Mathematical modeling and an application of the filled function method in entomology

Abstract

Macrosiphum rosae (L.) is one of the most destructive pests for Rosa damascena (Miller) when it is found in high numbers. In order to understand the population dynamics of this pest, our priority should be the determination of what extent environmental factors affect the pest population. In this study, we apply fuzzy logic modeling to visualize the population variations, which depends on the environmental factors (temperature and humidity), by using the data obtained from the field studies. After that, we determine the values of temperature and humidity that makes the number of M. rosae maximum by using the filled function method as a global optimization technique.

Non-smooth modeling in surface hardening

“…In this work, we try to model the effect of the amount of alloying elements which are amount of carbon (C) and silicon (Si) on microhardness. Finally, local and global extremum values of the objective function are obtained by applying filled function method which is one of the effective global optimization techniques, that has recently been started to be applied to these kinds of physical problems (see [29][30][31]).…”

“…Just replacing x * 1 by x * 2 , a new filled function can be constructed and then a much lower minimizer of the objective function can be found by using the same way. This loop continues until the global minimizer of the objective function is found [29][30][31][32][33].…”

Filled Fonksiyonunda Yeni Bir Stokastik Arama Yöntemi

“…Also, this approach costs lots of time. FFM has used various kinds of problems that need global optimization [40]. L type FFM used in this study because of their advantage to others [41].…”

New Auxiliary Function with Properties in Nonsmooth Global Optimization for Melanoma Skin Cancer Segmentation

“…It is produced with respect to passing from the current local minimizer to the lower one until the global minimizer is determined. Numerous classes of filled functions have been introduced by several authors (see, e.g., [6][7][8][9][10][11][12]). Bezier curves were introduced to solve the nonsmoothness of curves.…”