New Procedures of a Fractional Order Model of Novel Coronavirus (COVID-19) Outbreak via Wavelets Method

Abstract

Coronaviruses are a group of RNA (ribonucleic acid) viruses with the capacity for rapid mutation and recombination. Coronaviruses are known to cause respiratory or intestinal infections in humans and animals. In this paper, a biologically compatible set of nonlinear fractional differential equations governing the outbreak of the novel coronavirus is suggested based on a model previously proposed in the literature. Then, this set is numerically solved utilizing two new methods employing sine–cosine and Bernoulli wavelets and their operational matrices. Moreover, the convergence of the solution is experimentally studied. Furthermore, the accuracy of the solution is proved via comparing the results with those obtained in previous research for the primary model. Furthermore, the computational costs are compared by measuring the CPU running time. Finally, the effects of the fractional orders on the outbreak of the COVID-19 are investigated.

Stability analysis for a tripled system of fractional pantograph differential equations with nonlocal conditions

“…This object is used in a wide range of engineering and science domains, including electromagnetics, viscoelasticity, fluid mechanics, electrochemistry, qualitative theory, stability theory, optimization, etc. Kilbas et al (2006); Rekhviashvili et al (2019); Miller and Ross (1993); Lakshmikantham et al (2009); Hedayati et al (2021); Noeiaghdam et al (2021a,b). Moreover, it has been used to simulate physical, technical processes are best characterized by fractional differential equations (see Ahmad and Nieto (2009); Abdeljawad and Samei (2021); Brunt et al (2018); Hammad et al (2021) and references therein).…”

Tobacco smoking model containing snuffing class

“…In last few decades, fractional calculus has been a popular field of study. Fractional calculus has recently been discovered to be valuable in a variety of domains, including quantitative biology, electrochemistry, scatting theory and many other fields [15] , [20] , [25] , [26] , [27] . It is also been dubbed the future model for groundwater research [1] , [2] , [46] .…”

Multi-Model Selection and Analysis for COVID-19

“…Based on the compartment hypothesis of the population, most models include compartments of susceptible (S), exposed (E), infected (I), recovered (R), death (D), quarantined (Q), asymptomatic (A), insusceptible (P), and hospitalized (H) individuals, such as SIR [8], SEIR [9], SEIR-Q [10], SEIR-QD [11], and SEIR-AHQ [12] models. In addition, many sophisticated models also have been proposed [13][14][15][16].…”