As a raw material for ethanol, the production of sugarcane in Brazil is a very important and profitable agribusiness sector. In the last decades, with the prohibition of burning cane fields and the expansion of plantations, there has been a significant increase in the population of pests, the most important of which is a sugarcane borer (Diatraea saccharalis). It affects the stalks of plants, causing losses and decreasing the industrial yield in the sugar and alcohol production process. Thus, the purpose of this work is to study an interaction between the sugarcane borer and its larval parasite (Cotesia flavipes). The interaction between these populations is modeled by a host-parasitoid system, for which the study is done considering an influence of seasonal variation on the dynamics of the system. It has been shown that this variation generates chaotic dynamics in the system. In order to keep the pest population below economic damage, a biological control strategy has been proposed, which consists of introducing into the environment the amount of pest parasitoids determined by the State Dependent Riccati Equation (SDRE) method.

作为乙醇的原料，巴西的甘蔗生产是一个非常重要且有利可图的农业综合企业。在过去的几十年中，由于禁止焚烧甘蔗田和扩大种植园，害虫的数量显着增加，其中最重要的是甘蔗r（Diatraea saccharalis）。它影响植物的茎秆，在糖和酒精生产过程中造成损失并降低工业产量。因此，这项工作的目的是研究甘蔗蛀虫与其幼虫寄生虫之间的相互作用（Cotesia flavipes）。这些种群之间的相互作用是通过宿主-拟寄生物系统建模的，为此，研究考虑了季节性变化对系统动力学的影响。已经表明，这种变化在系统中产生混沌动力学。为了使有害生物种群不受经济损害的影响，已提出了一种生物控制策略，该策略包括将通过状态相关Riccati方程（SDRE）方法确定的有害生物寄生虫数量引入环境。