A Two-Dose Vaccine Epidemic Model with Power Incidence Rate

2019/05/02 by Gabriel Obed Fosu, Fosu, Gabriel O., Emmanuel K. Mintah +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #34D04 #37C75 #92B08 #COVID-19 epidemiological studies #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Physics and Society (physics.soc-ph) #Populations and Evolution (q-bio.PE)

paper · pdf · doi:10.48550/arxiv.1905.01158

openalex publication_date 2019/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The dynamics of a SIVR model with power relationship incidence rates (βI^p S^q) is investigated. It is assumed an individual can be susceptible after receiving the first dose of the vaccine, hence a second dose is required to attain permanent immunity. The steady states conditions of the disease-free equilibrium and the endemic equilibrium are critically presented. Numerical simulations are carried out to determine the impact of the exponential parameters (p;q) on infection.

Citations

• Global stability for the SEIR model in epidemiology
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• The Mathematics of Infectious Diseases

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