甘蔗螟虫的宿主-寄生蜂动态与生物防治
Host-Parasitoid Dynamics and Biological Control of the Sugarcane Borer
AI总结：
研究通过两种寄生蜂联合作用控制甘蔗螟虫，用六维模型描述种群动态，分析平衡结构与稳定性。针对害虫超经济损害阈值问题，制定并比较三种生物控制方法，数值模拟显示三种策略均有效，脉冲策略最具田间实施可行性。
AI中文摘要：
我们通过两种寄生蜂物种（卵寄生蜂Trichogramma galloi和幼虫寄生蜂Cotesia flavipes）的联合作用，研究甘蔗螟虫Diatraea saccharalis的生物害虫控制策略。我们用一个六维宿主-寄生蜂模型描述种群动态，该模型通过Holling II型功能反应表示宿主-寄生蜂相互作用，扩展了先前模型。我们刻画了模型的平衡结构并分析了灭绝平衡的局部稳定性。分岔分析表明，在广泛的Holling参数范围内，害虫种群超过经济损害阈值，促使设计主动控制策略。我们制定并比较了三种生物控制方法：开环最优控制、状态依赖 Riccati 方程（SDRE）反馈控制和基于 Lyapunov 论证的脉冲反馈控制。数值模拟表明，这三种策略都成功地将害虫种群控制在经济损害阈值以下。特别是脉冲策略，用比连续方法少得多的寄生蜂释放量就能有效抑制害虫，使其成为田间实施最可行的选择。
英文摘要：
We investigate biological pest control strategies for the sugarcane borer Diatraea saccharalis through the combined action of two parasitoid species: the egg parasitoid Trichogramma galloi and the larval parasitoid Cotesia flavipes. We describe the population dynamics with a six-dimensional host-parasitoid model in which host-parasitoid interactions are represented through a Holling Type II functional response, extending previous models by coupling egg and larval stage dynamics and incorporating parasitism saturation observed in laboratory experiments. We characterize the equilibrium structure of the model and analyze the local stability of the extinction equilibrium. Bifurcation analysis reveals that, for a wide range of Holling parameters, the pest population exceeds the economic damage threshold, motivating the design of active control strategies. We formulate and compare three biological control approaches: open-loop optimal control, State-Dependent Riccati Equation (SDRE) feedback control, and impulsive feedback control based on Lyapunov arguments. We perform numerical simulations to show that all three strategies successfully keep the pest population below the economic damage threshold. The impulsive strategy, in particular, achieves effective suppression with substantially fewer parasitoid releases than the continuous approaches, making it the most practically viable option for field implementation.
