Analysis of Logistic Model with Constant Harvesting in a View of Non-Integer Derivative

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, σ, 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.