Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator

Peter, Olumuyiwa James

doi:10.1155/2020/2791380

Cited by 18 publications

(9 citation statements)

References 41 publications

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“…We observed a significantly high susceptibility and infection in the solution pathways of individual species. The work of Hammouch et al (52), Bonyah et al (53), Peter (54), and Sene (55) have provided a strong basis for the discussion of our results. This indicates that, whenever the memory index increases, the rate at which people get infected with monkeypox virus reduces and vice versa, which then indicates that, using fractional order, we can obtain clear qualitative information on monkeypox virus transmission.…”

Section: Discussionsupporting

confidence: 68%

Mathematical epidemiological modeling and analysis of monkeypox dynamism with non-pharmaceutical intervention using real data from United Kingdom

Ngungu

Addai

Adeniji

et al. 2023

Front. Public Health

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In this study, a mathematical model for studying the dynamics of monkeypox virus transmission with non-pharmaceutical intervention is created, examined, and simulated using real-time data. Positiveness, invariance, and boundedness of the solutions are thus examined as fundamental features of mathematical models. The equilibrium points and the prerequisites for their stability are achieved. The basic reproduction number and thus the virus transmission coefficient ℜ0 were determined and quantitatively used to study the global stability of the model's steady state. Furthermore, this study considered the sensitivity analysis of the parameters according to ℜ0. The most sensitive variables that are important for infection control are determined using the normalized forward sensitivity index. Data from the United Kingdom collected between May and August 2022, which also aid in demonstrating the usefulness and practical application of the model to the spread of the disease in the United Kingdom, were used. In addition, using the Caputo–Fabrizio operator, Krasnoselskii's fixed point theorem has been used to analyze the existence and uniqueness of the solutions to the suggested model. The numerical simulations are presented to assess the system dynamic behavior. More vulnerability was observed when monkeypox virus cases first appeared recently as a result of numerical calculations. We advise the policymakers to consider these elements to control monkeypox transmission. Based on these findings, we hypothesized that another control parameter could be the memory index or fractional order.

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Section: Discussionsupporting

confidence: 68%

Mathematical epidemiological modeling and analysis of monkeypox dynamism with non-pharmaceutical intervention using real data from United Kingdom

Ngungu

Addai

Adeniji

et al. 2023

Front. Public Health

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“…Mathematical models have become a significant tool that many researchers have utilized to better understand the epidemiology of diseases in various populations. To gain a better insight into the disease's transmission dynamics and control, many models have been developed and studied using various methodologies [11][12][13][14][15][16][17][18][19]. To understand the spread of measles, many scientists have employed mathematical models.…”

Section: Introductionmentioning

confidence: 99%

Analysis and dynamics of measles with control strategies: a mathematical modeling approach

Peter

Panigoro

Ibrahim

et al. 2023

Int. J. Dynam. Control

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In this work, we examine the impact of certain preventive measures for effective measles control. To do this, a mathematical model for the dynamics of measles transmission is developed and analyzed. A suitable Lyapunov function is used to establish the global stability of the equilibrium points. Our analysis shows that the disease-free equilibrium is globally stable, with the measles dying out on the long run because the reproduction number R 0 ≤ 1. The condition for the global stability of the endemic equilibrium is also derived and analyzed. Our findings show that when R 0 > 1, the endemic equilibrium is globally stable in the required feasible region. In this situation, measles will spread across the populace. A numerical simulation was performed to demonstrate and support the theoretical findings. The results suggest that lowering the effective contact with an infected person and increasing the rate of vaccinating susceptible people with high-efficacy vaccines will lower the prevalence of measles in the population.

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“…Therefore, using various mathematical methodologies, researchers enlarged the classical calculus to the fractional order. Considering mathematical models with fractional derivatives are effective instruments for researching infectious diseases [21][22][23]. The researchers looked at COVID-19 mathematical models using fractional order derivatives, and the findings were excellent [24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Fractional order mathematical model for B.1.1.529 SARS-Cov-2 Omicron variant with quarantine and vaccination

Dickson

Padmasekaran

Kumar

2023

Int. J. Dynam. Control

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In this paper, a fractional order nonlinear model for Omicron, known as B.1.1.529 SARS-Cov-2 variant, is proposed. The COVID-19 vaccine and quarantine are inserted to ensure the safety of host population in the model. The fundamentals of positivity and boundedness of the model solution are simulated. The reproduction number is estimated to determine whether or not the epidemic will spread further in Tamilnadu, India. Real Omicron variant pandemic data from Tamilnadu, India, are validated. The fractional-order generalization of the proposed model, along with real data-based numerical simulations, is the novelty of this study.

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Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator

Cited by 18 publications

References 41 publications

Mathematical epidemiological modeling and analysis of monkeypox dynamism with non-pharmaceutical intervention using real data from United Kingdom

Mathematical epidemiological modeling and analysis of monkeypox dynamism with non-pharmaceutical intervention using real data from United Kingdom

Analysis and dynamics of measles with control strategies: a mathematical modeling approach

Fractional order mathematical model for B.1.1.529 SARS-Cov-2 Omicron variant with quarantine and vaccination

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