A discrete in time model of ideological competition is formulated taking into account
population migration. The model is based on interactions between global populations of non-
believers and followers of different ideologies. The complex dynamics of the attracting
manifolds is investigated. Conversion from one ideology to another by means of (i) mass
media influence and (ii) interpersonal relations is considered. Moreover a different birth rate
is assumed for different ideologies, the rate being assumed to be positive for the reference …