Publications by authors named "Hebatallah J Alsakaji"
In this study, we provide a fractional-order mathematical model that considers the effect of vaccination on COVID-19 spread dynamics. The model accounts for the latent period of intervention strategies by incorporating a time delay τ. A basic reproduction number, R0, is determined for the model, and prerequisites for endemic equilibrium are discussed.
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- - The paper introduces a higher-order stochastically perturbed delay differential model to analyze the dynamics of hepatitis B virus (HBV) infection while considering environmental uncertainties and the immune system's response.
- - It investigates the existence and uniqueness of a long-term equilibrium state (ergodic stationary distribution) for the positive solutions of the model, emphasizing how solutions fluctuate around a stable disease state and ensure the virus's persistence.
- - The research also discusses conditions that can lead to the disease's complete eradication and includes numerical simulations using Milstein's scheme, highlighting how the noise level significantly impacts the effectiveness of treatment strategies for infectious diseases.