Flip bifurcations of an SIR epidemic model with birth pulse and pulse vaccination
نویسندگان
چکیده
منابع مشابه
Pulse vaccination strategy in the SIR epidemic model.
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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Pulse vaccination, the repeated application of vaccine over a defined age range, is gaining prominence as an effective strategy for the elimination of infectious diseases. An SIR epidemic model with pulse vaccination and distributed time delay is proposed in this paper. Using the discrete dynamical system determined by the stroboscopic map, we obtain the exact infection-free periodic solution o...
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An SIR epidemic model with pulse birth and standard incidence is presented. The dynamics of the epidemic model is analyzed. The basic reproductive number R∗ is defined. It is proved that the infection-free periodic solution is global asymptotically stable if R∗ < 1. The infection-free periodic solution is unstable and the disease is uniform persistent if R∗ > 1. Our theoretical results are conf...
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A delayed SEIRS epidemic model with pulse vaccination and nonlinear incidence rate is proposed. We analyze the dynamical behaviors of this model and point out that there exists an infectionfree periodic solution which is globally attractive if R1 < 1, R2 > 1, and the disease is permanent. Our results indicate that a short period of pulse or a large pulse vaccination rate is the sufficient condi...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2017
ISSN: 0307-904X
DOI: 10.1016/j.apm.2016.11.019