Numerical and Qualitative Study of SICQR Epidemic Model. | ||||
| Delta Journal of Science | ||||
| Article 4, Volume 48, Issue 1, January 2024, Page 47-59 PDF (1.04 MB) | ||||
| Document Type: Research and Reference | ||||
| DOI: 10.21608/djs.2024.241133.1134 | ||||
 View on SCiNiTO | ||||
| Author | ||||
hala emad abdelbaki  
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| mathematics department, faculty of science, minia university | ||||
| Abstract | ||||
| In this article, the nonlinear SICQR model explains the dynamics of transmission of infectious diseases in a community. This model has five epidemiological compartments: susceptible S, infective I, individuals with strong immunity C, quarantined Q and recovered R. The desired model owns different equilibrium cases as an endemic equilibrium and a disease free equilibrium. This model describes the importance of strong immunity for community members to control the spread of COVID-19. The shifted Chebyshev spectral collocation (SCSC) technique is utilized to find the numerical solutions the desired model. The obtained results clarify the influence of strengthening the immunity of community members on controlling the spread of the disease. | ||||
| Keywords | ||||
| Epidemiological model; Basic reproductive number; Stability analysis; SICQR model; SCSC method | ||||
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