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A dynamically-consistent nonstandard finite difference scheme for the SICA model - MaRDI portal

A dynamically-consistent nonstandard finite difference scheme for the SICA model

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Publication:6368316

DOI10.3934/MBE.2021231arXiv2105.10826MaRDI QIDQ6368316

Author name not available (Why is that?), Delfim F. M. Torres

Publication date: 22 May 2021

Abstract: In this work, we derive a nonstandard finite difference scheme for the SICA (Susceptible-Infected-Chronic-AIDS) model and analyze the dynamical properties of the discretized system. We prove that the discretized model is dynamically consistent with the continuous, maintaining the essential properties of the standard SICA model, namely, the positivity and boundedness of the solutions, equilibrium points, and their local and global stability.












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