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

F. Alharbi
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引用次数: 1

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.
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基于非整数导数的常收获Logistic模型分析
为了检验具有常收获的逻辑模型,采用了保形分数导数方法。这种方法推广了Logistic模型的经典分析,因此从分数微积分的角度研究了Logistic模式的特征,如亚临界和超临界收获。实现了具有时间维度的正辅助参数σ,以保持系统的维度。讨论了这一参数对种群的重要信息。将保形描述得到的总体表达式与经典导数的表达式进行了比较。这种比较表明,非整数表达式与经典表达式是平行的。
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