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具垂直传播的林龄结构病虫害模型平衡态的稳定性
Stability of An Age-Structured Forest Insect Pests Model with Vertical Transmission and Continuum Vaccination
【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.
【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.
【关键词】 垂直传播;
林龄结构;
阅值;
平衡态;
稳定性;
【Key words】 Vertical transmission; Continuum vaccination; Age-structured; Threshold; Equilibrium; Stability;
【Key words】 Vertical transmission; Continuum vaccination; Age-structured; Threshold; Equilibrium; Stability;
【基金】 国家自然科学基金资助项目(60874122,61273016)
- 【文献出处】 生物数学学报 ,Journal of Biomathematics , 编辑部邮箱 ,2012年03期
- 【分类号】S763
- 【被引频次】5
- 【下载频次】66