Analysis of a Fractional Plant-Nectar-Pollinator Model with the Exponential Kernel

Year 2020, Volume: 6 Issue: 1, 11 - 20, 24.06.2020

Mustafa Ali Dokuyucu

Abstract

This paper extends the plant-nectar-pollination model to the Caputo-Fabrizio fractional derivative,
following which the existence and singularity resolutions of the new model are studies with the
Picard-Lindelöf method. Afterwards Hyers-Ulam stability is utilized to analyse the stability of the
PNP model. Lastly, Adam-Basford numerical approach is used for numeral resolutions.

Keywords

PNP model, Caputo-Fabrizio fractional derivative, Adam-Basford numerical method, Picard-Lindelöf method

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