Theoretical and numerical analysis of novel COVID-19 via fractional order mathematical model.

In the work, author's presents a very significant and important issues related to the health of mankind's. Which is extremely important to realize the complex dynamic of inflected disease. With the help of Caputo fractional derivative, We capture the epidemiological system for the transmission of Novel Coronavirus-19 Infectious Disease (nCOVID-19). We constructed the model in four compartments susceptible, exposed, infected and recovered. We obtained the conditions for existence and Ulam's type stability for proposed system by using the tools of non-linear analysis. The author's thoroughly discussed the local and global asymptotical stabilities of underling model upon the disease free, endemic equilibrium and reproductive number. We used the techniques of Laplace Adomian decomposition method for the approximate solution of consider system. Furthermore, author's interpret the dynamics of proposed system graphically via Mathematica, from which we observed that disease can be either controlled to a large extent or eliminate, if transmission rate is reduced and increase the rate of treatment.

Validity of nalidixic acid screening in fluoroquinolone-resistant typhoid salmonellae.

OBJECTIVE: To validate the screening of low-level fluoroquinolone resistance in typhoid salmonellae by using nalidixic acid (30 mg) disk providing an acceptable zone of inhibition. DESIGN: Quasi-experimental study. PLACE AND DURATION OF STUDY: The Department of Microbiology, Armed Forces Institute of Pathology, Rawalpindi, Pakistan from July 2002 to June 2003. MATERIALS AND METHODS: Antimicrobial susceptibility of 225 clinical isolates of S. typhi (n=126) and S. paratyphi A (n=99) against nalidixic acid and ciprofloxacin was determined by the modified Kirby-Bauer disk diffusion and agar dilution techniques of NCCLS. The relationship between the zone sizes and the MICs of the two quinolones was plotted in the form of scattergrams and nalidixic acid MICs and zone of inhibition sizes were correlated with those of ciprofloxacin by regression analysis. RESULTS: One hundred and ninety-five isolates were nalidixic acid-susceptible (MIC <16 microg/mL) and approximately 30 were nalidixic acid-resistant (MIC >32 microg/mL). All the nalidixic acid-susceptible isolates had ciprofloxacin MIC of <0.064 microg/mL. Among the nalidixic acid-resistant isolates approximately 20 had ciprofloxacin MIC > or =0.125 microg/mL and approximately 10 had ciprofloxacin MIC < or =0.03-0.064 microg/mL. The diameter of inhibition zone around a 30 mg nalidixic acid disk of nalidixic acid-resistant isolates was < or =13 mm (range 6-16 mm, mean 10.3 mm + SD 3.5 mm), while among nalidixic acid-susceptible isolates it ranged from 14 to 30 mm (mean 23.8 mm + SD 2.2 mm). The diameter of inhibition zone around a 5mg ciprofloxacin disk of nalidixic acid-resistant isolates ranged from 26 to 35 mm (mean 29.8 mm + SD 3.1 mm), while in nalidixic acid-susceptible isolates it ranged from 32 to 42 mm (mean 36.6 mm + SD 1.9 mm). With ciprofloxacin MIC > or =0.125 microg/mL taken as a breakpoint, a zone of