论文标题

关于使用无菌昆虫技术消除害虫/媒介的行进波

On the use of Traveling Waves for Pest/Vector elimination using the Sterile Insect Technique

论文作者

Anguelov, Roumen, Dumont, Yves, Djeumen, Ivric Valaire Yatat

论文摘要

可持续媒介/害虫控制方法的发展对于降低载体疾病和农作物损害的风险至关重要。其中,无菌昆虫技术(SIT)是一种非常有前途的技术。在本文中,使用扩散算子,我们将近期论文中开发的时间SIT模型扩展到部分退化的反应扩散SIT模型。为部分退化的反应扩散方程式调整了行驶波解决方案的一些理论结果,我们显示了我们的SIT系统的单稳定和双稳定的旅行波解决方案。我们系统的动力学是由位于阈值的数字驱动的,在该数字之上,SIT控制变得有效,并使用大量版本驱动系统消除系统。当无菌雄性的数量低于阈值时,SIT模型会产生强大的效果,因此可以存在双稳定的行驶波解决方案,并且还可以用于得出有效的长期策略,混合大量和小发行。我们通过数值模拟说明了我们的一些理论结果,还使用大量和小的发行版探索了数值空间定位的SIT控制策略。我们表明,这种“走廊”策略可以有效地阻止入侵,并最终可以用来向量/害虫入侵的前部推动。

The development of sustainable vector/pest control methods is of utmost importance to reduce the risk of vector-borne diseases and pest damages on crops. Among them, the Sterile Insect Technique (SIT) is a very promising one. In this paper, using diffusion operators, we extend a temporal SIT model, developed in a recent paper, into a partially degenerate reaction-diffusion SIT model. Adapting some theoretical results on traveling wave solutions for partially degenerate reaction-diffusion equations, we show the existence of mono-stable and bi-stable traveling-wave solutions for our SIT system. The dynamics of our system is driven by a SIT-threshold number above which the SIT control becomes effective and drives the system to elimination, using massive releases. When the amount of sterile males is lower than the SIT-threshold, the SIT model experiences a strong Allee effect such that a bi-stable traveling wave solution can exist and can also be used to derive an effective long term strategy, mixing massive and small releases. We illustrate some of our theoretical results with numerical simulations , and, also explore numerically spatial-localized SIT control strategies, using massive and small releases. We show that this "corridor" strategy can be efficient to block an invasion and eventually can be used to push back the front of a vector/pest invasion.

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