About some exact solutions of nonlinear system of the differential equations describing three-party elections. (English) Zbl 1398.34065

Chilachava, T.

Appl. Math. Inform. Mech. 21, No. 1, 58-73 (2016).

From the abstract: In the paper nonlinear mathematical model describing dynamics of voters pro-governmental and two opposition parties (three selective subjects, the coalitions) is offered.
In some special cases of constancy or variability of coefficients of model, exact analytical solutions are found and theorems which show conditions under which the pro-government party will lose the next elections are proved.

MSC:

34C60	Qualitative investigation and simulation of ordinary differential equation models
91C99	Social and behavioral sciences: general topics
34D05	Asymptotic properties of solutions to ordinary differential equations
34A05	Explicit solutions, first integrals of ordinary differential equations

Keywords:

nonlinear mathematical model; pro-governmental party; administrative resources; two opposition parties; elections; exact analytical solutions; theorems