Quantum mechanics

Algorithm

Demography

Ecology

Biology

Applied mathematics

Soundness

Computation

Economics

Computer science

Mathematical optimization

Carrying capacity

Physics

Nonlinear system

Mathematics

Population model

Population

Sociology

Financial economics

Programming language

Finance

Fractional calculus

Derivative (finance)

Order (exchange)

Chaos Solitons & Fractals

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.

An efficient computational approach for a fractional-order biological population model with carrying capacity