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Qualitative analysis on a diffusive prey-predator model with ratio-dependent functional response 被引量:3
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作者 PENG Rui WANG MingXin 《Science China Mathematics》 SCIE 2008年第11期2043-2058,共16页
In this paper, we investigate a prey-predator model with diffusion and ratio-dependent functional response subject to the homogeneous Neumann boundary condition. Our main focuses are on the global behavior of the reac... In this paper, we investigate a prey-predator model with diffusion and ratio-dependent functional response subject to the homogeneous Neumann boundary condition. Our main focuses are on the global behavior of the reaction-diffusion system and its corresponding steady-state problem. We first apply various Lyapunov functions to discuss the global stability of the unique positive constant steady-state. Then, for the steady-state system, we establish some a priori upper and lower estimates for positive steady-states, and derive several results for non-existence of positive non-constant steady-states if the diffusion rates are large or small. 展开更多
关键词 a prey-predator model diffusion RATIO-DEPENDENT STEADY-STATE global stability NON-EXISTENCE 35J55 37B25 92D25
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具有HollingⅢ类功能反应且周期系数的非自治捕食扩散系统的周期解和概周期解
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作者 汪灵枝 姚晓洁 《河池学院学报》 2006年第2期2-6,共5页
主要研究一类具有扩散系统和HollingⅢ类功能反应的非自治捕食系统,得到了系统一致持久生存和周期系统存在唯一全局渐近稳定的周期解和概周期解的条件。
关键词 捕食扩散系 HollingⅢ类功能反应 一致持久性 周期解 全局渐近稳定性
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