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Article
Analysis of Logistic Model with Constant Harvesting in a View of Non-Integer Derivative
Author(s)
Fahad M. Alharbi
Full-Text PDF XML 1259 Views
DOI:10.17265/2159-5291/2020.02.004
Affiliation(s)
Department of Mathematics, Faculty of Science, University of Tabuk, Saudi Arabia
ABSTRACT
The conformable fractional derivative method has been utilized in order
to examine the logistic model with constant harvesting. Such method introduces
a generalization to the classical analysis of Logistic model, and hence the
features of the Logistic model, such as subcritical and supercritical
harvesting, have been investigated in a view of fractional calculus. The
positive auxiliary parameter, s, with dimension of time is implemented to maintain
the dimensionality of the system. The significant information of such parameter
to the population has been discussed. The population expressions, obtained by
conformable description, are compared with the expressions of the classical
derivative. This comparison shows that the non-integer expressions are in a
parallel line with that of the classical one.
KEYWORDS
Logistic model, conformable description, non-integer derivative, conformable differential equations, fractional calculus.
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