A dynamically-consistent nonstandard finite difference scheme for the SICA model
arXiv:2105.10826 · doi:10.3934/mbe.2021231
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.
arXiv commentThis is a preprint of a paper whose final and definite form is published Open Access in 'Mathematical Biosciences and Engineering' (ISSN 1551-0018), available at [https://doi.org/10.3934/mbe.2021231]. Submitted 23/March/2021; Revised 05/May/2021; Accepted 20/May/2021; Published 26/May/2021
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- Model-free based control of a HIV/AIDS prevention model
- Discrete-Time System of an Intracellular Delayed HIV Model with CTL Immune Response
- A consistent SIR model on time scales with exact solution
- Near-optimal control of a stochastic SICA model with imprecise parameters