Energy approach in modeling population dynamics

• Main Author: Игорь Анатольевич Пилькевич
• Format: Article
• Language: English
• Published: PC Technology Center 2013-10-01
• Series: Tehnologìčnij Audit ta Rezervi Virobnictva
• Subjects: logistic model; population dynamics; systems theory; energy approach
• Online Access: http://journals.uran.ua/tarp/article/view/18224

To understand the functioning mechanisms and problem solutions of the use of populations, information about their structure is of great importance. The study of regularities of animals population dynamics is needed to create a scientific basis of the rational use of pest destroying animals and pest control. Herewith, mathematical methods, in particular modeling, are used. Among the population dynamics models, the Verhulst’s logistic function (1838) is the most widespread in mathematical ecology. It is used to describe both the behavior of populations and their interaction, for example, in the Lotka-Volterra equations. Recent studies have shown the impossibility of using the logistic models in predicting the development dynamics of objects of different nature. The methodology for constructing mathematical models of population dynamics is proposed in the paper. It is fair for mathematical description of objects of different nature. Systematology is the theoretical basis for the construction of mathematical models.