非自治捕食-被捕食相互作用下害虫最优控制模型

IF 2.6 4区数学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY

Mathematical Modelling of Natural Phenomena Pub Date : 2022-07-26 DOI:10.1051/mmnp/2022033

Paulo Jorge dos Santos Pinto Rebelo, Silvério Simões Rosa, César Augusto Simões Teixeira Marques da Silva

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引用次数: 0

摘要

考虑了一个由害虫及其天敌捕食者所理解的生态系统。系统的参数是时间相关的，以便伴随着与气候演变相关的变化。结合杀虫剂的使用和向捕食者提供额外的食物，我们建议通过将这两种措施作为控制措施的最佳控制来根除害虫。确定所产生的问题具有唯一的解决方案。唯一性是使用递归参数在整个区间上获得的。数值模拟结果支持了该模型在处理害虫种群方面的有用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Modelling optimal pest control of non-autonomous predator-prey interaction

An ecological system comprehended by a pest and its natural enemy, the predator, is considered. Parameters of system are time dependent in order to accompany their variations associated to climate evolutions. Combining the use of pesticides and of extra supply of food to predators, we propose the eradication of pest through optimal control having those two measures as controls. Is established that the resulting problem has a unique solution. Uniqueness is obtained on the whole interval using a recursive argument. The usefulness of model to tackle the pest population is backed by numerical simulation results.

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来源期刊

Mathematical Modelling of Natural Phenomena MATHEMATICAL & COMPUTATIONAL BIOLOGY-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

5.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues. Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.