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先锋-顶级种群反应扩散模型的平衡点线性稳定性

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Abstract:

研究扩散的先锋-顶级种群竞争模型的平衡态线性稳定性.所讨论的系统有4至6个平衡点,其中最多可以有2个正平衡点,其动力学性态十分丰富.文章对系统可能的各个常数平衡点的线性稳定性进行分析并给出每个平衡点稳定的充分条件或充分必要条件,主要的方法是线性化方法和特征根分析技巧,最后举例说明本文结论的应用并进行了数值模拟和讨论.

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