Fractional order of pneumococcal pneumonia infection model with Caputo Fabrizio operator

Peter, Olumuyiwa James; Yusuf, Abdullahi; Oshinubi, Kayode; Oguntolu, Festus Abiodun; Lawal, John Oluwasegun; Abioye, Adesoye Idowu; Ayoola, Tawakalt Abosede

doi:10.1016/j.rinp.2021.104581

Cited by 23 publications

(6 citation statements)

References 29 publications

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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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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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“…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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“…The authors showed that the fractional models provide more accurate results due to an extra parameter in the system. A fractional order epidemic model has been introduced for pneumococcal pneumonia infection to understand the spread of the infection 20 . As vector-borne disease exhibits knowledge of its previous stages through an associative learning mechanism.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the dynamics of a vector-borne infection with the effect of imperfect vaccination from a fractional perspective

Tang,

Jan,

Khurshaid

et al. 2023

Sci Rep

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The burden of vector-borne infections is significant, particularly in low- and middle-income countries where vector populations are high and healthcare infrastructure may be inadequate. Further, studies are required to investigate the key factors of vector-borne infections to provide effective control measure. This study focuses on formulating a mathematical framework to characterize the spread of chikungunya infection in the presence of vaccines and treatments. The research is primarily dedicated to descriptive study and comprehension of dynamic behaviour of chikungunya dynamics. We use Banach’s and Schaefer’s fixed point theorems to investigate the existence and uniqueness of the suggested chikungunya framework resolution. Additionally, we confirm the Ulam–Hyers stability of the chikungunya system. To assess the impact of various parameters on the dynamics of chikungunya, we examine solution pathways using the Laplace-Adomian method of disintegration. Specifically, to visualise the impacts of fractional order, vaccination, bite rate and treatment computer algorithms are employed on the infection level of chikungunya. Our research identified the framework’s essential input settings for managing chikungunya infection. Notably, the intensity of chikungunya infection can be reduced by lowering mosquito bite rates in the affected area. On the other hand, vaccination, memory index or fractional order, and treatment could be used as efficient controlling variables.

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Fractional order of pneumococcal pneumonia infection model with Caputo Fabrizio operator

Cited by 23 publications

References 29 publications

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

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

Analysis of the dynamics of a vector-borne infection with the effect of imperfect vaccination from a fractional perspective

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