Analysis of population dynamics and chaos theory

W. Figueroa, D. Prada, P. Vera, J. Gomez, E. Montes, G. Bautista

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    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.

    Original languageEnglish
    Article number012001
    JournalJournal of Physics: Conference Series
    Issue number1
    StatePublished - 6 Mar 2020
    Event2nd Workshop on Modeling and Simulation for Science and Engineering, WMSSE 2019 - Cartagena de Indias, Colombia
    Duration: 24 Sep 201926 Sep 2019

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