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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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On Application of Latticed Differential Equations with a Delay for Immunosensor Modeling

Volume 50, Issue 6, 2018, pp. 55-65
DOI: 10.1615/JAutomatInfScien.v50.i6.50
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ABSTRACT

The model of immunosensor, which is based on the system of latticed differential equations with a delay is offered. The conditions of local asymptotic stability of an endemic state are main result. In this paper, the method of Lyapunov functionals and general approach to their construction, predator-prey models, using lattice differential equations, are used. Numerical examples showed an influence of model parameters on stability.

CITED BY
  1. Martsenyuk V., Sverstiuk A., Gvozdetska I. S., Using Differential Equations with Time Delay on a Hexagonal Lattice for Modeling Immunosensors, Cybernetics and Systems Analysis, 55, 4, 2019. Crossref

  2. Sverstiuk A., Numerical simulation of electric signal in the cyber-physical immunosensor system on rectangular lattice in R package, Scientific journal of the Ternopil national technical university, 94, 2, 2019. Crossref

  3. Martsenyuk V., Sverstiuk A., Dzyadevych S. , Identification of parameters and investigation of stability of the mathematical model biosensor for measuring α-chaconine, Scientific journal of the Ternopil national technical university, 96, 4, 2019. Crossref

  4. Sverstiuk A., Comparative analysis of results of numerical simulation of cyber-physical biosensor systems on the basis of lattice differential equations, Scientific journal of the Ternopil national technical university, 95, 3, 2019. Crossref

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