Biological control of sugarcane caterpillar (Diatraea saccharalis) using interval mathematical models
Geraldo Nunes Silva, Weldon Alexander Lodwick · 2016
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 error measurements or even incorporate lack of information. In these cases, intervals may be feasible for indicating the lack of information or even measurement errors. Therefore, we consider interval mathematical models to represent the biological control problem. Specifically, in the present paper, we illustrate the solution of a discrete-time interval optimal control problem for a practical application in biological control. To solve the problem, we use single-level constrained interval arithmetic [9] and the dynamic programming technique [3] along with the idea proposed in [23] for the solution of the interval problem. Keywords-Interval optimal control problem; interval mathematical models; single-level constrained interval arithmetic; dynamic programming; biological control.