| 一类带有反应扩散项和非单调功能反应函数的食饵-捕食系统的Turing不稳定性 |
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| 引用本文： | 邵瑞锋,张存华,邵帅锋.一类带有反应扩散项和非单调功能反应函数的食饵-捕食系统的Turing不稳定性[J].宁夏大学学报(自然科学版),2014(1):14-18. |
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| 作者姓名： | 邵瑞锋 张存华 邵帅锋 |
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| 作者单位： | [1] 兰州交通大学数理与软件工程学院 甘肃兰州 730070 [2] 兰州大学数学与统计学院,甘肃兰州730070 |
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| 基金项目： | 甘肃省自然科学基金资助项目（1212RJZA065）;兰州交通大学“青蓝”工程资助项目（QL-05-20A） |
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| 摘 要： | 研究了带有反应扩散项和非单调功能反应函数的食饵-捕食系统,分析了系统的局部稳定性,并且推导出了系统空间齐次和非齐次常数平衡解Turing不稳定的精确的参数范围.应用数值模拟进一步说明了理论推导的正确性.
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| 关 键 词： | 反应扩散 非单调功能反应函数 Turing不稳定性 食饵-捕食系统 |
Turing Instability in A Diffusive Prey-predator with Non-monotonic Functional Response |
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| Shao Rui-feng,Zhang Cunhua,Shao Shuai-feng.Turing Instability in A Diffusive Prey-predator with Non-monotonic Functional Response[J].Journal of Ningxia University(Natural Science Edition),2014(1):14-18. |
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| Authors: | Shao Rui-feng Zhang Cunhua Shao Shuai-feng |
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| Institution: | 1. School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China; 2. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730070, China) |
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| Abstract: | The prey-predator system with reaction-diffusion and non-monotonic reaction function is studied. The spatial stability of the system is analyzed, and the exact scope of parameters is put forward so that the spatial homogeneous equilibrium solution and the spatial homogeneous solution would become Turing unstable. In addition, the accuracy of the theoretical derivation is further proved by numerical simulations. |
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| Keywords: | reaction-diffusion non-monotonic functional Turing instability prey-predator system |
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