An efficient computational approach for a fractional-order biological population model with carrying capacity. (September 2020)

• Record Type: Journal Article
• Authors: Srivastava, H.M.; Dubey, V.P.; Kumar, R.; Singh, J.; Kumar, D.; Baleanu, D.
• Is Part Of: Chaos, solitons and fractals. Volume 138(2020)
• Publication Date: 2020-09
• Subjects: Fractional-order biological population model -- Carrying capacity -- Caputo fractional derivative -- Homotopy methods -- Sumudu transform; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2020.109880
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: In this article, we examine a fractional-order biological population model with carrying capacity. The blended homotopy techniques pertaining to the Sumudu transform are utilized to explore the solutions of a nonlinear fractional-order population model with carrying capacity. The fractional derivative of the Caputo type is utilized in the proposed investigation. The numerical computations indicate the sufficiency of the iterations for the improved estimations of the solutions of this fractional-order biological population model which exemplifies the potency and soundness of the utilized schemes. The analysis explored through the utilization of the projected methods reveals that both of the schemes are in a great agreement with each other. The variations of the prey and predator populations with respect to time and fractional order of the Caputo derivative are presented and graphically illustrated.