LAGUERRE WAVELET METHOD FOR FRACTIONAL PREDATOR-PREY POPULATION MODEL

The adaptation of fractional calculus (FC) in biological mathematical model takes the research in the area of the public health to a new level. The fractional definitions and related mathematical tools have had a significant impact on biological models analysis. The main goal of this paper is to examine the dynamical behavior of a predator-prey model under Caputo derivative. We analyze some special results such as convergence analysis, stability and operational matrix for the proposed Caputo model. For solution of the model, we present a new numerical technique-based Laguerre wavelet. In addition, we graphically compare the numerical results obtained using Laguerre wavelets and Lagrange polynomial interpolation.

Automated summary

The application of fractional calculus in biological mathematical models has advanced research in public health. This paper focuses on examining the dynamics of a predator-prey model using Caputo derivative and presents a new numerical technique based on Laguerre wavelets. The results are graphically compared with Lagrange polynomial interpolation.