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Advisor(s)
Abstract(s)
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.
Description
Keywords
SICA model Compartmental models Stability analysis Schur-Cohn criterion Lyapunov functions Discretization by Mickens method