A predator-prey model characterizing negative effect of prey on its predator
A predator-prey model characterizing negative effect of prey on its predator
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DOI：
10.1016/j.amc.2013.04.012
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发表时间：
2013-06
期刊：
影响因子：
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通讯作者：
Yuanshi Wang;Hong Wu;Shikun Wang
中科院分区：
文献类型：
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作者：
Yuanshi Wang;Hong Wu;Shikun Wang
考虑两种捕食者捕食猎物和猎物对捕食者产生有害影响的捕食者-猎物系统。我们的目的是表明，猎物的负面影响可能导致捕食者的减少和/或灭绝，并表明减少/灭绝是如何以及何时发生的。具体系统是通过在捕食者方程中引入负相互作用项对Rosenzweig-MacArthur模型的简单扩展。通过相图分析和数值模拟，我们证明了系统中的相互作用结果可能在捕食、供养、竞争、中立和共生之间转换。首先，改变物种种群的初始密度可以导致过渡。此外，还发现了初始密度的临界区域，在此区域，密度的微小波动会导致结果的转变和捕食者的灭绝。其次，改变一个或多个参数（因素）也可能导致转变。此外，还显示了特定的参数区域，在该区域，参数的微小变化导致捕食者的减少和/或灭绝。
Predator–prey systems of two species are considered, in which the predator consumes the prey and the prey has a harmful effect on the predator. Our aim is to show that the negative effect of the prey may lead to reduction and/or extinction of its predator, and to show that how and when the reduction/extinction happens. The specific system is a simple extension of the Rosenzweig–MacArthur model by introducing a negative interaction term in the predator equation. By phase-portrait analysis and numerical simulations, we demonstrate that interaction outcomes in the system may transition among predation, amensalism, competition, neutralism and commensalism. First, varying initial densities of species population alone can lead to the transition. In addition, critical regions of the initial densities are exhibited, in which small fluctuation of the densities results in both transition of outcomes and extinction of the predator. Second, varying one or more parameters (factors) may also lead to the transition. Moreover, specific regions of parameters are exhibited, in which small variation of the parameters leads to reduction and/or extinction of the predator.