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The goal of the paper is to sharpen and generalise bounds involving Cheeger's isoperimetric constant h and the first eigenvalue λ 1 of the Laplacian. A celebrated lower bound of λ 1 in terms of h, λ 1 ≥ h 2 / 4 , was proved by Cheeger in 1970 for smooth Riemannian manifolds. An upper bound on λ 1 in terms of h was established by Buser in 1982 (with dimensional constants) and improved (to a dimension-free estimate) by Ledoux in 2004 for smooth Riemannian manifolds with Ricci curvature bounded below. The goal of the paper is twofold. First we sharpen the inequalities obtained by Buser and Ledoux obtaining a dimension-free sharp Buser inequality for spaces with (Bakry-Émery weighted) Ricci curvature bounded below by K ∈ R (the inequality is sharp for K > 0 as equality is obtained on the Gaussian space). Second all of our results hold in the higher generality of (possibly non-smooth) metric measure spaces with Ricci curvature bounded below in synthetic sense, the so-called RCD ( K , ∞ ) spaces.The prevalence of COVID-19 disease continues to be a significant psychosocial status among health care workers (HCWs) and the general population worldwide. This cross sectional study aimed to compare the psychosocial status between healthcare workers and general population during the prevalence of COVID-19 disease in southeast Iran. Totally 415 health care workers of a medical service center for COVID-19 patients and 1023 people of general population participated in the study. An online socio-demographic characteristics questionnaire, General Health Questionnaire (GHQ -28), and Generalized Anxiety Disorder 7-item (GAD-7) were utilized to evaluate psychosocial status. According to GHQ, the psychological disorders of the HCWs were significantly higher than that of the general population (P less then 0.001). According to GAD-7, no significant difference was found between general population and HCWs. Multivariate logistic analysis showed no difference between general population and HCWs in the psychological disorder. Although HCWs suffered from psychological disorders more than general population, nearly one third to half of the participants in both groups had psychosocial disorders.
In the wake of COVID-19, organizations all over India have closed their premises and shifted to work from home policy to curb the further spread of the virus. This has led to increased stress and anxiety among employees, which explicably affects their satisfaction with life. Thus, the present study analyses the effect of COVID-19 induced stressors (role overload, lifestyle choices, family distraction, and occupational discomfort) on employees' distress levels and job performance. Subsequently, the impact of such distress and job performance on the employees' life satisfaction is analyzed during the lockdown period.
Data was collected from 433 working professionals of private and public organizations in the Delhi and NCR region of India during India's third and fourth phase of lockdown via a survey, which was distributed online. Partial least squares structural equation modelling was applied first to establish the validity of this study's model (measurement model validity) and subsequently test the hypothesized relationships in the model (structural model).
The COVID-19 induced stressors, i.e., role overload, lifestyle choices, and occupational discomfort, were significant predictors of distress during the lockdown. It has been found that role overload and change in lifestyle choice did not significantly affect job performance. Family distraction, occupational discomfort, and distress were significant in impacting job performance, with distress being the most significant one. During the COVID-19 pandemic, life satisfaction has reduced due to a significant increase in distress levels and lowered job performances.
The online version contains supplementary material available at 10.1007/s12144-021-01567-0.
The online version contains supplementary material available at 10.1007/s12144-021-01567-0.The Government of India implemented a nationwide lockdown from March 24, 2020 in response to the Coronavirus disease (COVID-19) outbreak. This study examines the effects of two positive psychological resources on the mental health of Indian citizens during the early days of the lockdown. The effects of psychological capital (PsyCap) and internal locus of control on psychological distress of people via affect balance were tested. Data were collected through an online survey from 667 participants. Psychological distress was assessed using the GHQ-12, and affect balance was assessed as the preponderance of positive over negative affect. Results reveal that psychological capital and internal locus of control were negatively associated with psychological distress. BAY-985 IKK inhibitor In addition, affect balance mediated the relationship between psychological capital and psychological distress and the relationship between internal locus of control and psychological distress. Thus, both the psychological resources through affect balance acted as buffers protecting people from mental health deterioration during COVID-19 lockdown. However, the direct and indirect effects of psychological capital on psychological distress is stronger than that of internal locus of control. Implications and directions for future research are discussed.We propose a time-fractional compartmental model (SEI A I S HRD) comprising of the susceptible, exposed, infected (asymptomatic and symptomatic), hospitalized, recovered and dead population for the COVID-19 pandemic. We study the properties and dynamics of the proposed model. The conditions under which the disease-free and endemic equilibrium points are asymptotically stable are discussed. Furthermore, we study the sensitivity of the parameters and use the data from Tennessee state (as a case study) to discuss identifiability of the parameters of the model. The non-negative parameters in the model are obtained by solving inverse problems with empirical data from California, Florida, Georgia, Maryland, Tennessee, Texas, Washington and Wisconsin. The basic reproduction number is seen to be slightly above the critical value of one suggesting that stricter measures such as the use of face-masks, social distancing, contact tracing, and even longer stay-at-home orders need to be enforced in order to mitigate the spread of the virus.
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