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Evaluation of COVID‐19 pandemic spreading using computational analysis on nonlinear SITR model

S. E. Ghasemi, Sina Gouran

2022Mathematical Methods in the Applied Sciences18 citationsDOIOpen Access PDF

Abstract

The main purpose of present paper is to investigate the nonlinear model of COVID-19 (novel coronavirus) computationally. The SITR model is designed according to four classifications of Susceptible (S), Infectious (I), Treatment (T) and Recovered (R). Two convenient and effective numerical techniques namely the Adams-Bashforth Method (ABM) and Milne-Simpson Method (MSM) are employed to analyze the epidemic model. The influences of the contact rate parameter (β), recovery parameter (μ) and death parameter (α) on the variables including S, I and R are studied comprehensively. The obtained findings indicate that by increasing the contact rate parameter the infectious and recovered categories enhance but the susceptible mechanism decreases.

Topics & Concepts

Coronavirus disease 2019 (COVID-19)Nonlinear systemPandemicEpidemic modelMathematicsApplied mathematicsSevere acute respiratory syndrome coronavirus 2 (SARS-CoV-2)2019-20 coronavirus outbreakCoronavirusVirologyInfectious disease (medical specialty)MedicinePhysicsOutbreakEnvironmental healthPathologyQuantum mechanicsPopulationDiseaseCOVID-19 epidemiological studiesMathematical and Theoretical Epidemiology and Ecology ModelsFractional Differential Equations Solutions