4 citations · 7 across the 3 of their papers we have counts for
4 papers
Exact solution for a quantum SIR model
Márcia Lemos-Silva, Sandra Vaz, Delfim F. M. Torres
Based on the classical continuous system initially proposed by Bailey in 1975, we present a novel Susceptible--Infected--Removed (SIR) model defined in quantum time, where the temp…
A consistent SIR model on time scales with exact solution
Márcia Lemos-Silva, Sandra Vaz, Delfim F. M. Torres
We propose a new dynamic SIR model that, in contrast with the available model on time scales, is biological relevant. For the new SIR model we obtain an explicit solution, we prove…
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…
A consistent discrete version of a non-autonomous SIRVS model
Joaquim Mateus, César Silva, Sandra Vaz
A family of discrete non-autonomous SIRVS models with general incidence is obtained from a continuous family of models by applying Mickens non-standard discretization method. Condi…