Analysis of an SIR Epidemic Model with Pulse Vaccination and Distributed Time Delay
نویسندگان
چکیده
منابع مشابه
Analysis of an SIR Epidemic Model with Pulse Vaccination and Distributed Time Delay
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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Since the investigation of impulsive delay differential equations are inchoate, the literature on delay epidemic models with pulse vaccination is not extensive. In this paper, we propose a delay SIR epidemic model with impulsive effect and analyze the global dynamics behaviors of the model. Using the discrete dynamical system determined by the stroboscopic map, we show that there exists an ’inf...
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SIR epidemic models with distributed delay are proposed. Firstly, the dynamical behaviors of the model without vaccination are studied. Using the Jacobian matrix, the stability of the equilibrium points of the system without vaccination is analyzed. The basic reproduction number R is got. In order to study the important role of vaccination to prevent diseases, the model with distributed delay u...
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In this paper, we formulate a robust SEIR epidemic disease model with a profitless delay and nonlinear incidence, and analyze the dynamics behaviors of the model under pulse vaccination. By use of the discrete dynamical system determined by the stroboscopic map, we obtain an ’infection-free’ periodic solution, further, show that the ’infection-free’ periodic solution is globally attractive when...
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ژورنال
عنوان ژورنال: Journal of Biomedicine and Biotechnology
سال: 2007
ISSN: 1110-7243,1110-7251
DOI: 10.1155/2007/64870