Bifurcation Effects in a Degenerate Differential Model of Subpopulation Dynamics
Анотація
The contribution is devoted to qualitative investigation of subpopulation dynamics, described by a degenerate differential model with basic logistic function. The research includes: finding stationary sets, such as isolated special points and stationary hyper-planes, investigation of their stability, complete classification of system phase portraits, complete classification of bifurcations in the system, determination of emergence condition. The main results of the qualitative analysis of the proposed model are represented in the form of theorems. Research results are illustrated with several graphs: system phase portraits and bifurcation diagrams. The illustrations demonstrate adequacy of qualitative results, obtained from the model simulation.
Класифікація
Ідентифікатори
Рецензії (0)
Написати рецензіюРецензій ще немає. Будьте першим!
Схожі роботи
Possibilities of fractal analysis of the competitive dynamics: Approaches and procedures
Схоже за: Innovation Diffusion and Forecasting · Complex Systems and Time Series Analysis
Real-time spectrum secondary markets: Agent-based model of investment activities of heterogeneous operators
Схоже за: Innovation Diffusion and Forecasting · Complex Systems and Time Series Analysis
Analyzing the Space-Time Structure of the Futures Section of the Metals Market
Схоже за: Innovation Diffusion and Forecasting · Complex Systems and Time Series Analysis
Modeling of Correlation on the Stock Market Using Complex Network Methods
Схоже за: Innovation Diffusion and Forecasting · Complex Systems and Time Series Analysis
Model of Product Displacement from the Market: Market Failure under Complete Information
Схоже за: Innovation Diffusion and Forecasting · Complex Systems and Time Series Analysis
Neural Network Estimation of Shadow Economy Size — Improving on MIMIC Models
Схоже за: Innovation Diffusion and Forecasting · Economic theories and models