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Differential EquationsOrdinary Differential EquationsNumerical SolutionMathematical ModelBoundary Value ProblemExact SolutionDifferential EquationEndemic EquilibriumNumerical ExperimentsFinite Difference MethodBoundary ConditionsExistence and UniquenessBasic Reproduction NumberGlobally Asymptotically StableDisease-free EquilibriumAdomian Decomposition MethodHomotopy Perturbation MethodNumerical MethodsHomotopy Analysis MethodProbability Density Function