论文标题
与毒性趋化性的空间捕食者模型中的轻驱动相互作用
Light driven interactions in spatial predator-prey model with toxicant chemotaxis
论文作者
论文摘要
我们开发和分析了光驱动生态毒理过程的空间时间模型，该模型是由藻类的水生捕食者系统和\ textsl {daphnia}的促进的。人口动态是由光驱动的，光线在时间上是周期性的，并且随空间深度而变化。显示了空间和时间依赖性周期解的存在和唯一性，并显示了参数约束下解决方案的分析功能。我们就初始条件的扰动进行了溶液的图灵稳定性分析。给定对周期均衡状态的扰动，我们表明，只要运动能力足够快，并且/或储层深度足够浅。分析结果假设一些差异的边界条件与周期均衡状态相匹配，但是具有更松弛边界条件的数值模拟捕获了相似的周期性解决方案。这项工作阐明了由周期力（例如光水平）驱动的空间依赖人群动力学。
We develop and analyze a spatial temporal model of light driven ecotoxicological processes, motivated by an aquatic predator-prey system of algae and \textsl{Daphnia} subject to a contaminant. Population dynamics are driven by light, which is periodic in time and varies with spatial depth. The existence and uniqueness of spatial and temporal dependent periodic solutions are shown and analytical functions of the solutions under parameter constraints are presented. We conduct Turing stability analyses of solutions with respect to perturbations of initial conditions. Given a perturbation to a periodic equilibrium state, we show the system will return to this equilibrium state as long as motility is fast enough and/or the reservoir depth is shallow enough. Analytical results assume some Dirichlet boundary conditions that match the periodic equilibrium state, however numerical simulations with more relaxed boundary conditions capture similar periodic solutions. The work sheds light onto spatially dependent population dynamics that are driven by periodic forces, such as light levels.
