| 带有干扰和非线性指标的脉冲时滞SI模型的渐近性质(英文) |
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| 引用本文： | 王烈,陈斯养,石茂. 带有干扰和非线性指标的脉冲时滞SI模型的渐近性质(英文)[J]. 生物数学学报, 2010, 0(3): 385-400 |
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| 作者姓名： | 王烈 陈斯养 石茂 |
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| 作者单位： | 西北工业大学理学院;陕西师范大学数学与信息科学学院; |
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| 基金项目： | Foundation item:Supported by the NSF of China(No.60671063,10871 122) |
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| 摘 要： | 研究了一个带有干扰和非线性指标的脉冲时滞SI模型,通过引入三个引理,获得该疾病最终灭绝和保持持久的充分性条件。结果表明,时滞因素对该模型的全局吸引性和持久性都有影响。此外。如果脉冲免疫接种率的最大值和最小值之比大于某一阈值,则该疾病最终灭绝,本文的主要特点是将多时滞和变系数引入脉冲SI模型,数值模拟表明,该系统具有复杂的动力学行为,包括周期解和周期振荡.
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| 关 键 词： | SI模型 时滞 脉冲 持久 全局吸引性 |
The Asymptotic Property of an Impulsive Delay SI Model with Disturbance and a Nonlinear Incidence |
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| WANG Lie CHEN Si-yang SHI Mao. The Asymptotic Property of an Impulsive Delay SI Model with Disturbance and a Nonlinear Incidence[J]. Journal of Biomathematics, 2010, 0(3): 385-400 |
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| Authors: | WANG Lie CHEN Si-yang SHI Mao |
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| Affiliation: | WANG Lie~1 CHEN Si-yang~2 SHI Mao~1 (1 College of Science,Northwestern Polytechnic University,Xi'an Shanxi 710072 china) (2 College of mathematic and information Science,Shaanxi normal University,Xi'an Shanxi 710062 china) |
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| Abstract: | An impulsive delayed SI model with disturbance and a nonlinear incidence 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 maximum to minimum of the pulse vaccination rate is lager than some value.The main feature of this paper is tha... |
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| Keywords: | SI model Time delay Impulse Permanence Global attractivity |
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