Investigating of fractional order dengue epidemic model with ABC operator
Faiz Muhammad Khan, Zia Ullah Khan, Yu-Pei Lv, Abdullahi Yusuf, Anwarud Din
Abstract
A mosquito born viral disease (Dengue) becoming endemic around the globe which including cause of severe illness and death in various Asian and Latin American countries. It needs proper management by researchers and medicine professionals. The current research work is a step towards the prevention/reduction of such deadly disease in the society. More precisely, this work addressing various mathematical proofs interconnected to the existence and stability along with numerical findings by using mathematical modeling techniques. Further, the existence results have been established for the proposed model under the Atangana-Baleanu derivative in Caputo sense (ABC) with fractional order. In continuation, we find the deterministic stability for the proposed model. Lastly, the new version of numerical approximation’s framework for the approximation of ABC fractional derivative is used to carried out the numerical simulation for the obtained results.