On a sociologically structured human community dynamics model (Q1347389)

To the traditional model in demography the author added the list of demographical parameters such as the religion factor and proposed a religion-structured population dynamics model without spatial dispersal. This model describes the dynamics of some interacting religion-structured human communities. It is assumed that each individual belongs to only one religion at any moment, and use the harmonic mean type function as the pair formation law. All individuals are divided into three groups (single males, single females, and pairs) and it is assumed that each sex has two age grades (pre-reproductive and reproductive). The commencement of the reproductive age grade is independent of the individual or time. Also it is assumed that paired individuals are of reproductive age and only pairs may produce offspring and that there are religions tolerate pairs of two types: the uniconfessional pair and that with different religions. It is considered that an individual changes his/her religion in order to get married, and it is assumed that he/she may choose a religion not necessarily that of the partner. On the other hand, parents can choose any religion for their offspring (not necessarily one of theirs). In the constant vital rates case, the author proved the existence and uniqueness theorem for the model. In the present paper, an existence and uniqueness theorem for the model in the general vital rates case is proved.