Stability for VSIR model with two susceptible groups
Source abstract
Abstract
In the present study, we analyzed the most basic transmission susceptible–infectious–recovered model of two susceptible groups with vaccination for a directly transmitted infectious disease caused by coronavirus disease 2019. A reproduction number R0 is computed, and it is obtained from the two equilibrium points, E0 and E*. The disease-free equilibrium (E0) is locally asymptotically stable if R0 < 1 and globally stable if R0 ≤ 1; if R0 > 1, then the endemic equilibrium point (E*) is locally asymptotically stable, and it is globally stable if R0 > 1. Numerical simulation is introduced to support the results.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Mathematical and Theoretical Epidemiology and Ecology Models · COVID-19 epidemiological studies · SARS-CoV-2 and COVID-19 Research
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Statistics and Operations Research, College of Science, King Saud University 1 , Riyadh,
Mathematics Department, Faculty of Science, Mansoura University 2 , Mansoura,
Department of Statistics and Operations Research, College of Science, Qassim University 3 , P.O. Box 6644, Buraydah 51452,
Funding
Mansoura University
References (18)
Show source-provided references
1. Investigation of a SARS-CoV-2 B.1.1.529 (Omicron) variant cluster Nebraska, November-December 202110.15585/mmwr.mm705152e3 ↗
2. Modeling the stochastic within-host dynamics SARS-CoV-2 infection with discrete delay10.1007/s12064-022-00379-5 ↗
3. Multisystem inflammatory syndrome in children during severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) delta and omicron variant circulation-United States, July 2021-January 202210.1093/cid/ciac471 ↗
4. A contribution to the mathematical theory of epidemics10.1098/rspa.1927.0118 ↗
5. Naming the coronavirus disease (COVID-19) and the virus that causes it
6. WHO (World Health Organization) · 2009
7. Stability analysis for differential infectivity epidemic models10.1016/S1468-1218(03)00019-1 ↗
8. Stability analysis of SIR model with vaccination10.5923/j.ajcam.20140401.03 ↗
9. Lyapunov functions and global stability analysis for epidemic model with n-infectious10.1007/s12648-023-02895-6 ↗
10. Analyzing measles spread through a Markovian SEIR model10.1038/s41598-025-97318-3 ↗
11. SIR model with vaccination: Bifurcation analysis10.1007/s12346-023-00802-2 ↗
12. A vaccination-based COVID-19 model: Analysis and prediction using Hamiltonian Monte Carlo10.1016/j.heliyon.2024.e38204 ↗
13. Note on a susceptible-infectious-recovered epidemic model with the heterogeneity in susceptibility10.1016/j.chaos.2024.115041 ↗
14. Early transmission dynamics in Wuhan, China, of novel coronavirus-infected pneumonia10.1056/nejmoa2001316 ↗
15. Early dynamics of transmission and control of COVID-19: A mathematical modelling study10.1016/s1473-3099(20)30144-4 ↗
16. World Health Organization (WHO) · 2020
17. World Bank, World Development Indicators (2022), https://data.worldbank.org.
18. A global database of COVID-19 vaccinations10.1038/s41562-021-01122-8 ↗