Autor(es): Vaz, Sandra ; Torres, Delfim F. M.
Data: 2021
Identificador Persistente: http://hdl.handle.net/10773/31433
Origem: RIA - Repositório Institucional da Universidade de Aveiro
Assunto(s): SICA model; Compartmental models; Stability analysis; Schur-Cohn criterion; Lyapunov functions; Discretization by Mickens method
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.
