In this article we propose a stochastic model to discuss the dynamics of novel corona virus disease. We formulate the model to study the long run behavior in varying population environment. For this purposes we divided the total human population into three epidemiological compartments: the susceptible, covid-19 infected, recovered and recovered along with one class of reservoir. The existence and uniqueness of the newly formulated model will be studied to show the well-possedness of the model. Moreover, we investigate the extinction analysis as well as the persistence analysis to find the disease extinction and disease persistence conditions. At the end we perform simulation to justify the investigation of analytical work with the help of graphical representations.

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BackgroundThe goal of our study was to determine the impact of gastrointestinal bleeding (GIB) on in-hospital outcomes among acute respiratory distress syndrome (ARDS) patients, and subsequently determine the potential risk factors for the development of GIB.MethodsARDS patients with and without GIB were identified using the National Inpatient Sample (2002 - 2012). Linear regression analysis was used to assess impact of GIB on in-hospital mortality, length of stay and total charges. Univariate logistic regression was used to determine associated odds ratios (OR) for causes of ARDS and common comorbid conditions.ResultsWe identified 149,190 ARDS patients. The incidence of GIB was the highest among patients > 60 years (P < 0.001). GIB was associated with longer hospitalization days (7.3 days versus 11.9 days, P < 0.001), higher mortality (11% versus 27%, P < 0.001) and greater economic burden ($82,812 versus $45,951, P < 0.001). GIB was common in cirrhosis (OR: 8.3), peptic ulcer disease (OR: 3.7), coagulopathy disorders (OR: 3.003), thrombocytopenia (OR: 2.6), anemia (OR: 2.5) and atrial fibrillation (OR: 1.5). ARDS secondary to aspiration pneumonia (OR: 2.0), pancreatitis (OR: 2.0), sepsis (OR: 1.6) and community acquired pneumonia (OR: 0.8) was more likely to have GIB.ConclusionOur study demonstrates that GIB in ARDS patients is associated with significant increased mortality, hospitalization and health care cost.

Large cell carcinoma (LCC) of the lung has a rapid mean volume doubling time (VDT) of around 67-134 days. In some cases of LCC where the VDT is extremely rapid, clinical presentation may mimic acute lung pathologies such as pneumonia. We describe a rare presentation of an aggressive LCC of the lung with an estimated VDT of around two weeks. A 52-year-old male with a history schizophrenia presented with fever, cough, and dyspnea for three weeks duration. His medical history was significant for a recent admission six weeks before current presentation for myocardial infarction (MI) and pneumonia. Chest radiograph during the current admission showed a new right lung infiltrate and he was treated for healthcare-associated pneumonia. However, the patient developed acute respiratory failure due to right lung collapse requiring intubation and mechanical ventilation. An urgent bronchoscopy revealed an obstructing endobronchial mass in right mainstem bronchus. A computed tomography (CT) scan of the chest showed encasement of right upper and lower lobe bronchus with extensive mediastinal lymphadenopathy. The patient expired within the next 24 hours. The autopsy showed undifferentiated LCC of lung metastatic to the regional lymph nodes. Of note is the fact that the patient had CT chest in his prior admission which showed no signs of lung or mediastinal mass. We report a case of LCC which manifested as pneumonia over a six-week period with a calculated doubling time of 14.1 days. Oxidative stress secondary to recent MI and schizophrenia may have a role in the unusual aggressiveness in this case.

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