Mathematical modelling of COVID-19: A case study of Italy
TLDR
In this paper, a mathematical epidemiological model of COVID-19 to investigate the dynamics of this pandemic disease and fitted this model to the current COVID -19 cases in Italy.About:
This article is published in Mathematics and Computers in Simulation.The article was published on 2022-04-01 and is currently open access. It has received 16 citations till now. The article focuses on the topics: Basic reproduction number & Social distance.read more
Citations
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An SEQAIHR model to study COVID-19 transmission and optimal control strategies in Hong Kong, 2022
TL;DR: Wang et al. as mentioned in this paper proposed an SEQAIHR model with saturated treatment for controlling COVID-19 spreading with limited medical facilities, and checked the biological feasibility of model solutions and computed the basic reproduction number ( $$R_0$$ ).
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A fractal fractional order vaccination model of COVID-19 pandemic using Adam’s moulton analysis
Gali Vijayalakshmi,R. P +1 more
TL;DR: In this article , the effectiveness of vaccination in Covid-19 pandemic disease by modelling three compartments susceptible, vaccinated and infected (SVI) of Atangana Baleanu of Caputo (ABC) type derivatives in non-integer order is analyzed and its stability is performed.
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Mathematical modeling of chickenpox in Phuket: Efficacy of precautionary measures and bifurcation analysis
Sayooj Aby Jose,Rina Saha Manoj Bangadkar I. A. Raja Rina Saha Manoj Bangadkar I. A. Raja,J. Dianavinnarasi,Dumitru Baleanu,A. Jirawattanapanit +4 more
TL;DR: In this article , a mathematical model depicting the transmission dynamics of chickenpox is developed by incorporating a new parameter denoting the rate of precautionary measures, and the influence and importance of following precautionary steps are showed by applying the real data collected at Phuket province, Thailand.
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Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive
P. K. Santra,G. S. Mahapatra +1 more
TL;DR: In this paper , the dynamics of a COVID-19 epidemic in multiple susceptible populations, including the various stages of vaccination administration, were explored, and the conditions determining disease persistence were obtained.
References
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Middle East Respiratory Syndrome Coronavirus (MERS-CoV)
TL;DR: Camels are likely to be a major reservoir host for MERSCoV and an animal source of MERS infection in humans, however, the exact role of camels in transmission of the virus and the exact route(s) of transmission are unknown.
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Global results for an epidemic model with vaccination that exhibits backward bifurcation
TL;DR: It is shown that a backward bifurcation leading to bistability can occur and under mild parameter constraints, compound matrices are used to show that each orbit limits to an equilibrium.
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A simple SIS epidemic model with a backward bifurcation
TL;DR: It is shown that an SIS epidemic model with a non-constant contact rate may have multiple stable equilibria, a backward bifurcation and hysteresis, and the consequences for disease control are discussed.
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Backward bifurcations in dengue transmission dynamics
TL;DR: In both the original and the extended models, it is shown, using Lyapunov function theory and LaSalle Invariance Principle, that the backward bifurcation phenomenon can be removed by substituting the associated standard incidence function with a mass action incidence.
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Backward bifurcation of an epidemic model with saturated treatment function
Xu Zhang,Xu Zhang,Xianning Liu +2 more
TL;DR: In this paper, an epidemic model with saturated incidence rate and saturated treatment function is studied, where the treatment function adopts a continuous and differentiable function which can describe the effect of delayed treatment when the number of infected individuals is getting larger and the medical condition is limited.