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Is diffusion-induced chaos robust?

机译:扩散引起的混乱是否有力?

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We examine the robustness of diffusion-induced chaos in spatial predator-prey systems with a view to ascertain likelihood of its occurrence in natural systems. Our study of two models with spatial gradient in the prey growth rate and random (diffusive) movements of both species suggests that the chaotic behaviour generated through this mechanism is robust and therefore may be observed in natural systems. Another useful result that has emerged out of our simulation studies is that migratory behaviour of predators suppresses chaos, but cannot eliminate it. We suggest that chaos should be looked for in places where these necessary ingredients, viz. spatial gradient, diffusive movement of species and oscillatory predator-prey dynamics, are present.
机译:我们研究了在空间捕食者-猎物系统中扩散诱发的混沌的鲁棒性,以确定其在自然系统中发生的可能性。我们对两个模型的捕食物生长速度和两个物种的随机(扩散)运动具有空间梯度的研究表明,通过这种机制产生的混沌行为是可靠的,因此可以在自然系统中观察到。从我们的模拟研究中得出的另一个有用的结果是,掠食者的迁徙行为抑制了混乱,但不能消除混乱。我们建议应该在这些必需成分存在的地方寻找混乱。存在空间梯度,物种的扩散运动和具​​振荡性的捕食者-猎物动力学。

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