Dynamical analysis of fractional order biological population model with carrying capacity under Caputo-Katugampola memory
Jagdev Singh, Rashmi Agrawal, Dumitru Bǎleanu
Abstract
This article gives insight on a biological population model (BPM) of arbitrary order with carrying capacity. The solution of the studied model obtained via employing q-homotopy analysis generalized transforms method (q-HAGTM) and generalized Laplace decomposition method (GLDM). In the present study, the Katugampola fractional derivative (KFD) in Caputo type has been used. Numerical calculations represent a sufficiency of iterations for better accuracy in approximations of solutions of a fractional order biological population model (BPM) exemplify effectiveness as well as accuracy of the applied techniques. The study presented here using the approximation methods corroborates the fact that both schemes are very effective, accurate and easy to implement. The interdependency of population of prey and population of predator along with variations is presented and illustrated graphically.