Optimal Spraying in Biological Control of Pests

2017/01/01 by Cristiana J. Silva, Delfim F. M. Torres, Ezio Venturino · 12 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Agriculture #Agroecosystem #Biological pest control #Biology #Computer science #Control (management) #Ecology #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical optimization #Mathematics #Natural enemies #Optimal control #Pest control #Predation #math.OC #msc:49K05 #msc:92D25 #q-bio.PE

paper · pdf · doi:10.1051/mmnp/201712305

published in Mathematical Modelling of Natural Phenomena 12(3), 51-64 (EDP Sciences) · This is a preprint of a paper whose final and definite form is: Math. Model. Nat. Phenom. 12 (2017), no. 3, 51--64

openalex publication_date 2017/01/01 · arxiv created 2017/05/31 · arxiv updated 2017/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We use optimal control theory with the purpose of finding the best spraying policy with the aim of at least to minimize and possibly to eradicate the number of parasites, i.e., the prey for the spiders living in an agroecosystems. Two different optimal control problems are posed and solved, and their implications discussed.

Citations

• The Oxford Companion to Wine
• Spiders as Biological Control Agents
• A TB-HIV/AIDS coinfection model and optimal control treatment
• Optimal control of a Tuberculosis model with state and control delays