MATHEMATICAL MODELLING OF CHILTRAFFICKING DYNAMICS WITH INTERVENTION STRATEGIES

Abstract

In this study we, developed and analysed a deterministic model for the transmission dynamics and control of Child trafficking by incorporating prevention strategies such as enhance rescue operations and rehabilitation program. The model is proved to be both epidemiologically and mathematically well posed. We showed that all solutions of the model are positive and bounded with initial conditions in a certain meaningful set. The existence of unique child trafficking free and endemic equilibrium points are investigated and the basic reproduction number is computed. Then, we study the local asymptotic stability of these equilibrium points. The analysis shows that the system has a locally asymptotically stable child trafficking-free equilibrium point whenever the reproduction number is and locally asymptotically stable endemic equilibrium point whenever the reproduction number is . The simulation result shows the agreement with the analytical results.