Optimal Vaccination, Treatment, and Preventive Campaigns in Regard to the SIR Epidemic Model
نویسندگان
چکیده
منابع مشابه
Optimal vaccination and treatment in the SIR epidemic model
ABSTRACT Mathematical epidemiological models for the dynamics of infections that induce lifelong immunity have been extensively developed. In this work, we consider a nonlinear SIR model given by a nonlinear system describing the dynamics of the interaction between susceptible and infective individuals in population. We analyze the dynamical behavior of the nonlinear system and then use two typ...
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Theoretical results show that the measles 'pulse' vaccination strategy can be distinguished from the conventional strategies in leading to disease eradication at relatively low values of vaccination. Using the SIR epidemic model we showed that under a planned pulse vaccination regime the system converges to a stable solution with the number of infectious individuals equal to zero. We showed tha...
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In this paper, we studied and formulated the relapsed SIR model of a constant size population with standard incidence rate. Also, the optimal control problem with treatment and vaccination as controls, subject to the model is formulated. The analysis carried out on the model, clearly showed that the infection free steady state is globally asymptotically stable if the bas...
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This paper focuses on the study of a nonlinear mathematical SIR epidemic model with a vaccination program. We have discussed the existence and the stability of both the disease free and endemic equilibrium. Vaccine induced reproduction number is determined and the impact of vaccination in reducing the vaccine induced reproduction number is discussed. Then to achieve control of the disease, a co...
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ژورنال
عنوان ژورنال: Mathematical Modelling of Natural Phenomena
سال: 2014
ISSN: 0973-5348,1760-6101
DOI: 10.1051/mmnp/20149407