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On the nonlocal discretization of the simplified Anderson-May model of viral infection

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dc.abstract.enWe present five nonstandard finite difference methods designed for numerical simulation of the simplified Anderson-May model of viral infection. The proposed methods, based solely on the principle of nonlocal discretization, are able to preserve all of the essential qualitative features of the original model: the non-negativity of the solution and local stability of the equilibrium points, along with their stability conditions. One of the proposed methods preserves the types of the equilibrium points (i.e. the presence and absence of oscillations) as well. All of these results are independent of the chosen step-size of simulation.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorKorpusik, Adam
dc.contributor.authorBodnar, Marek
dc.date.accessioned2024-01-25T15:46:39Z
dc.date.available2024-01-25T15:46:39Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.number1
dc.description.volume46
dc.identifier.doi10.14708/MA.V46I1.6395
dc.identifier.issn1730-2668
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114837
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofMathematica Applicanda
dc.relation.pages109-116
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleOn the nonlocal discretization of the simplified Anderson-May model of viral infection
dc.typeJournalArticle
dspace.entity.typePublication