arXiv subjects

Silvério Rosa

Publications and source records attributed to Silvério Rosa.

2 recordsLinked to original sources

arXiv2018

Optimal control of non-autonomous SEIRS models with vaccination and treatment

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 vaccination and treatment as control variables. We prove existence and uniqueness results for our problem and, for the case of mass-action incidence, we present some simulation results designed to compare an autonomous and corresponding periodic model, as well as the controlled versus uncontrolled models.

math.OC↗

arXiv2015

A mathematical model for the customer dynamics based on marketing policy

We consider a compartmental model to study the evolution of the number of regular customers and referral customers in some corporation. Transitions between compartments are modeled by parameters depending on the social network and the marketing policy of the corporation. We obtain some results on the asymptotic number of regular customers and referral customers in several particular scenarios. Additionally we present some simulation that illustrates the behavior of the model and discuss its applicability.

math.DS↗