journal article·2024-09-01Open access

Optimal control of COVID-19 through strategic mathematical modeling: Incorporating harmonic mean incident rate and vaccination

Kamil Shah, Jamal Shah, Ebenezer Bonyah, Tmader Alballa, Hamiden Abd El-Wahed Khalifa, Usman Khan, Hameed Khan

AIP Advances· Volume 14· Issue 9

Abstract

COVID-19 is a novel virus that has spread globally, and governments around the world often implement different strategies to prevent its spread. In the literature, several COVID-19 models have been studied with the bilinear incident rate. In this study, the S1V1E1I1Q1R1 (susceptible-vaccinated-exposed-infective-quarantined-recovered) COVID-19 model is proposed. To investigate how the disease spreads in the population, an algorithm is used. The efficacy of the algorithm is used to calculate the disease-free equilibrium point. A next generation matrix technique is used to find R0. Furthermore, to check the effect of parameters on the basic reproduction number (R0), the sensitivity analysis is conducted. Numerical simulation displays that the disease spreads in the population by increasing the value of the contact rate β while the disease spread in the population reduces by increasing the value of the vaccination rate θ, quarantine rate ϕ, and recovery rate γ. Different optimal control strategies, such as social distance and quick isolation, are also implemented.
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Research context

OpenAlex topics: COVID-19 epidemiological studies · Mathematical and Theoretical Epidemiology and Ecology Models · SARS-CoV-2 and COVID-19 Research

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Faculty System of Science, Kunming University of Science and Technology 1 , Kunming, Yunnan,

School of Mathematics and Statistics, Central South University 2 , Changsha, Hunan 410083,

Information Department of Mathematics Education, Akenten Appiah Menka University of Skills Training and Entrepreneurship Development 3 , Kumasi,

Department of Mathematics, College of Sciences, Princess Nourah Bint Abdulrahman University 4 , P.O. Box 84428, Riyadh 11671,

Department of Mathematics, College of Science, Qassim University 5 , Buraydah 51452,

School of Mathematics and Statistics, Zhengzhou University 6 , Zhengzhou 450001, Henan,

Department of Mathematics, City University of Science and Information Technology 7 , Peshawar,

Funding

Deanship of Scientific Research, Princess Nourah Bint Abdulrahman University

References (34)

Show source-provided references
1. Convalescent plasma in Covid-19: Possible mechanisms of action10.1016/j.autrev.2020.102554 ↗
2. On some problems of random nets10.1007/bf02477719 ↗
3. Coronavirus infections and immune responses10.1002/jmv.25685 ↗
4. Dynamics of COVID-19 using inverse problem for coefficient identification in SIR epidemic models10.1016/j.csfx.2020.100041 ↗
5. Evaluating the effectiveness of social distancing interventions to delay or flatten the epidemic curve of coronavirus disease10.3201/eid2608.201093 ↗
6. Transmissibility of 1918 pandemic influenza10.1038/nature03063 ↗
7. A mathematical model of COVID-19 transmission10.1016/j.matpr.2021.11.480 ↗
8. Controlling COVID-1910.1038/s41562-020-0883-0 ↗
9. Analytical and numerical investigation of the SIR mathematical model10.1007/s10598-023-09572-7 ↗
10. Mathematical COVID-19 model with vaccination: A case study in Saudi Arabia10.7717/peerj-cs.959 ↗
11. Modeling the dynamics of co-infection between COVID-19 and tuberculosis with quarantine strategies: A mathematical approach10.1063/5.0212904 ↗
12. Mathematical modeling of dengue epidemic: Control methods and vaccination strategies10.1007/s12064-019-00273-7 ↗
13. Daniel Bernoulli’s epidemiological model revisited10.1016/s0025-5564(02)00122-0 ↗
14. A new fractional mathematical model to study the impact of vaccination on COVID-19 outbreaks10.1016/j.dajour.2022.100156 ↗
15. A novel SEIAHR compartment model for accessing the impact of vaccination, intervention policies, and quarantine on the COVID-19 pandemic: A case study of most affected countries Brazil, India, Italy, and USA10.1007/s40314-022-01993-1 ↗
16. Report 3: Transmissibility of 2019-nCoV10.25561/77148 ↗
17. Mathematical assessment of the impact of non-pharmaceutical interventions on curtailing the 2019 novel Coronavirus10.1016/j.mbs.2020.108364 ↗
18. Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan10.1016/j.chaos.2020.109846 ↗
19. A model based study on the dynamics of COVID-19: Prediction and control10.1016/j.chaos.2020.109889 ↗
20. Mathematical modeling for prediction dynamics of the coronavirus disease 2019 (COVID-19) pandemic, quarantine control measures10.3390/sym12091404 ↗
21. Analysis of a mathematical model for COVID-19 population dynamics in Lagos, Nigeria10.1016/j.chaos.2020.110032 ↗
22. Modeling the dynamics of COVID-19 pandemic with implementation of intervention strategies10.1140/epjp/s13360-022-02347-w ↗
23. Impact of social media advertisements on the transmission dynamics of COVID-19 pandemic in India10.1007/s12190-021-01507-y ↗
24. COVID-19 optimal vaccination policies: A modeling study on efficacy, natural and vaccine-induced immunity responses10.1016/j.mbs.2021.108614 ↗
25. A multicompartment mathematical model to study the dynamic behaviour of COVID-19 using vaccination as control parameter10.1007/s11071-022-07591-4 ↗
26. Mathematical model for COVID-19 pandemic with implementation of intervention strategies and cost-effectiveness analysis10.1016/j.rico.2023.100345 ↗
27. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission10.1016/s0025-5564(02)00108-6 ↗
28. Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model10.1007/s11538-008-9299-0 ↗
29. The mathematical theory of optimal processes10.2307/3006724 ↗
30. 2023
31. 1982 · 337
32. A mathematical model of COVID-19 with vaccination and treatment10.1155/2021/1250129 ↗
33. A rigorous theoretical and numerical analysis of a nonlinear reaction-diffusion epidemic model pertaining dynamics of COVID-1910.1038/s41598-024-56469-5 ↗
34. Sensitivity analysis and optimal control of COVID-19 dynamics based on SEIQR model10.1016/j.rinp.2021.103956 ↗