In this paper, we propose a new conjugate gradient method where the generated search direction satisfies the sufficient descent condition. Also, the calculation of the new conjugate gradient parameter incorporates the use of the conjugacy condition. Global convergence is established under the strong Wolfe line search and numerical experiments demonstrate the effectiveness and...
In this study, we investigate the nonlinear potential Korteweg–de Vries equation (pKdVe) by making use of the Lie group analysis. We start by constructing Lie symmetries and thereafter utilize them to execute symmetry reductions of pKdVe. We then obtain solutions of the pKdVe by using the direct integration method. The obtained solutions are demonstrated in respect of Jacobi...
In this article, we introduce generalized beta extension of Sz $$\acute{a}$$ sz-integral type operators and study their approximation properties. First, we calculate the some estimates for these operators. Further, we study the uniform convergence and order of approximation in terms of Korovkin-type theorem and modulus of continuity for the space of univariate continuous...
It is clear that the engineering properties of various rocks in dry and wet conditions are different. In general, the properties decrease with the presence of water. The present research investigates the effect of rock saturation on the strength and deformation properties of serpentinites collected from central Greece. A comprehensive laboratory test program was planned to...
In the present paper, a mathematical model using the non-linear differential equations depicting the impact of Covid-19 on unemployment is discussed. The stability of the system is studied and model is reformulated as an optimal control problem. To assess the impact of unemployment on human population, two time-dependent controls are used. Providing education and training of job...
In recent times, the emergence of novel Coronavirus and the successive mutations in the viral genome has posed a major threat to public health with strikingly high mortality and morbidity rates across the globe. To address the health concern, the current scenario demands the need for effective therapeutics and at present, the anti-viral drug Remdesivir has been used worldwide to...
The hazardous compound di-2-ethylhexyl phthalate (DEHP) is widely used as polyvinyl chloride plasticizer. The present research studied the fungal biodegradation of DEHP contained in blood and urine bags. Soil-plate method was used for fungal isolation from heavily plastic polluted soil using Martin’s and Sabouraud’s agar media, where DEHP was the sole carbon source. Isolated...
A brain tumor occurs when abnormal cells form within the brain. Glioblastoma (GB) is an aggressive and fast-growing type of brain tumor that invades brain tissue or spinal cord. GB evolves from astrocytic glial cells in the central nervous system. GB can occur at almost any age, but the occurrence increases with advancing age in older adults. Its symptoms may include nausea...
The pandemic of severe acute respiratory syndrome 2 (SARS-CoV-2) revealed the necessity of diagnosis of the infected people to prevent the prevalence infection cycle. Many commercial pathogen diagnosis methods are based on the detection of genomic materials. Isothermal amplification methods such as loop-mediated-isothermal amplification (LAMP) are the method of choice in these...
In recent years, antibiotic resistance to the most effective treatments has emerged and spread. This has led to a decline in the efficacy of antibiotics used to treat patients, with drug-resistant strain experiencing much higher failure rates and serious side effects. In this study, we considered two-strains (e.g., drug-susceptible and drug-resistant) susceptible-infected...
Since December 2019, severe acute respiratory syndrome coronavirus-2 (SARS-CoV-2) has caused a global pandemic named coronavirus disease-19 (COVID-19) and resulted in a worldwide economic crisis. Utilizing the spike-like protein on its surface, the SARS-CoV-2 binds to the receptor angiotensin-converting enzyme 2 (ACE2), which highly expresses on the surface of many cell types...
We introduce a SEIRD compartmental model to analyze the dynamics of the pandemic in Bangladesh. The multi-wave patterns of the new infective in Bangladesh from the day of the official confirmation to August 15, 2021, are simulated in the proposed SEIRD model. To solve the model equations numerically, we use the RK-45 method. Primarily, we establish some theorems including local...
This paper introduces a flexible discrete transmuted record type discrete Burr–Hatke (TRT-DBH) model that seems suitable for handling over-dispersion and equi-dispersion in count data analysis. Further to the elegant properties of the TRT-DBH, we propose, in the time series context, a first-order integer-valued autoregressive process with TRT-DBH distributed innovations [TRBH...
SARS-CoV-2 is a newly emerged coronavirus that has been widely transmitted since late 2019. It has caused a pandemic and infected roughly 450 million people globally.Hitherto, there is no approved anti-COVID-19 treatment, and vaccination is the only experienced preventive strategy. It mainly promotes the immune system, which is vital as a barrier against COVID-19. Humoral...
The continuing coronavirus pandemic has come up with considerable questions in front of the world. Presently, India is among concerned countries in Asia. Even though the recovery rate is more than the death rate, it is affecting human lives and experiencing losses to the market. Several methods were employed to study the spread of novel coronavirus. Mathematical modeling is one...
Stability analysis of impulsive nonlinear fractional-order system (FOS) is discussed. First, the existence and uniqueness of solutions for FOS is discussed with help of fixed point theory. The nonlinear system is considered with a constant time delay and impulsive effects. Then, novel sufficient conditions to prove the Mittag–Leffler stability (MLS) of FOS are established by...
In this paper, we have studied a fractional-order eco-epidemiological model incorporating fear, treatment, and hunting cooperation effects to explore the memory effect in the ecological system through Caputo-type fractional-order derivative. We have studied the behavior of different equilibrium points with the memory effect. The proposed system undergoes through Hopf bifurcation...
We use wavelets to define the Kantorovich variant of q-Baskakov type operators, and for $$1\le p< \infty$$ , we study the $$L_{p}$$ -approximation. Let $$\xi$$ be any positive constant and $$\Psi _{k}(x)$$ be any continuous derivative function such that $$\int _{\mathbb {R}}x^{s}\Psi _{k}(x)\mathrm {d}_{q}x=0$$ where $$0\le s \le k,\;k\in \mathbb {N}$$ , $$0<1$$ $$.$$ For all...
Although several drugs have been proposed and used to treat the COVID-19 virus, but recent clinical trials have concentrated on ivermectin. It appears that ivermectin can potentially act against COVID-19 and stop the development in its infancy. The purpose of this study was to determine the effect of ivermectin on the recovery of outpatients with COVID-19. In this cross-sectional...
The treatment of COVID-19 disease has been one of the most critical essential concerns of researchers in recent years. One of the most exciting and potential therapeutic targets for SARS-CoV-2 therapy progression is RNA-dependent RNA polymerase (RdRP), a viral enzyme for viral RNA replication throughout host cells. According to some research, Remdesivir suppresses RdRp. The...
COVID-19 patients in critical conditions are hospitalized and treated with various protocols including antiviral drugs, which have been updated repeatedly. This study was aimed to analyze the demographics, costs, and outcomes of drug regimens in COVID-19 patients hospitalized in “Ali Asghar” hospital, affiliated with Shiraz University of Medical Sciences, from March 2019 to...