A mathematical model analysis of marriage divorce
Unknown authors
Abstract
In this paper, a deterministic model for the marriage divorce in a population is proposed and analysed qualitatively using the stability theory of differential equations. The basic reproduction number with respect to the divorce free equilibrium was obtained using next generation matrix approach. The conditions for local and global asymptotic stability of divorce free and endemic equilibria were established. The model exhibits backward bifurcation and the sensitivity indices of the parameters with respect to eradicating or spreading divorce in marriage was determined. Numerical simulation was performed and displayed graphically to justify the analytical results.
Topics & Concepts
Stability (learning theory)BifurcationApplied mathematicsMathematical economicsMathematicsSensitivity (control systems)PopulationLeslie matrixExponential stabilityStability theoryEconomicsEconometricsComputer scienceNonlinear systemDemographyPhysicsSociologyEngineeringMachine learningElectronic engineeringQuantum mechanicsMathematical and Theoretical Epidemiology and Ecology Models