caa a22 4500 605497532 CHVBK 20210128100541.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10441-015-9244-1 doi (NATIONALLICENCE)springer-10.1007/s10441-015-9244-1 Optimal Control of a Delayed SIRS Epidemic Model with Vaccination and Treatment [Elektronische Daten] [Hassan Laarabi, Abdelhadi Abta, Khalid Hattaf] This article deals with optimal control applied to vaccination and treatment strategies for an SIRS epidemic model with logistic growth and delay. The delay is incorporated into the model in order to modeled the latent period or incubation period. The existence for the optimal control pair is also proved. Pontryagin's maximum principle with delay is used to characterize these optimal controls. The optimality system is derived and then solved numerically using an algorithm based on the forward and backward difference approximation. Springer Science+Business Media Dordrecht, 2015 SIRS epidemic model nationallicence Incidence rate nationallicence Delay differential equations nationallicence Optimal control nationallicence Vaccination nationallicence Treatment nationallicence Laarabi Hassan Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O Box 7955, Sidi Othman, Casablanca, Morocco aut Abta Abdelhadi Department of Mathematics and Computer Science, Poly-disciplinary Faculty, Cadi Ayyad University, P.O Box 4162, Safi, Morocco aut Hattaf Khalid Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O Box 7955, Sidi Othman, Casablanca, Morocco aut Acta Biotheoretica Springer Netherlands 63/2(2015-06-01), 87-97 0001-5342 63:2<87 2015 63 10441 https://doi.org/10.1007/s10441-015-9244-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10441-015-9244-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Laarabi Hassan Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O Box 7955, Sidi Othman, Casablanca, Morocco aut NATIONALLICENCE 700 1- Abta Abdelhadi Department of Mathematics and Computer Science, Poly-disciplinary Faculty, Cadi Ayyad University, P.O Box 4162, Safi, Morocco aut NATIONALLICENCE 700 1- Hattaf Khalid Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O Box 7955, Sidi Othman, Casablanca, Morocco aut NATIONALLICENCE 773 0- Acta Biotheoretica Springer Netherlands 63/2(2015-06-01), 87-97 0001-5342 63:2<87 2015 63 10441