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

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.