DYNAMIC MODES OF POPULATION WITH A SIMPLE AGE STRUCTURE UNDER LIMITATION OF BIRTH RATE
In this paper we research a mathematical model of dynamics for the population number. We considered the population of the two age classes by the beginning of the next season: the younger, one including not reproductive individuals, and the senior class, consisting of the individuals participating in reproduction. The birth parameter is represented the exponential functions of the both age groups numbers. According to this supposition the density-dependent factors restrict the development of population. Analytical and numerical analysis of the model is made. We investigate the dynamic modes of the model. It is shown that density-dependent factors of regulation for the population number can lead to generation of fluctuations and chaotic dynamics behavior of the population.