Optimal Control of a Delayed SIRS Epidemic Model with Vaccination and Treatment

被引：56
|
作者：
Laarabi, Hassan [1 ]
Abta, Abdelhadi [2 ]
Hattaf, Khalid [1 ,3 ]
机构：
[1] Hassan II Univ, Dept Math & Comp Sci, Fac Sci Ben Msik, Casablanca, Morocco
[2] Cadi Ayyad Univ, Polydisciplinary Fac, Dept Math & Comp Sci, Safi, Morocco
[3] CRMEF, Casablanca, Morocco
来源：
ACTA BIOTHEORETICA | 2015年 / 63卷 / 02期
关键词：
SIRS epidemic model; Incidence rate; Delay differential equations; Optimal control; Vaccination; Treatment; DISEASE;
D O I：
10.1007/s10441-015-9244-1
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
引用
收藏
页码：87 / 97
页数：11
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