A comparative numerical study and stability analysis of African swine fever virus modelled by Caputo fractional derivative

Outbreaks of African swine fever can result in substantial financial repercussions for pig industries in affected areas thereby stemming from the significant mortality rates among pigs and disruptions in the market. In this work, the behavior of an African swine fever virus model with a Caputo fractional derivative is analyzed. The existence and uniqueness results for the proposed fractional order model of African swine fever virus are investigated. The stability of the proposed model is examined within the framework of Ulam-Hyers and generalized Ulam-Hyers. The fractional Adams-Bashforth-Moulton predictor–corrector method is applied to simulate the model, which is compared with the fractional Euler method to validate its efficiency.