RESUMO
In the present paper, the SIR model with nonlinear recovery and Monod type equation as incidence rates is proposed and analyzed. The expression for basic reproduction number is obtained which plays a main role in the stability of disease-free and endemic equilibria. The nonstandard finite difference (NSFD) scheme is constructed for the model and the denominator function is chosen such that the suggested scheme ensures solutions boundedness. It is shown that the NSFD scheme does not depend on the step size and gives better results in all respects. To prove the local stability of disease-free equilibrium point, the Jacobean method is used;however, Schur–Cohn conditions are applied to discuss the local stability of the endemic equilibrium point for the discrete NSFD scheme. The Enatsu criterion and Lyapunov function are employed to prove the global stability of disease-free and endemic equilibria. Numerical simulations are also presented to discuss the advantages of NSFD scheme as well as to strengthen the theoretical results. Numerical simulations specify that the NSFD scheme preserves the important properties of the continuous model. Consequently, they can produce estimates which are entirely according to the solutions of the model.
RESUMO
SARS-CoV-2, a zoonotic virus, emerged in China causes Coronavirus Disease-2019 (COVID-19). Senior citizens and people with co-infections, genetic diseases, immune-compromised states, and cardiovascular diseases are at higher risk. There is no approved vaccine or drug available to treat COVID-19, although a few antivirals, interferon, and other drugs have reduced viral load in infected patients. However, these drugs have not been significantly effective in European countries. More than 40 different strains of SARS-CoV-2 have been detected in various parts of the world;they might have adapted themselves to the environmental conditions and have become resistant to therapeutic strategies. Many developed and developing countries are facing shortages of surgical masks and other protection tools. So far, the strategies developed by Chinese authorities have efficiently mitigated the SARS-CoV-2 transmission and limited mortality rate to less than 4%, with more than 78,000 people recovered from COVID-19. This review article highlights the pandemic conditions in different parts of the world, as well as possible reasons behind minimal COVID-19 infections and the high mortality rates. It will discuss information about China's strategies to cope with SARS-CoV-2 which can help other countries to mitigate viral spread and infection.
RESUMO
Quantitative real time PCR (RT-PCR) is widely used as the gold standard for clinical detection of SARS-CoV-2. However, due to the low viral load specimens and the limitations of RT-PCR, significant numbers of false negative reports are inevitable, which results in failure to timely diagnose, cut off transmission, and assess discharge criteria. To improve this situation, an optimized droplet digital PCR (ddPCR) was used for detection of SARS-CoV-2, which showed that the limit of detection of ddPCR is significantly lower than that of RT-PCR. We further explored the feasibility of ddPCR to detect SARS-CoV-2 RNA from 77 patients, and compared with RT-PCR in terms of the diagnostic accuracy based on the results of follow-up survey. 26 patients of COVID-19 with negative RT-PCR reports were reported as positive by ddPCR. The sensitivity, specificity, PPV, NPV, negative likelihood ratio (NLR) and accuracy were improved from 40% (95% CI: 27-55%), 100% (95% CI: 54-100%), 100%, 16% (95% CI: 13-19%), 0.6 (95% CI: 0.48-0.75) and 47% (95% CI: 33-60%) for RT-PCR to 94% (95% CI: 83-99%), 100% (95% CI: 48-100%), 100%, 63% (95% CI: 36-83%), 0.06 (95% CI: 0.02-0.18), and 95% (95% CI: 84-99%) for ddPCR, respectively. Moreover, 6/14 (42.9%) convalescents were detected as positive by ddPCR at 5-12 days post discharge. Overall, ddPCR shows superiority for clinical diagnosis of SARS-CoV-2 to reduce the false negative reports, which could be a powerful complement to the RT-PCR.