The Dynamic Behavior of a Mathematical Model Shows the Effect of the Environment on the Success Level for School Students

Abstract

There are many factors that affect on the educational process behaviors as the one of thesefactors is the environment in which the students live. The main objective of this paper is to studyand find out the extent of the effect of the environment and interact it on the dynamic behavior ofthe proposed model. Assume that the student populations are divided into three levels: the first level,namely the success students, the second level the lazy students and the last level namely surroundingenvironment for students. The existence, uniqueness and boundedness of the solution of this modelare investigated. The local and global dynamical behaviors of the model are studied. Finally, inorder to confirm our obtained results and specify the effects of model’s parameters on the dynamicalbehavior, numerical simulation of the XYV model is performed.