Stability and numerical simulation of a fractional order plant-nectar-pollinator model

By Aziz Khan, José Francisco Gómez‐Aguilar, Thabet Abdeljawad, Hasib Khan. 2020

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Abstract In this article, a plant-nectar-pollinator (PNP) model has been generalized involving Atangana-Baleanu fractional-order derivative. This new kind of derivative provide us important information of variables specially used in the complex system. Existence and uniqueness (EU) of solutions for the fractional order PNP model are examined via Picard-Lindelof method and stability analysis is discussed by Picard’s stability technique. The results show better performance of the model under fractional derivative proving that the dynamics of the PNP can be well understood if non-local effects are considered within the model. Moreover, the developed model is illustrated with numerical examples for different orders of the model.

Subfields: Modeling and Simulation, Plant Science, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/4c608e1d357de607b7deaec01ed5c85ca443f693