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| 一类带非单调转化率的捕食-食饵模型的全局分歧 | |
| 引用本文： | 李艳玲,江伟. 一类带非单调转化率的捕食-食饵模型的全局分歧[J]. 纯粹数学与应用数学, 2010, 26(1): 3-11. DOI: 10.3969/j.issn.1008-5513.2010.01.002 |
| 作者姓名： | 李艳玲 江伟 |
| 作者单位： | 陕西师范大学数学与信息科学学院,陕西,西安,710062;陕西师范大学数学与信息科学学院,陕西,西安,710062 |
| 基金项目： | 国家自然科学基金(10971124);;陕西省自然科学基础研究资助项目(2007A11) |
| 摘 要： | 主要研究了一类带非单调转化率的捕食-食饵模型，分别以生长率a和b为分歧参数，运用度理论和分歧理论讨论了这类模型在齐次第一边界条件下全局分歧结构． |
| 关 键 词： | 捕食-食饵模型 全局分歧 不动点指标 |
The global bifurcation of a prey-predator model with non-monotone conversion rate |
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| LI Yan-ling,JIANG Wei. The global bifurcation of a prey-predator model with non-monotone conversion rate[J]. Pure and Applied Mathematics, 2010, 26(1): 3-11. DOI: 10.3969/j.issn.1008-5513.2010.01.002 | |
| Authors: | LI Yan-ling JIANG Wei |
| Affiliation: | College of Mathematics and Information Science;Shaanxi Normal University;Xi'an 710062;China |
| Abstract: | This paper is concerned with a prey-predator model with diffusion and non-monotone conversion rate under the homogeneous Dirichlet boundary conditions.Taking growth rate a,b as its bifurcation parameters, the structure of the global bifurcation are investigated by the degree theory and bifurcation theory. |
| Keywords: | prey-predator model global bifurcation the index of the fixed point |
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