Dynamical Analysis of a Caputo Fractional Order SIR Epidemic Model with a General Treatment Function

Alaoui, Abdesslem Lamrani; Tilioua, Mouhcine; Ammi, Moulay Rchid Sidi; Agarwal, Praveen

doi:10.1007/978-981-16-2450-6_2

Cited by 4 publications

(3 citation statements)

References 41 publications

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“…However, in the context of housing experimentally infected and naive horses in adjacent stalls, no transmission of the virus to naive animals has been observed ( Williamson et al , 1998 ). It is important to note that this lack of transmission could potentially be attributed to the absence of the copious frothy nasal discharge that has been proposed to play a crucial role in both inter-horse transmission and zoonotic transmission ( Marsh et al , 2011 ; Alaoui et al, 2021 ).…”

Section: Introductionmentioning

confidence: 99%

Advancing the frontiers: Revolutionary control and prevention paradigms against Nipah virus

Orosco

2023

Open Vet J

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Nipah Virus (NiV) is a highly virulent pathogen that poses a significant threat to human and animal populations. This review provides a comprehensive overview of the latest control and prevention strategies against NiV, focusing on vaccine development, antiviral drug discovery, early diagnosis, surveillance, and high-level biosecurity measures. Advancements in vaccine research, including live-attenuated vaccines, virus-like particles, and mRNA-based vaccines, hold promise for preventing NiV infections. Additionally, antiviral drugs, such as remdesivir, ribavirin, and favipiravir, have the potential to inhibit NiV replication. Early diagnosis through molecular and serological assays, immunohistochemistry, and real-time reverse transcription polymerase chain reaction (RT-PCR) plays a crucial role in timely detection. Surveillance efforts encompassing cluster-based and case-based systems enhance outbreak identification and provide valuable insights into transmission dynamics. Furthermore, the implementation of high-level biosecurity measures in agriculture, livestock practices, and healthcare settings is essential to minimize transmission risks. Collaboration among researchers, public health agencies, and policymakers is pivotal in refining and implementing these strategies to effectively control and prevent NiV outbreaks and safeguard public health on a global scale.

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Section: Introductionmentioning

confidence: 99%

Advancing the frontiers: Revolutionary control and prevention paradigms against Nipah virus

Orosco

2023

Open Vet J

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“…Fractional calculus has become very crucial and an integral tool in the last three decades in fields such as biomathematics, economics, physics, finance, engineering and many others as it provides different scenarios and more accurate results compared to other techniques [8]. Almeida [19] in his work presented two reasons for the preference of fractional calculus over the classical (traditional or ordinary) calculus.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a fractional order climate model due to excessive emission and accumulation of carbon dioxide in the atmosphere

Achimugwu,

Kinyanjui,

Malonza

2023

J. Nig. Soc. Phys. Sci.

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The devastating consequences of climate change on our planet cannot be taken lightly. Greenhouse gas emissions due to the various activities of the increasing human population are solely responsible for this change. The chief and most significant of these gases is carbon dioxide. A fractional-order model of five compartments is considered. The uniqueness and existence, the positivity, and the boundedness of the model solution are established. The equilibrium points of the model are given. By formulating different Lyapunov functions, the global stability of the four equilibrium points was determined. The numerical simulation of the model was done using the Predict-Evaluate-Correct-Evaluate method of Adam-Bashforth-Moulton by considering four different orders of 0.7, 0.8, 0.9, and 1.0. According to the results, excessive concentrations of carbon dioxide in the atmosphere can be reduced by the joint employment of mitigation measures.

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“…Researchers in the field of epidemiology have widely used fractional-order operators [17] , [18] , [19] , [20] . Recent studies have focused on the emergence of the COVID-19 pandemic, where it has garnered considerable interest recently.…”

Section: Introductionmentioning

confidence: 99%

The effect of the Caputo fractional difference operator on a new discrete COVID-19 model

et al. 2022

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Dynamical Analysis of a Caputo Fractional Order SIR Epidemic Model with a General Treatment Function

Cited by 4 publications

References 41 publications

Advancing the frontiers: Revolutionary control and prevention paradigms against Nipah virus

Advancing the frontiers: Revolutionary control and prevention paradigms against Nipah virus

Analysis of a fractional order climate model due to excessive emission and accumulation of carbon dioxide in the atmosphere

The effect of the Caputo fractional difference operator on a new discrete COVID-19 model

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