model like positivity and stability of equilibria. While the well-known forward Euler and RK-4 techniques do not sustain these characteristics.