scholarly journals Positivity and Boundedness of Solutionsfor a Stochastic Seasonal EpidemiologicalModel for Respiratory Syncytial Virus(RSV)

2017 ◽  
Vol 13 (25) ◽  
pp. 95-121 ◽  
Author(s):  
Gilberto González Parra ◽  
Abraham J Arenas ◽  
Miladys Cogollo

In this paper we investigate the positivity and boundednessof the solu-tion of a stochastic seasonal epidemic model for the respiratory syncytialvirus(RSV). The stochasticity in the model is due to fluctuating physicaland social environments and is introduced by perturbing thetransmissionparameter of the seasonal disease. We show the existence anduniquenessof the positive solution of the stochastic seasonal epidemic model whichis required in the modeling of populations since all populations must bepositive from a biological point of view. In addition, the positivity andboundedness of solutions is important to other nonlinear models that arisein sciences and engineering. Numerical simulations of the stochastic modelare performed using the Milstein numerical scheme and are included tosupport our analytic results.

2012 ◽  
Vol 542-543 ◽  
pp. 66-69
Author(s):  
Nan Zhang

The pulsating flow is an important factor affecting the performance of the rotor-seal system. From the point of view of pulsating flow induced vibration, the nonlinear models of the rotor-seal system with the pulsating fluid flow are established. Based on the numerical simulations by Matlab/Simulink, the characteristics of pulsating flow induced vibration with the flow velocity in a form of sine wave or/and a constant have been quantitatively analyzed. The investigation also demonstrates that the proposed models, from the point of view of pulsating flow induced vibration, can be effectively applied to the analysis of the rotor-seal system.


Author(s):  
Hassan Aghdaoui ◽  
Mouhcine Tilioua ◽  
Kottakkaran Sooppy Nisar ◽  
Ilyas Khan

The aim is to explore a COVID-19 SEIR model involving Atangana-Baleanu Caputo type (ABC) fractional derivatives. Existence, uniqueness, positivity, and boundedness of the solutions for the model are established. Some stability results of the proposed system are also presented. Numerical simulations results obtained in this paper, according to the real data, show that the model is more suitable for the disease evolution.


2014 ◽  
Vol 143 (4) ◽  
pp. 813-820 ◽  
Author(s):  
D. ONOZUKA

SUMMARYThe incidence of respiratory syncytial virus (RSV) has been reported to exhibit seasonal variation. However, the impact of diurnal temperature range (DTR) on RSV has not been investigated. After acquiring data related to cases of RSV and weather parameters of DTR in Fukuoka, Japan, between 2006 and 2012, we used negative binomial generalized linear models and distributed lag nonlinear models to assess the possible relationship between DTR and RSV cases, adjusting for confounding factors. Our analysis revealed that the weekly number of RSV cases increased with a relative risk of 3·30 (95% confidence interval 1·65–6·60) for every 1°C increase in DTR. Our study provides quantitative evidence that the number of RSV cases increased significantly with increasing DTR. We suggest that preventive measures for limiting the spread of RSV should be considered during extended periods of high DTR.


2021 ◽  
Author(s):  
HE Groves ◽  
P Piché-Renaud ◽  
A Peci ◽  
DS Farrar ◽  
S Buckrell ◽  
...  

AbstractBackgroundThe ongoing coronavirus disease 2019 (COVID-19) pandemic has resulted in implementation of public health measures worldwide to mitigate disease spread, including; travel restrictions, lockdowns, messaging on handwashing, use of face coverings and physical distancing. As the pandemic progresses, exceptional decreases in seasonal respiratory viruses are increasingly reported. We aimed to evaluate the impact of the pandemic on circulation of influenza, respiratory syncytial virus and other seasonal respiratory viruses in Canada.MethodsEpidemiologic data were obtained from the Canadian Respiratory Virus Detection Surveillance System. Weekly data from the week ending 30th August 2014 until the week ending the 13th February 2021 were analysed. We compared trends in laboratory detection and test volumes during the 2020/2021 influenza season with baseline pre-pandemic seasons from 2014 to 2019.FindingsWe observed a dramatically lower percentage of tests positive for all seasonal respiratory viruses during 2020-2021 compared to baseline. For influenza A and B the percent positive decreased to 0·0017 and 0·0061 times that of baseline respectively and for RSV, the percent positive dropped to 0·0145 times that of baseline. Ongoing detection of enterovirus/rhinovirus occurred, with regional variation in the epidemic patterns and intensity.InterpretationWe report an effective absence of the annual seasonal epidemic of most seasonal respiratory viruses in 2020/2021. This dramatic decrease is likely related to implementation of multi-layered public health measures during the pandemic. The impact of such measures may have relevance for public health practice in mitigating seasonal respiratory virus epidemics and for informing responses to future respiratory virus pandemics.FundingNo additional funding source was required for this study.Research in contextEvidence before this studyWe searched PubMed, preprint servers and country-specific public health rapid communications to identify surveillance and epidemiological studies on influenza, respiratory syncytial virus and other seasonal respiratory virus detection during the COVID-19 pandemic. A number of regional and national studies were identified worldwide. The majority of these studies focus on influenza epidemiology and all studies show consistent decreases in circulation of seasonal non-SARS-CoV-2 respiratory viruses. One previous study on the impact of non-pharmaceutical interventions on laboratory detections of influenza A and B in Canada included data for the 2019/2020 influenza season. Another recent study examined the effect of seasonal respiratory virus transmission on COVID-19 syndromic surveillance in the province of Ontario, Canada. No previous Canada-wide study has described the epidemiology of influenza, respiratory syncytial virus and other seasonal respiratory virus detection during the 2020/2021 influenza season.Added value of this studyThe Canadian Respiratory Virus Detection Surveillance System provides weekly respiratory virus detection reports from sentinel laboratories across Canada for influenza, respiratory syncytial virus, parainfluenza viruses, adenovirus, human metapneumovirus, enterovirus/rhinovirus and seasonal coronaviruses. Data have been collected continuously since 2004. Analysis of this dataset provides a comprehensive assessment of the impact of the COVID-19 pandemic on circulation of seasonal respiratory viruses in Canada and analysis of data from the Canadian Public Health Infobase on COVID-19 allowed comparison of SARS-CoV-2 epidemiology. This is the first country-wide study in the Northern hemisphere to describe the concurrent epidemiology of all major seasonal respiratory viruses and SARS-CoV-2 during the 2020/2021 influenza season.Implications of all the available evidenceThe effective absence of the annual seasonal epidemic for most non-SARS-CoV-2 respiratory viruses in 2020/2021 has important public health implications for informing ongoing and future responses to respiratory virus epidemics and pandemics.


Planta Medica ◽  
2016 ◽  
Vol 81 (S 01) ◽  
pp. S1-S381
Author(s):  
PF Uzor ◽  
DC Odimegwu ◽  
W Ebrahim ◽  
PO Osadebe ◽  
NJ Nwodo ◽  
...  

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