论文标题
具有首选迁移率方向的岩纸仪模型
Rock-paper-scissors models with a preferred mobility direction
论文作者
论文摘要
我们使用非晶格随机模拟研究了岩纸剪裁器模型的修改空间随机Lotka-Volterra公式。在该模型中，其中一个物种优先沿特定方向移动 - 偏好水平由[0，1] $中的噪声强度参数$η\（$η= 0 $ and $η= 1 $）在总共偏好和不偏好的情况下进行。我们从随机初始条件开始研究系统的行为，表明具有不对称迁移率的物种始终比其捕食者具有优势。我们还确定噪声强度参数的最佳值，该参数为该物种带来了最大优势。最后，我们发现，在噪声水平增加的情况下，灭绝概率在下面的临界数量下降，因此表明在本文中研究的首选迁移率方向的添加不利于共存。
We investigate a modified spatial stochastic Lotka-Volterra formulation of the rock-paper-scissors model using off-lattice stochastic simulations. In this model one of the species moves preferentially in a specific direction -- the level of preference being controlled by a noise strength parameter $η\in [0, 1]$ ($η= 0$ and $η= 1$ corresponding to total preference and no preference, respectively) -- while the other two species have no referred direction of motion. We study the behaviour of the system starting from random initial conditions, showing that the species with asymmetric mobility has always an advantage over its predator. We also determine the optimal value of the noise strength parameter which gives the maximum advantage to that species. Finally, we find that the critical number of individuals, below which the probability of extinction becomes significant, decreases as the noise level increases, thus showing that the addition of a preferred mobility direction studied in the present paper does not favour coexistence.
