On the Solution of a Fractional-order Biological Population Model using q-Laplace Homotopy Analysis Method (qLHAM)

  • Oluwatope Richard Ojo Department of Mathematics, East Tennessee State University, Johnson City, USA
Keywords: q-Laplace-homotopy analysis, biological population model, approximate analytical solutions

Abstract

In this paper, we study a type of biological population model in its fractional order using the q-Laplace homotopy analysis method. This method, which combines the Laplace transform, q-calculus, and the homotopy analysis method developed by Shijun Liao in [11], is employed to provide approximate analytical solutions to the biological population model. Furthermore, we illustrate the dynamical behavior of this model graphically.

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Published
2025-01-23
How to Cite
Ojo, O. R. (2025). On the Solution of a Fractional-order Biological Population Model using q-Laplace Homotopy Analysis Method (qLHAM). Earthline Journal of Mathematical Sciences, 15(2), 239-255. https://doi.org/10.34198/ejms.15225.239255
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Articles