| 一类带Ivlev功能反应的捕食模型的共存态 |
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| 引用本文： | 查淑玲. 一类带Ivlev功能反应的捕食模型的共存态[J]. 科学技术与工程, 2010, 10(26) |
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| 作者姓名： | 查淑玲 |
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| 作者单位： | 渭南师范学院数学与信息科学系,渭南,714000 |
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| 基金项目： | 陕西省教育厅科研项目(10JK604)渭南师范学院基金项目，陕西省重点学科扶持项目资助 |
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| 摘 要： | 讨论了一类带Ivlev功能反应的捕食模型分歧解的存在性及稳定性.运用谱分析和分歧理论的方法,讨论了共存解的结构,给出了正解存在的必要条件.运用线性算子的扰动理论和分歧解的稳定性理论证明了共存解的稳定性.
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| 关 键 词： | 特征值 分歧 稳定性 |
| 收稿时间： | 2010-06-18 |
| 修稿时间： | 2010-06-19 |
Coexistence States of the Predator-prey Model with Ivlev's Functional Response |
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| Zha Shu-ling. Coexistence States of the Predator-prey Model with Ivlev's Functional Response[J]. Science Technology and Engineering, 2010, 10(26) |
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| Authors: | Zha Shu-ling |
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| Affiliation: | ZHA Shu-ling(Department of Mathematics and Information Sciences,Weinan Teacher College,Weinan 714000,P.R.China) |
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| Abstract: | The existence and stability of the positive steady-state solutions to the predator-prey model with Ivlev's functional response are discussed.By applying spectral analysis and methods of bifurcation theory,the structure of the coexistence is discussed. The necessary conditions for the existence of the coexistence solutions are established; the stability for the coexistence solutions are obtained by the perturbation theorem for linear operators and the stability theorem for bifurcation solutions. |
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| Keywords: | eigenvalue bifurcation stability |
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