恐惧效应对带时滞的反应扩散捕食系统的稳定区间的影响
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孙悦,张道祥,周文
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The Influence of Fear Effect on Stability Interval of Reaction-Diffusion Predator-Prey System with Time Delay
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Yue Sun,Daoxiang Zhang,Wen Zhou
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表 1 系统(1.3)的参数: $r = 6, d = 0.2, a = 1, b = 5, q = 2, c = 2.5, m_{1} = 0.4, $ $ m_{2} = 1, d_{1} = 0.01, d_{2} = 0.1. $恐惧效应与Hopf分支和平衡点的关系表
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| 恐惧交应$k_0$ | Hopf分支临界值$\tau_0$ | 平衡点$E_*(u_*, v_*)$ | | 2 | 6.0441 | (1.5819, 0.6418) | | 3 | 1.9491 | (1.2469, 0.5458) | | 6 | 1.2727 | (0.9279, 0.3908) | | 8 | 1.2269 | (0.8453, 0.3354) | | 9.7 | 1.2199 | (0.7997, 0.3015) | | 10 | 1.2201 | (0.7931, 0.2964) | | 10.3 | 1.2205 | (0.7868, 0.2915) | | 11 | 1.2222 | (0.7733, 0.2808) | | 13 | 1.2308 | (0.7416, 0.2548) | | 20 | 1.2732 | (0.6748, 0.1958) | | 30 | 1.3265 | (0.6269, 0.1501) | | 40 | 1.3665 | (0.5997, 0.1229) | | 60 | 1.4222 | (0.5690, 0.0913) | | 80 | 1.4572 | (0.5517, 0.0730) | | 100 | 1.4822 | (0.5405, 0.0610) |
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