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Basic Reproduction NumberMathematical ModelOptimal ControlEpidemic ModelStability AnalysisPontryagin's Maximum PrincipleLocal and Global StabilityDisease-free EquilibriumEndemic EquilibriumLocal StabilityGlobally Asymptotically StableMathematical ModelingFunctional ResponseSensitivity AnalysisTransmission DynamicsHOPF BifurcationPredator ModelLyapunov FunctionGeneration MatrixOptimal Control Strategy