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.

翻译：在这项工作中,我们为中美洲一体化体系(SICA)模型(可感知-感染-慢性-艾滋病)制定了一个非标准限值差异计划,并分析了离散系统的动态特性。 我们证明,离散模式与标准中美洲一体化体系模型的连续性、维护其基本特性(即解决方案的主观性和界限性、平衡点及其地方和全球稳定)保持动态一致。