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Article
Physics, Multidisciplinary
Suvankar Majee et al.
Summary: A recent outbreak of monkeypox virus infection that originated in the United Kingdom has now spread globally. In order to study the transmission dynamics of this virus, a seven-compartmental fractional-order mathematical model is formulated, including five compartments for the human population and two compartments for animals or rodents. The existence and uniqueness of the solution for this fractional order model are examined. The basic reproduction number for humans (R0h) is...
Review
Virology
Nicola L. Bragazzi et al.
Summary: An emerging global outbreak of monkeypox infection is spreading rapidly, with clinical characteristics and transmission route different from previous outbreaks. Preliminary risk factors have been identified, but further research is needed.
JOURNAL OF MEDICAL VIROLOGY
(2023)
Article
Mathematics, Applied
Anal Chatterjee et al.
Summary: This paper focuses on the study of ecosystem based fisheries management. The model considers continuous harvesting of predators and observes Hopf bifurcation when the intrinsic growth rate of the predator population exceeds a critical value. The study highlights the significant impact of taxation, as the optimal harvest strategy is determined by imposing a tax per unit of predator biomass. The paper also explores the implications of taxation, deriving different bifurcations and assessing global stability through numerical simulations.
INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA
(2023)
Article
Mathematics, Applied
Suvankar Majee et al.
Summary: The monkeypox outbreak in the UK has spread to every continent. A mathematical model using ordinary differential equations was developed to examine the transmission dynamics of monkeypox. The reproduction numbers for humans (R-0(h)) and animals (R-0(a)) were calculated using the next-generation matrix technique. The study found three equilibria depending on the values of R 0 h and R 0 a and investigated the stability of these equilibria. This is the first study to construct and solve an optimal monkeypox control strategy considering vaccination and treatment controls.
Article
Physics, Multidisciplinary
Hardik Joshi et al.
Summary: This paper proposes a non-singular SIR model with the Mittag-Leffler law, using the nonlinear Beddington-DeAngelis infection rate and Holling type II treatment rate. The qualitative properties of the model are discussed, and the local and global stability are analyzed. Conditions are developed to ensure local and global asymptotic stability. Numerical simulations are provided to support the theoretical results and investigate the impact of various factors on COVID-19. The results show that measures such as face masks, social distancing, quarantine, lockdown, immigration, and effective treatment rates can significantly reduce the infected population, while limitations in treatment resources can lead to an increase in infections.
Article
Engineering, Multidisciplinary
Samuel Okyere et al.
Summary: This study proposes the use of Atangana-Baleanu fractional-order derivatives to investigate the transmission of Monkeypox in Ghana. The model's basic reproduction number was found to be 0.1940, and the fractional-order derivatives were shown to have an influence on the dynamics of the disease. The numerical simulation revealed that the disease can be eradicated within five days when the vaccine coverage rate is 0.2.
RESULTS IN ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Waleed Adel et al.
Summary: In this paper, a novel fractional-order monkeypox epidemic model is proposed, which applies fractional-order derivatives in order to achieve more realistic results. The model consists of a 14-dimensional system of fractional-order differential equations, representing the transmission and spread of monkeypox between humans and rodents. The existence, uniqueness, non-negativity, and boundedness of the solution to the model are proven, and the next-generation matrix approach is used to determine the control monkeypox reproduction number and the equilibrium points. The effect of the main parameters and optimal control strategies on the dynamics of the model are investigated.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Mathematical & Computational Biology
Alia M. Alzubaidi et al.
Summary: This article examines the dynamics of monkeypox transmission using a fractional mathematical model, incorporating human-to-animal transmission. The study applies fixed point theorems to establish the existence and uniqueness of the model's fractional and fractal-fractional problems. A numerical scheme is developed and simulations demonstrate the combined effect of fractal and fractional orders on the model's dynamics. The findings highlight the added biological insight provided by the new fractal-fractional operator.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2023)
Article
Mathematical & Computational Biology
Hardik Joshi et al.
Summary: In this paper, the SV1V2EIR model is constructed to reveal the impact of two-dose vaccination on COVID-19 using Caputo fractional derivative. The model is validated and sensitivity analysis is conducted. Results show that vaccine dosage, disease transmission rate, and Caputo fractional derivative have significant effects on the vaccine efficacy.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2023)
Article
Infectious Diseases
Najmul Haider et al.
Summary: The study discusses the research gaps in the epidemiology of Monkeypox virus (MPX) in endemic countries and proposes hypotheses for the recent increase in MPX cases in West Africa, suggesting a possible explanation for the ongoing epidemic in Europe, America, and Australia. The authors highlight the epidemic potential of MPX in humans and emphasize the need for a better understanding of the burden of MPX in West and Central Africa, as well as the unknown diversity and extent of the animal reservoir. They hypothesize that increased human-rodent interactions and a larger immune-naive population may have contributed to the recent surge in MPX cases. The study emphasizes the importance of national, regional, and international collaborations to address the research gaps related to MPX outbreaks.
INTERNATIONAL JOURNAL OF INFECTIOUS DISEASES
(2022)
Article
Immunology
Narendra Kumar et al.
Summary: Two cases of monkeypox virus infection in individuals returning from Nigeria to the USA have led to a dramatic increase in infection rates. As of June 10, 2022, over 1,500 cases have been reported in 43 countries, including Europe and North America. While monkeypox virus is prevalent in central and western Africa, its presence in developed countries has raised concerns about global spread.
JOURNAL OF AUTOIMMUNITY
(2022)
Letter
Medicine, General & Internal
Pradip Dashraath et al.
Article
Medicine, General & Internal
John P. Thornhill et al.
Summary: This report describes 528 cases of monkeypox in 16 countries. Common clinical findings include rash, mucosal lesions, fever, lethargy, and lymphadenopathy. Few patients required hospitalization.
NEW ENGLAND JOURNAL OF MEDICINE
(2022)
Article
Virology
Oyelola A. Adegboye et al.
Summary: Several neglected infectious pathogens, including monkeypox virus (MPXV), have resurfaced in recent decades, posing a global health burden. Despite the availability of an early-stage vaccine against MPXV infection, there has been a continued rise in travel-related outbreaks worldwide. As of May 31, 2022, there have been 472 confirmed cases reported in 27 countries, marking the highest number of cases recorded outside Africa since the disease was first discovered in the early 1970s.
Article
Microbiology
Najim Z. Alshahrani et al.
Summary: The general population in Saudi Arabia has relatively poor knowledge of monkeypox, indicating a need for public education and increased awareness to effectively respond to outbreaks.
Article
Mathematics, Interdisciplinary Applications
A. El-Mesady et al.
Summary: This study examines a fractional-order model to simulate the spread of the monkeypox virus in human and rodent populations. The model is formulated as a system of nonlinear differential equations with eight mutually exclusive compartments. The reproduction number and equilibrium points of the model are analyzed, and the impacts of key parameters and control measures for the monkeypox epidemic are thoroughly examined.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Multidisciplinary Sciences
Akira Endo et al.
Summary: The outbreak of monkeypox in non-endemic regions in May 2022 has distinct epidemiological features, particularly its rapid spread among men who have sex with men (MSM). A study suggests that the heavy-tailed sexual partnership distribution, where a few individuals have numerous partners, can explain the sustained growth of monkeypox among MSM. This highlights the need for tailored messaging and support to prevent and detect monkeypox among MSM with high numbers of partners.
Article
Engineering, Mechanical
Nauman Ahmed et al.
Summary: A novel reaction-diffusion model for COVID-19 spread, incorporating random movements of individuals, was investigated. Equilibrium points and stability analyses were conducted for diffusive and non-diffusive models. The study revealed significant impact of individual random motion on virus spread dynamics and offered strategies for better control.
NONLINEAR DYNAMICS
(2021)
Review
Computer Science, Interdisciplinary Applications
G. Sales Teodoro et al.
JOURNAL OF COMPUTATIONAL PHYSICS
(2019)
Article
Mathematics, Interdisciplinary Applications
Risong Li et al.
DISCRETE DYNAMICS IN NATURE AND SOCIETY
(2011)
Editorial Material
Immunology
Donald A. Henderson
Article
Mathematics, Applied
Mohammad Saleh Tavazoei et al.
PHYSICA D-NONLINEAR PHENOMENA
(2008)
Article
Mathematics, Applied
Wei Lin
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2007)
Article
Immunology
Donita R. Croft et al.
EMERGING INFECTIOUS DISEASES
(2007)
Article
Biology
P van den Driessche et al.
MATHEMATICAL BIOSCIENCES
(2002)
Article
Mathematics, Applied
K Diethelm et al.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2002)
