Deng Bo
Department of Math and Statistics, University of Nebraska, Lincoln, Nebraska 68588-0323, USA.
Chaos. 2006 Dec;16(4):043125. doi: 10.1063/1.2405711.
The intraspecific interference of a top-predator is incorporated into a classical mathematical model for three-trophic food chains. All chaos types known to the classical model are shown to exist for this comprehensive model. It is further demonstrated that if the top-predator reproduces at high efficiency, then all chaotic dynamics will change to a stable coexisting equilibrium, a novel property not found in the classical model. This finding gives a mechanistic explanation to the question of why food chain chaos is rare in the field. It also suggests that high reproductive efficiency of top-predators tends to stabilize food chains.
顶级捕食者的种内干扰被纳入到一个用于三营养级食物链的经典数学模型中。结果表明，这个综合模型中存在经典模型已知的所有混沌类型。进一步证明，如果顶级捕食者以高效率繁殖，那么所有混沌动态将转变为稳定的共存平衡，这是经典模型中未发现的一个新特性。这一发现为野外食物链混沌现象为何罕见的问题提供了一个机理解释。它还表明，顶级捕食者的高繁殖效率倾向于使食物链稳定。
