The global stability and pattern formations of a predator-prey system with consuming resource
The global stability and pattern formations of a predator-prey system with consuming resource
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DOI：
10.1016/j.aml.2016.01.020
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发表时间：
2016-08
期刊：
影响因子：
--
通讯作者：
Liting Fang;Jinfeng Wang
中科院分区：
文献类型：
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作者：
Liting Fang;Jinfeng Wang
研究了一类具有共同消耗资源的捕食-食饵系统。利用李雅普诺夫函数证明了动力学系统和扩散系统的全局稳定性。非常数正稳态解的存在性，以确定的交叉扩散系统的空间图案形成的参数范围。
The paper deals with a model that describes a predator–prey system with a common consuming resource. We use Lyapunov functions to prove the global stability of the kinetic system and the diffusive system. The existence of non-constant positive steady state solutions is shown to identify the range of parameters of spatial pattern formation for the cross-diffusion system.