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Journal of Automation and Information Sciences

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ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

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Approach to the Study of Global Asymptotic Stability of Lattice Differential Equations with Delay for Modeling of Immunosensors

Volumen 51, Ausgabe 2, 2019, pp. 58-71
DOI: 10.1615/JAutomatInfScien.v51.i2.70
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ABSTRAKT

Consideration is given to the model of immunosensor based on a system of lattice differential equations with delay. The main result of the work is the conditions for the global asymptotic stability of the endemic state. For this purpose we have used Lyapunov functionals method which combines a general approach to constructing Lyapunov functionals for predator-prey models using lattice differential equations. Calculation of basic reproduction numbers is based on the next generation matrix method. The time delay estimate which provides the global asymptotic stability is presented.

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REFERENZIERT VON
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