Mathematical models for polygamous mating systems

In this paper, two-sex models for populations with polygamous mating systems are developed. These models depend on the mating ratio and are applicable to both polygynous and polyandrous populations. Models for the population dynamics of populations with and without competition are constructed. Also, marriage models are discussed. The models developed describe situations common to mathematical ecology and mathematical demography. All of the models developed here are based on systems of linear and nonlinear autonomous differential equations.