APPLICATION OF THE FRACTIONAL ORDER CAUCHY PROBLEM IN POPULATION DYNAMICS AND ITS EVALUATION BASED ON REAL DATA
Authors
J. O. Xasanov, G. T. Yamgirova ()Files
Abstract
This article studies the application of the Cauchy problem in population dynamics. The classical population model is usually represented by a first-order ordinary differential equation. However, in real biological processes, population growth may depend not only on the current state but also on conditions in previous periods. Therefore, in this article the classical Cauchy problem is generalized by means of a fractional-order derivative in the Caputo sense. In particular, models of orders and are considered and compared with the classical model. Experimental data on the population of Paramecium caudatum are used to evaluate how close the models are to the real process. The results of the analysis show that fractional-order models provide results closer to real data than the classical model.
References
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