- Eastern Anatolian Journal of Science
- Vol: 6 Issue: 1
- Analysis of a Fractional Plant-Nectar-Pollinator Model with the Exponential Kernel
Analysis of a Fractional Plant-Nectar-Pollinator Model with the Exponential Kernel
Authors : Mustafa Ali Dokuyucu
Pages : 11-20
View : 13 | Download : 8
Publication Date : 2020-06-24
Article Type : Research
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