摘要
考虑食饵有强弱之分的Leslie-Gower捕食者-食饵扩散模型(LGM)的稳定性与不稳定性.首先,通过线性化方法和构造Lyapunov函数证明仅带线性自扩散模型(LGM)的正平衡点的局部以及全局渐近稳定性;然后,给出交错扩散导致Turing不稳定的一个充分条件.
The stability and instability of a diffusive Leslie‐Gower predator‐prey model(LGM ) with weak and strong prey are discussed . Firstly , the local and global asymptotical stability of the positive uniform steady states of the model (LGM ) only with linear self‐diffusion are proved by linearization and constructing a Lyapunov function . T hen a sufficient condition of the T uring instability induced by cross‐diffusion is given .
出处
《西北师范大学学报(自然科学版)》
CAS
北大核心
2015年第1期1-5,共5页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(11361055)