论文标题
在双曲 - 寄生虫寄生虫寄生虫系统上：良好的姿势和控制
On a Hyperbolic-Parabolic Parasitoid-Parasite System: Well Posedness and Control
论文作者
论文摘要
我们开发一个依赖时间和空间的捕食者捕集模型。捕食者的方程是一种非局部双曲线平衡定律，而猎物的扩散服从抛物线方程，因此捕食者“狩猎”为猎物，而猎物弥漫。一个控制术语允许将捕食者用作寄生虫的使用来限制猎物 - 寄生虫的生长。在这里获得的一般良好姿势和稳定性结果确保了通过一些数值整合讨论的最佳害虫控制策略的存在。我们想到的具体例子是果蝇果蝇果蝇的果蝇果蝇果蝇的传播的例子。
We develop a time and space dependent predator-prey model. The predators' equation is a non local hyperbolic balance law, while the diffusion of prey obeys a parabolic equation, so that predators "hunt" for prey, while prey diffuse. A control term allows to describe the use of predators as parasitoids to limit the growth of prey-parasites. The general well posedness and stability results here obtained ensure the existence of optimal pest control strategies, as discussed through some numerical integrations. The specific example we have in mind is that of Trichopria drosophilae used to fight against the spreading of Drosophila suzukii.
