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

S. Suganya; V. Parthiban; S. Suganya; V. Parthiban

doi:10.3934/mmc.2025025

Mathematical Modelling and Control

2025, Volume 5, Issue 4: 368-378. doi: 10.3934/mmc.2025025

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

S. Suganya ,
V. Parthiban ^,

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai - 600127, Tamil Nadu, India

Received: 15 April 2024 Revised: 12 August 2024 Accepted: 09 October 2024 Published: 23 October 2025

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.
- African swine fever virus,
- mathematical models,
- Caputo fractional derivative,
- Ulam-Hyers stability,
- numerical simulation
Citation: S. Suganya, V. Parthiban. A comparative numerical study and stability analysis of African swine fever virus modelled by Caputo fractional derivative[J]. Mathematical Modelling and Control, 2025, 5(4): 368-378. doi: 10.3934/mmc.2025025

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Abstract

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.

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