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math.DS2024★ 4 cited
Exact solution for a discrete-time SIR model
Márcia Lemos-Silva, Sandra Vaz, Delfim F. M. Torres
We propose a nonstandard finite difference scheme for the Susceptible-Infected-Removed (SIR) continuous model. We prove that our discretized system is dynamically consistent with i…
math.OC2024
Stability analysis and optimal control of the logistic equation
Márcia Lemos-Silva, Sandra Vaz, Delfim F. M. Torres
We consider the unexploited/exploited logistic equation and study the stability of equilibrium points through Lyapunov functions. Then, we apply first and second order optimality c…