| 具垂直传播的林龄结构病虫害模型平衡态的稳定性 |
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| 引用本文： | 张莹莹,王定江,王恒斌,赵爱娟. 具垂直传播的林龄结构病虫害模型平衡态的稳定性[J]. 生物数学学报, 2012, 0(3): 489-493 |
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| 作者姓名： | 张莹莹 王定江 王恒斌 赵爱娟 |
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| 作者单位： | [1]浙江工业大学理学院,浙江杭州310023 [2]安阳师范学院数学系,河南安阳455000 |
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| 基金项目： | 国家自然科学基金资助项目（60874122,61273016） |
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| 摘 要： | 讨论连续使用杀虫剂和具有垂直传播的林龄结构病虫害模型,对模型的动力学性态进行了分析,得到模型的基本再生数,讨论了模型无病平衡态的稳定性和病虫害平衡态的不稳定性,分析了病虫害的机理参数对病害流行的影响.
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| 关 键 词： | 垂直传播 林龄结构 阅值 平衡态 稳定性 |
Stability of An Age-Structured Forest Insect Pests Model with Vertical Transmission and Continuum Vaccination |
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| ZHANG Ying-ying,WANG Ding-jiang,WANG Heng-bin,ZHAO Ai-juan. Stability of An Age-Structured Forest Insect Pests Model with Vertical Transmission and Continuum Vaccination[J]. Journal of Biomathematics, 2012, 0(3): 489-493 |
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| Authors: | ZHANG Ying-ying WANG Ding-jiang WANG Heng-bin ZHAO Ai-juan |
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| Affiliation: | 1 College of Science,Zhejiang University of Technology,Hangzhou Zhejiang 310023 China) (2 Department of Mathematics,Anyang Normal University,Anyang Henan 455000 China) |
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| Abstract: | This paper discusses an age-structured SIR epidemic model with vertical transmission and continuum,analyses the model＇s dynamics property.Then we get the basic reproductive number- threshold and main research into the stability of endemic equilibrium.Finally, we analyses the influence of parameters to epidemic development. |
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| Keywords: | Vertical transmission Continuum vaccination Age-structured Threshold Equilibrium Stability |
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