An optimal control problem for mosaic disease via Caputo fractional derivative

Abstract

In this research article, we derive an optimal control problem for the mosaic disease model by using the Caputo fractional derivatives. The natural microbial biostimulants (MBs) are very useful to improve the plant performance and protect plants from mosaic infection. In the proposed model, we apply two extra optimal controls; spraying and roguing to investigate their roles in the control of mosaic spread. We perform a number of experimental results by using the algorithm of forward–backward sweep method at various fractional order values. The main goal of this article is to explore the role of spraying and roguing in the aforementioned availability of MBs. From our study, we notice that in the presence of MBs, only roguing is the effective control which can be used to stop the spread of mosaic.

Keywords

• 26A33
• 34C60
• 92C60
• 92D30