A Mathematical Model Analysis of Meningitis with Treatment and Vaccination in Fractional Derivatives

Peter, Olumuyiwa James; Yusuf, Abdullahi; Ojo, Mayowa M.; Kumar, Sumit; Kumari, Nitu; Oguntolu, Festus Abiodun

doi:10.1007/s40819-022-01317-1

Cited by 27 publications

(11 citation statements)

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“…2022a ; Peter et al. 2022 , 2018b , 2018c ) is used to analyse the stability of the COVID-free equilibrium. Particularly, using the notation in Oke et al.…”

Section: Model Formulation and Analysismentioning

confidence: 99%

Mathematical Model of COVID-19 Pandemic with Double Dose Vaccination

et al. 2023

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This paper is concerned with the formulation and analysis of an epidemic model of COVID-19 governed by an eight-dimensional system of ordinary differential equations, by taking into account the first dose and the second dose of vaccinated individuals in the population. The developed model is analyzed and the threshold quantity known as the control reproduction number is obtained. We investigate the equilibrium stability of the system, and the COVID-free equilibrium is said to be locally asymptotically stable when the control reproduction number is less than unity, and unstable otherwise. Using the least-squares method, the model is calibrated based on the cumulative number of COVID-19 reported cases and available information about the mass vaccine administration in Malaysia between the 24th of February 2021 and February 2022. Following the model fitting and estimation of the parameter values, a global sensitivity analysis was performed by using the Partial Rank Correlation Coefficient (PRCC) to determine the most influential parameters on the threshold quantities. The result shows that the effective transmission rate , the rate of first vaccine dose , the second dose vaccination rate and the recovery rate due to the second dose of vaccination are the most influential of all the model parameters. We further investigate the impact of these parameters by performing a numerical simulation on the developed COVID-19 model. The result of the study shows that adhering to the preventive measures has a huge impact on reducing the spread of the disease in the population. Particularly, an increase in both the first and second dose vaccination rates reduces the number of infected individuals, thus reducing the disease burden in the population.

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“…2022a ; Peter et al. 2022 , 2018b , 2018c ) is used to analyse the stability of the COVID-free equilibrium. Particularly, using the notation in Oke et al.…”

Section: Model Formulation and Analysismentioning

confidence: 99%

Mathematical Model of COVID-19 Pandemic with Double Dose Vaccination

et al. 2023

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“…Because these structures rely on the memory-constrained strength of a fractional derivative operator, the study of epidemiological dynamical processes incorporating memory effects is acceptable. Therefore, many researchers have examined fractional operator-based epidemic models for various infectious illnesses because they exhibit a plausible biphasic decline in disease transmission [31] , [32] , [33] , [34] , [35] , [36] , [37] . For instance, Peter and co-workers in [37] used a newly formulated non-integer order mathematical model incorporating the effects of vaccination and treatment under Atangana-Baleanu-Caputo derivative operator to study the transmission dynamic of meningitis in the population.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, many researchers have examined fractional operator-based epidemic models for various infectious illnesses because they exhibit a plausible biphasic decline in disease transmission [31] , [32] , [33] , [34] , [35] , [36] , [37] . For instance, Peter and co-workers in [37] used a newly formulated non-integer order mathematical model incorporating the effects of vaccination and treatment under Atangana-Baleanu-Caputo derivative operator to study the transmission dynamic of meningitis in the population. The authors remarked that fractional parameter acts as a control parameter to identify important techniques for the disease control.…”

Section: Introductionmentioning

confidence: 99%

A new fractional mathematical model to study the impact of vaccination on COVID-19 outbreaks

Kumawat

Bhatter

Jangid

et al. 2023

Decision Analytics Journal

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“…For many decades, mathematical models have been formulated and examined to study how various epidemic diseases are controlled and spread. For example, see [22] , [23] , [24] , [25] , [26] , [27] , [28] , [29] , [30] , [31] , [32] , [33] , [34] and the references therein. To better understand the dynamics of co-infection diseases, some studies have been developed (see [21] , [35] , [36] , [4] , [37] ).…”

Section: Introductionmentioning

confidence: 99%