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Title: Controlling crop pest with a farming awareness based integrated approach and optimal control
Author: Abraha, Teklebirhan
Al Basir, Fahad
Obsu, Legesse Lemecha
Torres, Delfim F. M.
Keywords: Hopf-bifurcation
Mathematical modeling
Numerical simulations
Optimal control
Issue Date: Nov-2021
Publisher: Wiley; Hindawi
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.
Peer review: yes
DOI: 10.1002/cmm4.1194
Appears in Collections:CIDMA - Artigos
DMat - Artigos
SCG - Artigos

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