Controlling crop pest with a farming awareness based integrated approach and optimal control
arXiv:2109.08534 · doi:10.1002/cmm4.1194
Abstract
We investigate a mathematical model in crop pest controlling, considering plant biomass, pest, and the effect of farming awareness. The pest population is divided into two compartments: susceptible pests and infected pests. We assume that the growth rate of self-aware people is proportional to the density of susceptible pests existing in the crop arena. Impacts of awareness are modeled through the usual mass action term and a saturated term. It is further assumed that self-aware people will adopt chemical and biological control methods, namely integrated pest management. Bio-pesticides are costly and require a long-term process, expensive to impose. However, if chemical pesticides are introduced in the farming system along with bio-pesticides, the process will be faster as well as cost-effective. Also, farming knowledge is equally important. In this article, a mathematical model is derived for controlling crop pests through an awareness-based integrated approach. In order to reduce the negative effects of pesticides, we apply optimal control theory.
This is a preprint of a paper whose final and definite form is published in 'Computational and Mathematical Methods' [https://onlinelibrary.wiley.com/journal/25777408]. Submitted 26-Jul-2021; Accepted for publication in Computational and Mathematical Methods 17-Sep-2021. arXiv admin note: text overlap with arXiv:2106.08192