Biological control of caterpillar sugarcane (Diatraea saccharalis) considering interval mathematical models

Biomath. 2016;5(1) DOI 10.11145/j.biomath.2016.04.232


Journal Homepage

Journal Title: Biomath

ISSN: 1314-684X (Print); 1314-7218 (Online)

Publisher: Biomath Forum

Society/Institution: Biomath Forum

LCC Subject Category: Science: Biology (General) | Science: Mathematics

Country of publisher: Bulgaria

Language of fulltext: English

Full-text formats available: PDF



José Renato Campos (Federal Institute of Education, Science and Technology of São Paulo)

Edvaldo Assuncao

Geraldo Nunes Silva

Weldon Lodwick


Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 20 weeks


Abstract | Full Text

Biological control is a sustainable agricultural practice that was introduced to improve crop yields and has been highlighted among the various pest control techniques. However, real mathematical models that describe biological control models can have errors measurements or even are built with lack of information. In these cases, intervals may be feasible to show the lack of information or even measurement errors. So we consider interval mathematical models to represent the biological control problem. Specifically, in the present paper we illustrated the solution of discrete time interval optimal control problem for a practical application of biological control. To solve the problem, we used the single level constrained interval arithmetic [8] and the dynamic programming technique [2], along with the idea proposed in [22] for the solution of interval problem.