The Asymptotic Property of an Impulsive Delay SI Model with Disturbance and a Nonlinear Incidence
- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 3
- DOI:
- No doi available
- Key Word:
- SI模型;时滞;脉冲;持久;全局吸引性;SI model;Time delay;Impulse;Permanence;Global attractivity
Abstract： An impulsive delayed SI model with disturbance and a nonlinear in-cidence was formulated and analyzed. By introducing three thresholds, the sufficient conditions for eradication and permanence of the disease are obtained. Furthermore the global attractive of the infection-free periodic solution and permanence of the model are both influenced by time delay, the disease will disappear if the ratio of the inaximum to minimum of the pulse vaccination rate is lager than some value. The main feature of this paper is that multi-delays and variable coefficients are introduced into the SI model. Numerical results show that the system has complex dynamics including the infection-free periodic solution and periodic oscillations.
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