通过“生态”阻尼的生物控制：一种减弱非靶标效应的方法
Biological control via "ecological" damping: An approach that attenuates non-target effects
摘要：
在这项工作中，我们开发并分析了一个生物控制的数学模型，以防止或减弱三物种食物链中入侵物种种群的爆炸性增加。我们允许有限的时间爆破模型作为一个数学构造来模拟人口的爆炸性增长，使物种达到“灾难性”的水平，在有限的时间。接下来，我们提出了各种控制措施，以降低入侵种群的增长，并在某些情况下，消除爆破。控制避免了化学处理和/或天敌的引入，从而消除了与这些经典方法相关的各种非靶标效应。我们把这些新的控制措施称为“生态阻尼”，因为它们的加入抑制了入侵物种的种群增长。此外，我们改进了以前的结果的规律性和图灵不稳定性的三种群模型，在早期的工作中得到的。最后，我们证实了时空混沌的存在。
英文摘要：
In this work we develop and analyze a mathematical model of biological control to prevent or attenuate the explosive increase of an invasive species population in a three-species food chain. We allow for finite time blow-up in the model as a mathematical construct to mimic the explosive increase in population, enabling the species to reach "disastrous" levels, in a finite time. We next propose various controls to drive down the invasive population growth and, in certain cases, eliminate blow-up. The controls avoid chemical treatments and/or natural enemy introduction, thus eliminating various non-target effects associated with such classical methods. We refer to these new controls as "ecological damping", as their inclusion dampens the invasive species population growth. Further, we improve prior results on the regularity and Turing instability of the three-species model that were derived in earlier work. Lastly, we confirm the existence of spatio-temporal chaos.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
