title: Modelling the dynamics of two political parties in the presence of switching.
abstract: This paper generalizes the model proposed by Misra, by considering switching between political parties. In the model proposed, the movements of members from political party B to political party C and vice versa, are considered but the net movement is considered by assuming that [Formula: see text] (a constant), which implies that the movement of members is either from party B to party C or from party C to party B. In this paper we remodel these movements through switching functions to capture how individuals switch between parties. The results provide a more comprehensive synopsis of the dynamics between two political parties.
authors.affiliation: Department of Mathematical Science, University of Stellenbosch, Private Bag X1, Matieland, 7602 South Africa.
authors.forename: F
authors.initials: F
authors.lastname: Nyabadza
authors.affiliation: African Institute of Mathematical Sciences, Birwa, Ghana.
authors.forename: Tobge Yawo
authors.initials: TY
authors.lastname: Alassey
authors.affiliation: Department of Mathematics, University of Zimbabwe, P. Box MP 167, Mount Pleasant, Harare, Zimbabwe.
authors.forename: Gift
authors.initials: G
authors.lastname: Muchatibaya
keywords: Modelling; Political parties; Simulations; Steady states; Switching function