About: Application of the criterion of Li-Wang to a five dimensional epidemic model of COVID-19. Part I

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An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Application of the criterion of Li-Wang to a five dimensional epidemic model of COVID-19. Part I
Creator	Jayswal, Ekta Shah, Nita Suthar, Ankush
Source	ArXiv
abstract	The dynamics of many epidemic models for infectious diseases that spread in a single host population demonstrate a threshold phenomenon. If the basic reproduction number R0 is below unity, the disease-free equilibrium P0 is globally stable in the feasible region and the disease always dies out. If R0>1, a unique endemic equilibrium P? is globally asymptotically stable in the interior of the feasible region and the disease will persist at the endemic equilibrium if it is initially present. In this paper (Part I), we reinvestigate the study of the stability or the non stability of a mathematical Covid-19 model constructed by Nita H. Shah, Ankush H. Suthar and Ekta N. Jayswal. We use a criterion of Li-Wang for stability of matrices [Li-Wang] on the second additive compound matrix associated to their model. In second paper (Part II), In order to control the Covid-19 system, i.e., force the trajectories to go to the equilibria we will add some control parameters with uncertain parameters to stabilize the five-dimensional Covid-19 system studied in this paper. Based on compound matrices theory, we apply in [Intissar] again the criterion of Li-Wang to study the stability of equilibrium points of Covid-19 system with uncertain parameters. In this part II, all sophisticated technical calculations including those in part I are given in appendices.
has issue date	2020-07-12(xsd:dateTime)
has license	arxiv
sha1sum (hex)	e3364322f359adbe53ed9268ce21d872349ebcd6
resource representing a document's title	Application of the criterion of Li-Wang to a five dimensional epidemic model of COVID-19. Part I
resource representing a document's body	covid:e3364322f359adbe53ed9268ce21d872349ebcd6#body_text
is schema:about of	named entity 'MODELS' named entity 'INFECTIOUS DISEASES' named entity 'THRESHOLD' named entity 'epidemic model' named entity 'Liao' named entity 'eigenvalues' named entity 'characteristic polynomial' named entity 'asymptotically stable' named entity 'A H' named entity 'iff' named entity 'complex matrix' named entity 'asymptotically stable' named entity 'conjugate transpose' named entity 'Covid-19' named entity 'initial condition' named entity 'sufficient conditions' named entity 'equilibrium point' named entity 'eigenvalues' named entity 'endemic equilibrium' named entity 'M-matrix' named entity 'p-norm' named entity 'M-matrices' named entity 'J p' named entity 'Covid-19' named entity 'positive matrix' named entity 'main diagonal' named entity 'Hartman-Grobman' named entity 'Jacobian matrix' named entity 'M-matrices' named entity 'non-negative' named entity 'equilibrium point' named entity 'det' named entity 'compound matrix' named entity 'compound matrix' named entity 'iff' named entity 'polynomial' named entity 'compound matrix' named entity 'equilibrium point' named entity 'logarithmic norm' named entity 'real matrix' named entity 'positive integer' named entity 'vector' named entity 'nonsingular' named entity 'Hurwitz problem' named entity 'lexicographic ordering' named entity 'Positive Definite Matrix' named entity 'vector' named entity '1.6' named entity 'Beretta' named entity 'homeomorphism' named entity 'evolution' named entity 'endemic equilibrium' named entity 'linear space' named entity 'covid-19' named entity 'eigenvalues' named entity 'M-matrices' named entity 'steady state' named entity 'numerical integration of ordinary differential equations' named entity 'equilibrium point' named entity 'determinant' named entity 'asymptotically stable' named entity 'death rate' named entity 'equilibrium point' named entity 'Jacobian matrix' named entity 'Banach spaces' named entity 'eigenvalues' named entity 'M-matrix' named entity 'compound matrix' named entity 'basic reproductive ratio' named entity 'ordinary differential equations' named entity 'real number' named entity 'real matrix' named entity 'Covid-19' named entity 'subset' named entity 'steady state' named entity 'compartmental models' named entity 'equilibrium point' named entity 'ordinary differential equations' named entity 'eigenvalues' named entity 'abscissa' named entity '3.8' named entity 'n-dimensional' named entity 'eigenvalues' named entity 'Z-matrix' named entity 'Hartman-Grobman theorem'

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