THE EFFECT OF DIRECTED MOVEMENT ON THE STRONG ALLEE EFFECT
THE EFFECT OF DIRECTED MOVEMENT ON THE STRONG ALLEE EFFECT
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DOI：
10.1137/20m1330178
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发表时间：
2021-01-01
影响因子：
1.9
通讯作者：
Rodriguez, Nancy
中科院分区：
文献类型：
--
作者：
Cosner, Chris;Rodriguez, Nancy
众所周知，生态学和经济学中的运动策略可以在灭绝和持续之间产生差异。我们提出了一个统一的生态人口和街头小贩，这是许多非正规经济的重要组成部分的动态模型。我们分析了这个模型，以研究受强Allee效应影响的人口定向流动的影响。我们开始研究齐次Dirichlet或无通量边界条件下平衡解的存在性。其次，我们研究了发展问题，证明了当定向运动效应很小时，解的行为类似于具有非线性增长模式的经典反应扩散方程的解。我们提出了数值模拟，这表明定向运动可以帮助克服一个强大的Allee效应，并在这个方向上提供了一些部分的分析结果。最后，我们通过与理想自由分布的连接来得出结论，并分析了竞争下会发生什么，发现理想自由分布策略是局部邻域入侵者。
It is well known that movement strategies in ecology and in economics can make the difference between extinction and persistence. We present a unifying model for the dynamics of ecological populations and street vendors, which are an important part of many informal economies. We analyze this model to study the effects of directed movement of populations subject to strong Allee effect. We begin with the study of the existence of equilibrium solutions subject to homogeneous Dirichlet or no-flux boundary conditions. Next, we study the evolution problem and show that if the directed movement effect is small, the solutions behave like those of the classical reaction-diffusion equation with bistable growth pattern. We present numerical simulations, which show that directed movement can help overcome a strong Allee effect and provide some partial analytical results in this direction. We conclude by making a connection to the ideal free distribution and analyze what happens under competition, finding that an ideal free distribution strategy is a local neighborhood invader.