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題名 | Positive Solutions for a Predator-prey Interaction Model with Holling-type Functional Response and Diffusion |
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作者 | 賈雲鋒; 吳建華; 徐洪坤; | 書刊名 | Taiwanese Journal of Mathematics |
卷期 | 15:5 2011.10[民100.10] |
頁次 | 頁2013-2034 |
分類號 | 360.13 |
關鍵詞 | Predator-prey model; Positive solution; Functional response; Bifurcation theory; Fixed point index theory; Stability; Crandall-rabinowitz's bifurcation theorem; |
語文 | 英文(English) |
英文摘要 | We deal with a predator-prey interaction model with Holling-type monotonic functional response and diffusion and which is endowed with a second homogeneous boundary condition. Via spectrum analysis and bifurcation theory, we investigate the local and global bifurcation solutions of the model which emanate from a positive constant solution by taking the growth rate as a bifurcation parameter. Basing on the fixed point index theory, we prove the existence of positive steady-state solutions of the model. |
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