Hybrid model of bioresourses’ dynamics: Equilibrium, cycle, and transitional chaos

This article covers the development of nonlinear models of the dynamics of biological resources and their study using computer systems. The generalization showed that a number of non-linear effects in the dynamics of many population models are linked with biologically interpretable development criteria. The formalization of the theoretically proved dependencies of the populations’ reproduction led to the development of three new mathematical models. The first model corresponds to the dynamics of laboratory populations. The two other models are implemented in a computing environment using hybrid time and a special tuples structure. The computer modeling allowed establishing qualitatively different nonlinear effects for the three dynamical systems. The goal of developing new models is the analysis of scenarios of commercial fish populations’ degradation in the presence of important changes in their life cycles.