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


  • José Renato Campos Federal Institute of Education, Science and Technology of São Paulo
  • Edvaldo Assuncao
  • Geraldo Nunes Silva
  • Weldon Lodwick



Interval optimal control problem, interval mathematical models, single level constrained interval arithmetic, dynamic programming, biological control.


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.

Author Biography

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

I am teacher of the Federal Institute of Education, Science and Technology of SГЈo Paulo and work in the departament of Sciences, teaching in the courses of Civil Engineering and Analysis and Development of Systems. I am also doctoral student at UNESP - Univ Estadual Paulista.






Original Articles