| 关于捕食者种群具有阶段结构和疾病的捕食-被捕食模型(英文) |
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| 引用本文： | 李爽,王小攀.关于捕食者种群具有阶段结构和疾病的捕食-被捕食模型(英文)[J].数学杂志,2010,30(3). |
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| 作者姓名： | 李爽 王小攀 |
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| 作者单位： | 1. 新乡学院数学系,河南,新乡,453000
2. 河南师范大学新联学院,河南,新乡,453007 |
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| 摘 要： | 本文研究了捕食者种群具有阶段结构和疾病的捕食-被捕食模型.利用比较定理、分析特征方程和迭代的技巧,得到了模型永久持续生存和模型的非负平衡位置稳定的充分性条件.通过对结果的分析我们可以给出疾病的基本再生数,这对疾病的防治有很大的意义.
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| 关 键 词： | 阶段结构 时滞 稳定性 永久持续生存 |
A PREDATOR-PREY MODEL WITH STAGE-STRUCTURE AND DISEASE IN THE PREDATOR POPULATION |
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| LI Shuang,WANG Xiao-pan.A PREDATOR-PREY MODEL WITH STAGE-STRUCTURE AND DISEASE IN THE PREDATOR POPULATION[J].Journal of Mathematics,2010,30(3). |
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| Authors: | LI Shuang WANG Xiao-pan |
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| Institution: | LI Shuang~1,WANG Xiao-pan~2 (1.Dept.of Math.,Xinxiang University,Xinxiang 453000,China) (2.College of Xinlian,Henan Normal University,Xinxiang 453007,China) |
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| Abstract: | A predator-prey model with stage structure and disease in the predator population is investigated.By comparison theorem,analyzing characteristic equations and using an iterative technique,sufficient conditions for permanence of the model and the stability of the non-negative equilibria of the model are derived.We can give the basic reproductive number of the disease by analyzing our results,which is biologically meaningful in the treatment of disease. |
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| Keywords: | stage structure time delay stability permanence |
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