Boundedness and Stability Properties of Solutions of Mathematical Model of Measles.
B.S. Ogundare, James Akingbade
Abstract
In this paper, asymptotic stability and global asymptotic stability of solutions to a deterministic and compartmental mathematical model of measles infection is considered using the ideas of the Jacobian determinant as well as the second method of Lyapunov, criteria/conditions that guaranteed asymptotic stability of disease free equilibrium and endemic equilibrium were established. Also the basic reproductive number $R_0$ was obtained. The results in this work compliments existing work and provided further information in controlling the disease in an open population.
Topics & Concepts
MathematicsStability (learning theory)Exponential stabilityApplied mathematicsLyapunov functionJacobian matrix and determinantBasic reproduction numberMeaslesWork (physics)PopulationEpidemic modelMathematical economicsComputer scienceDemographyMedicineNonlinear systemMachine learningSociologyPhysicsImmunologyVaccinationQuantum mechanicsEngineeringMechanical engineeringMathematical and Theoretical Epidemiology and Ecology ModelsCOVID-19 epidemiological studiesEvolution and Genetic Dynamics