Title: An optimal procedure using six mathematical models to control Tribolium castaneum exposed to some essential plant oils

Authors: Elhadi E. Elamir

Addresses: Department of Mathematics, Najran University, Najran, 1988, Kingdom of Saudi Arabia

Abstract: The present study employs six models, and consequently an optimal procedure, to develop a powerful strategy to manage Tribolium castaneum insects exposed to different concentrations of essential oils extracted from four plants. These models are composed of three kinds of logistic models i.e., Logit, Loglog and Cloglog models, together with Probit, Cauchit and Fractional models. The author uses the generalised inverse matrix method to find the least-squares solution of the obtained regular matrix equations. The results of this research assure that the proposed optimal procedure, Probit model, Logit model and CLoglog model may control the mortality of Tribolium castaneum with accepted goodness of fit. Results of this research can be used to determine the oil concentrations corresponding with the mortality ratios of the insects which can be used to build an integrated and precise control system to compact Tribolium castaneum insects.

Keywords: Probit; logistic; Cauchit; fractional models; T. castaneum.

DOI: 10.1504/IJCBDD.2022.124760

International Journal of Computational Biology and Drug Design, 2022 Vol.15 No.1, pp.43 - 59

Received: 19 Nov 2021
Accepted: 23 Jan 2022
Published online: 08 Aug 2022 *

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