31 citations · 31 across the 3 of their papers we have counts for
4 papers
Optimal control of non-autonomous SEIRS models with vaccination and treatment
Joaquim P. Mateus, Paulo Rebelo, Silvério Rosa +2
We study an optimal control problem for a non-autonomous SEIRS model with incidence given by a general function of the infective, the susceptible and the total population, and with…
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…
Existence of periodic solutions of a periodic SEIRS model with general incidence
César M. Silva, Joaquim P. Mateus
For a family of periodic SEIRS models with general incidence, we prove the existence of at least one endemic periodic orbit when R_0>1. Additionally, we prove the existence of a un…
A non-autonomous SEIRS model with general incidence rate
Joaquim P. Mateus, César M. Silva
For a non-autonomous SEIRS model with general incidence, that admits [T. Kuniya and Y. Nakata, Permanence and extinction for a nonautonomous SEIRS epidemic model, Appl. Math. Compu…