A mathematical system of COVID-19 disease model: Existence, uniqueness, numerical and sensitivity analysis.

Khadijeh Sadri, Hossein Aminikhah, Mahdi Aminikhah

Abstract readReview

In one paragraph

Review in MethodsX, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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1 · What the graph read from it

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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4 · The record

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5 · Who and what money

Authors and funding

3 authors.

Khadijeh SadriDepartment of Mathematics, Near East University TRNC, Mersin 10, Nicosia, 99138, Turkey.

Hossein AminikhahDepartment of Applied Mathematics and Computer Science, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, 41938, Iran.

Mahdi AminikhahDepartment of Ecology and Genetics, PO Box 3000, FI-90014 University of Oulu, Finland.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

A compartmental mathematical model of spreading COVID-19 disease in Wuhan, China is applied to investigate the pandemic behaviour in Iran. This model is a system of seven ordinary differential equations including individual behavioural reactions, governmental actions, holiday extensions, travel restrictions, hospitalizations, and quarantine. We fit the Chinese model to the Covid-19 outbreak in Iran and estimate the values of parameters by trial-error approach. We use the Adams-Bashforth predictor-corrector method based on Lagrange polynomials to solve the system of ordinary differential equations. To prove the existence and uniqueness of solutions of the model we use Banach fixed point theorem and Picard iterative method. Also, we evaluate the equilibrium points and the stability of the system. With estimating the basic reproduction number

Indexed as

Adams-Bashforth predictor-corrector schemeBasic reproduction numberEquilibrium pointsExistence and uniquenessFinite Difference MethodMathematical modelSensitivityStability

Identifiers

PMID36742367

DOI10.1016/j.mex.2023.102045

PMCPMC9883209

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LicenceCC BY-NC-ND

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.