Optimal Control of a Delayed SIRS Epidemic Model with Vaccination and Treatment
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605497532 | ||
| 003 | CHVBK | ||
| 005 | 20210128100541.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150601xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10441-015-9244-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10441-015-9244-1 | ||
| 245 | 0 | 0 | |a Optimal Control of a Delayed SIRS Epidemic Model with Vaccination and Treatment |h [Elektronische Daten] |c [Hassan Laarabi, Abdelhadi Abta, Khalid Hattaf] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2015 | ||
| 690 | 7 | |a SIRS epidemic model |2 nationallicence | |
| 690 | 7 | |a Incidence rate |2 nationallicence | |
| 690 | 7 | |a Delay differential equations |2 nationallicence | |
| 690 | 7 | |a Optimal control |2 nationallicence | |
| 690 | 7 | |a Vaccination |2 nationallicence | |
| 690 | 7 | |a Treatment |2 nationallicence | |
| 700 | 1 | |a Laarabi |D Hassan |u Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O Box 7955, Sidi Othman, Casablanca, Morocco |4 aut | |
| 700 | 1 | |a Abta |D Abdelhadi |u Department of Mathematics and Computer Science, Poly-disciplinary Faculty, Cadi Ayyad University, P.O Box 4162, Safi, Morocco |4 aut | |
| 700 | 1 | |a Hattaf |D Khalid |u Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O Box 7955, Sidi Othman, Casablanca, Morocco |4 aut | |
| 773 | 0 | |t Acta Biotheoretica |d Springer Netherlands |g 63/2(2015-06-01), 87-97 |x 0001-5342 |q 63:2<87 |1 2015 |2 63 |o 10441 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10441-015-9244-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10441-015-9244-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Laarabi |D Hassan |u Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O Box 7955, Sidi Othman, Casablanca, Morocco |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Abta |D Abdelhadi |u Department of Mathematics and Computer Science, Poly-disciplinary Faculty, Cadi Ayyad University, P.O Box 4162, Safi, Morocco |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hattaf |D Khalid |u Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O Box 7955, Sidi Othman, Casablanca, Morocco |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Biotheoretica |d Springer Netherlands |g 63/2(2015-06-01), 87-97 |x 0001-5342 |q 63:2<87 |1 2015 |2 63 |o 10441 | ||