activity
20062024
most citedOptimal control for a tuberculosis model with reinfection and post-exposure interventions

137 citations · 1.6k across the 45 of their papers we have counts for

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Showing 2017Show all

8 papers · 1 filter

q-bio.PE2017★ 50 cited

Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil

Faical Ndairou, Ivan Area, Juan J. Nieto +2

We propose a new mathematical model for the spread of Zika virus. Special attention is paid to the transmission of microcephaly. Numerical simulations show the accuracy of the mode…

math.OC2017★ 23 cited

Optimal control of a delayed HIV model

Filipe Rodrigues, Cristiana J. Silva, Delfim F. M. Torres +1

We propose a model for the human immunodeficiency virus type 1 (HIV-1) infection with intracellular delay and prove the local asymptotical stability of the equilibrium points. Then…

math.OC2017★ 12 cited

Optimal Spraying in Biological Control of Pests

Cristiana J. Silva, Delfim F. M. Torres, Ezio Venturino

We use optimal control theory with the purpose of finding the best spraying policy with the aim of at least to minimize and possibly to eradicate the number of parasites, i.e., the…

q-bio.PE2017★ 21 cited

Global Stability for a HIV/AIDS Model

Cristiana J. Silva, Delfim F. M. Torres

We investigate global stability properties of a HIV/AIDS population model with constant recruitment rate, mass action incidence, and variable population size. Existence and uniquen…

math.OC2017★ 19 cited

Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem

Roman Denysiuk, Cristiana J. Silva, Delfim F. M. Torres

We consider a recent coinfection model for Tuberculosis (TB), Human Immunodeficiency Virus (HIV) infection and Acquired Immunodeficiency Syndrome (AIDS) proposed in [Discrete Conti…

math.OC2017★ 57 cited

Ebola Model and Optimal Control with Vaccination Constraints

Ivan Area, Faical Ndairou, Juan J. Nieto +2

The Ebola virus disease is a severe viral haemorrhagic fever syndrome caused by Ebola virus. This disease is transmitted by direct contact with the body fluids of an infected perso…