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Nonlinear biological population model; computational and numerical investigations

Mostafa M.A. Khater

Chaos, Solitons & Fractals, 2022, vol. 162, issue C

Abstract: This research paper provides precise solutions for nonlinear fractional population biology (FBP) models by implementing the generalized Khater (GK) technique and utilizing Atangana's conformable fractional (ACF) derivative operator. Because people have natural death and a birth rate, we can get demographic information using a model. Many physical features, such as exponential, hyperbolic, and trigonometric functions, were given a mathematical explanation. To get a better understanding of such methods, one should draw them in various ways. Many novel analytical solutions are obtained in distinct formulas, such as rational, hyperbolic, parabolic, etc.

Keywords: Generalized Khater method; Fractional operator; Nonlinear FBP equation; Numerical B-spline scheme (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922005987

DOI: 10.1016/j.chaos.2022.112388

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