Open AccessAnalysis of population dynamics and chaos theory
Author(s) -
W. Figueroa,
Duwamg A. Prada,
Paredes Vera,
J. M. G. Gómez,
E Montes,
Ginna Paola Cabra Bautista
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1448/1/012001
Subject(s) - population , constant (computer programming) , statistical physics , logistic function , orbit (dynamics) , diagram , chaotic , population model , mathematics , chaos theory , dynamics (music) , statistics , econometrics , computer science , physics , artificial intelligence , demography , sociology , acoustics , engineering , programming language , aerospace engineering
Population growth is a topic of great interest to biologists, epidemiologists, ecologists, microbiologists and bioanalysts. Describing the dynamics of a population system through mathematical models is very useful in order to predict the behavior of the study population. Chaos theory supports studies of this type through the analysis of the logistic equation which allows observing this behavior under the variation of the constant k that represents the rate of increase in the number of times of the population values in a given time and the orbit diagram that summarizes the asymptotic behavior of all orbits in which we have values of k between zero and four. These models work with discrete time under measurement by iteration in observation and not continuously. The objective is to show the relationship of the logistic equation and the orbit diagram with the Feigenbaum constant in order to show the order that exists in the population dynamics.