Lévy noise impact on a stochastic hepatitis B epidemic model under real statistical data and its fractal–fractional Atangana–Baleanu order model
Anwarud Din, Yongjin Li
Abstract
Abstract The introduction of Lévy noise in stochastic Hepatitis B epidemic model SACVR for comprehending its dynamical behavior and related impacts are focused in this work. For this purpose, the existence, and the uniqueness of the positive solution are proved at first. Then, we establish a stochastic threshold as a sufficient condition for the extinction and persistence in mean of the disease. Further, convert the proposed Hepatitis B epidemic model to Fractal-fractional Atangana-Baleanu order model and analyzed for the qualitative Fractal-fractional theory. For additional support, ultimately to support the obtained theoretical results, numerical simulations are performed.
Topics & Concepts
FractalNoise (video)Statistical physicsStochastic modellingOrder (exchange)Epidemic modelApplied mathematicsMathematicsMathematical analysisStatisticsPhysicsComputer scienceArtificial intelligencePopulationMedicineImage (mathematics)Environmental healthEconomicsFinanceFractional Differential Equations SolutionsStatistical Distribution Estimation and ApplicationsMathematical and Theoretical Epidemiology and Ecology Models