| 一类带Beddington-DeAngelis反应项的捕食模型平衡态的分歧解 |
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| 引用本文： | 冯孝周,吴建华.一类带Beddington-DeAngelis反应项的捕食模型平衡态的分歧解[J].工程数学学报,2008,25(4). |
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| 作者姓名： | 冯孝周 吴建华 |
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| 作者单位： | 1. 陕西帅范大学数学与信息科学学院,西安,710062;西安工业大学数理系,西安,710032
2. 陕西帅范大学数学与信息科学学院,西安,710062 |
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| 基金项目： | 国家自然科学基金
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国家自然科学基金 |
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| 摘 要： | 本文利用极值原理,L-S度理论,特征值扰动理论及分歧理论,主要研究了一类带Beddington-DeAngelis反应项的捕食模型在Dirichlet边界条件下的平衡态局部分歧解与全局分歧解,给出了局部分歧解存在的充分条件和稳定性,并且得到其平衡态全局分歧解及其走向。
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| 关 键 词： | 平衡态 L-S度 分歧 |
Bifurcation Solutions of Steady-state of the Prey-predator Model with Beddington-DeAngelis Response |
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| FENG Xiao-zhou,WU Jian-hua.Bifurcation Solutions of Steady-state of the Prey-predator Model with Beddington-DeAngelis Response[J].Chinese Journal of Engineering Mathematics,2008,25(4). |
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| Authors: | FENG Xiao-zhou WU Jian-hua |
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| Abstract: | In this paper,by utilizing the maximum principle,the L-S degree theory,the eigenvalue perturbation principle and the bifurcation theory,the local bifurcation and its stability,the global bifurcation and its jumps of global bifurcation solutions of steady-states in prey-predator model with Beddington-DeAngelis response and Dirichlet boundary conditions are studied.Furthermore,the suf-ficient conditions for existence of bifurcating solutions of the prey-predator model and its jumps are established. |
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| Keywords: | steady-state Leray-Schauder degree bifurcation |
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