A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation

Advances in Difference Equations

Santiago Alonso-Quesada¹  Manuel De la Sen¹  Asier Ibeas²  Ral Nistal³ 

[1] Department of Electricity and Electronics, Faculty of Science and Technology, University of the Basque Country, UPV/EHU, Leioa, Spain;Department of Telecommunications and Systems Engineering, Universitat Autònoma de Barcelona, Bellaterra, Spain

关键词: SIRS epidemic models;    vaccination;    nonlinear control;    stability;    positivity;   

DOI  :  10.1186/1687-1847-2013-364

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by a SIRS (susceptible plus infected plus recovered populations) epidemic model. The model takes into account that the recovered individuals lose the disease immunity after a finite time period. A control technique based on a model linearization approach is used to design the vaccination strategy in order to eradicate the infection from the population. Moreover, the controlled system is guaranteed to be positive and stable under such a vaccination control strategy. A simulation example illustrates the theoretical results relative to the stability and positivity of the controlled system while guaranteeing the eradication of the epidemics. MSC:93C10, 93C15, 93C95, 34D20, 34H15.

【 授权许可】

CC BY