We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Co-Dynamics of COVID-19 and Viral Hepatitis B Using a Mathematical Model of Non-Integer Order: Impact of Vaccination.
- Authors
Omame, Andrew; Onyenegecha, Ifeoma P.; Raezah, Aeshah A.; Rihan, Fathalla A.
- Abstract
The modeling of biological processes has increasingly been based on fractional calculus. In this paper, a novel fractional-order model is used to investigate the epidemiological impact of vaccination measures on the co-dynamics of viral hepatitis B and COVID-19. To investigate the existence and stability of the new model, we use some fixed point theory results. The COVID-19 and viral hepatitis B thresholds are estimated using the model fitting. The vaccine parameters are plotted against transmission coefficients. The effect of non-integer derivatives on the solution paths for each epidemiological state and the trajectory diagram for infected classes are also examined numerically. An infection-free steady state and an infection-present equilibrium are achieved when R 0 < 1 and R 0 > 1 , respectively. Similarly, phase portraits confirm the behaviour of the infected components, showing that, regardless of the order of the fractional derivative, the trajectories of the disease classes always converge toward infection-free steady states over time, no matter what initial conditions are assumed for the diseases. The model has been verified using real observations.
- Subjects
VIRAL hepatitis; HEPATITIS B; FIXED point theory; VACCINATION; MATHEMATICAL models; MARKOV spectrum
- Publication
Fractal & Fractional, 2023, Vol 7, Issue 7, p544
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract7070544