Analysis and new simulations of fractional Noyes-Field model using Mittag-Leffler kernel

In this manuscript, the fractional-in-time NoyesField model for Belousov-Zhabotinsky re- action transport is considered with a novel numerical technique, which was used to ap- proximate the Atangana-Baleanu (ABC) operator which models the subdiffusion partial derivative in time. The effect of the ABC operator is observed and captured more inter- esting physical behavior of some real-life phenomena. Applicability and suitability of the adopted method were carried out on some cases of nonlinear Belousov-Zhabotinsky sub- reaction-diffusion models, their dynamic behaviors with respect to fractional-order param- eters were displayed in figures.http://www.elsevier.com/locate/sciafam2023Mathematics and Applied Mathematic

Laplace transform-homotopy perturbation method for fractional time diffusive predator–prey models in ecology

DATA AVAILABILITY : No data was used for the research described in the article.In this paper, we consider some reaction–diffusion systems arising from two-component predator–prey models with various kinetics ranging from prey-dependent, ratio-dependent functional responses and subdiffusion. The goal of the present work is to simulate the time-dependent predator–prey model of Lotka–Volterra. Analytical solutions of this model are performed using the Laplace transform-homotopy perturbation method. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The fact that the proposed technique solves nonlinear problems without using Adomian’s polynomials can be considered as a clear advantage of this algorithm over the decomposition method. We show all the possible equilibria and examine their stability in line with the ecological parameters. Numerical simulations of the diffusive predator–prey model in one-, two- and three-dimensions are given to compare and demonstrate the asymptotic behaviour of the time-dependent reaction–diffusion systems. The results show that proposed technique is a powerful tool to solve systems of nonlinear ordinary and partial differential equations of predator–prey models in ecology.http://www.elsevier.com/locate/padiffhj2024Mathematics and Applied MathematicsNon

Owyhee Russet: AVariety with High Yields of U.S. No. 1 Tubers, Excellent Processing Quality, and Moderate Resistance to Fusarium Dry Rot (\u3ci\u3eFusarium solani var. coeruleum\u3c/i\u3e)

Owyhee Russet (AO96160-3) originated from a cross between A89384-10 and A89512-3 in 1996. Owyhee Russet was released in 2009 by Oregon State University, in cooperation with the USDA-ARS and the Agricultural Experiment Stations of Idaho and Washington and is a product of the Northwest Potato Variety (Tri-State) Development Program. Owyhee Russet has semi-erect medium sized vines with medium to late maturity. The tubers are long, with a tan skin, medium russeting, and attractive tuber appearance for fresh market. Owyhee Russet was evaluated in several locations across the Northwest for more than 15 years. Total yield of Owyhee Russet is similar to that of Russet Burbank and Ranger Russet but significantly higher than Russet Norkotah. U.S. No.1 tuber yield of Owyhee Russet is significantly higher than Russet Burbank and Russet Norkotah, resulting in substantially higher marketable yield. Owyhee Russet tubers have significantly higher specific gravity than Russet Burbank and Russet Norkotah. Fry color following tuber storage at 4°C and 9°C is significantly lighter for Owyhee Russet than the comparison varieties. Relative strengths include high yield with a very high proportion of U.S. No.1 tubers, good tuber appearance and excellent processing quality, resistance to cold sweetening, common scab and Fusarium dry rot. Weaknesses include susceptibility to foliar and tuber late blight and susceptibility to metribuzin herbicide injury. Allelic patterns of five SSR markers have shown that Owyhee Russet has a distinctive DNA genetic fingerprint from its russet type reference varieties which are Ranger Russet, Russet Burbank, and Russet Norkotah

Genetic diversity, linkage disequilibrium and power of a large grapevine (Vitis vinifera L) diversity panel newly designed for association studies

UMR-AGAP Equipe DAVV (Diversité, adaptation et amélioration de la vigne) ; équipe ID (Intégration de Données)International audienceAbstractBackgroundAs for many crops, new high-quality grapevine varieties requiring less pesticide and adapted to climate change are needed. In perennial species, breeding is a long process which can be speeded up by gaining knowledge about quantitative trait loci linked to agronomic traits variation. However, due to the long juvenile period of these species, establishing numerous highly recombinant populations for high resolution mapping is both costly and time-consuming. Genome wide association studies in germplasm panels is an alternative method of choice, since it allows identifying the main quantitative trait loci with high resolution by exploiting past recombination events between cultivars. Such studies require adequate panel design to represent most of the available genetic and phenotypic diversity. Assessing linkage disequilibrium extent and panel power is also needed to determine the marker density required for association studies.ResultsStarting from the largest grapevine collection worldwide maintained in Vassal (France), we designed a diversity panel of 279 cultivars with limited relatedness, reflecting the low structuration in three genetic pools resulting from different uses (table vs wine) and geographical origin (East vs West), and including the major founders of modern cultivars. With 20 simple sequence repeat markers and five quantitative traits, we showed that our panel adequately captured most of the genetic and phenotypic diversity existing within the entire Vassal collection. To assess linkage disequilibrium extent and panel power, we genotyped single nucleotide polymorphisms: 372 over four genomic regions and 129 distributed over the whole genome. Linkage disequilibrium, measured by correlation corrected for kinship, reached 0.2 for a physical distance between 9 and 458 Kb depending on genetic pool and genomic region, with varying size of linkage disequilibrium blocks. This panel achieved reasonable power to detect associations between traits with high broad-sense heritability (> 0.7) and causal loci with intermediate allelic frequency and strong effect (explaining > 10 % of total variance).ConclusionsOur association panel constitutes a new, highly valuable resource for genetic association studies in grapevine, and deserves dissemination to diverse field and greenhouse trials to gain more insight into the genetic control of many agronomic traits and their interaction with the environment

Owyhee Russet: A Variety with High Yields of U.S. No. 1 Tubers, Excellent Processing Quality, and Moderate Resistance to Fusarium Dry Rot (Fusarium solani var. coeruleum)

Owyhee Russet (AO96160-3) originated from a cross between A89384-10 and A89512-3 in 1996. Owyhee Russet was released in 2009 by Oregon State University, in cooperation with the USDA-ARS and the Agricultural Experiment Stations of Idaho and Washington and is a product of the Northwest Potato Variety (Tri-State) Development Program. Owyhee Russet has semi-erect medium sized vines with medium to late maturity. The tubers are long, with a tan skin, medium russeting, and attractive tuber appearance for fresh market. Owyhee Russet was evaluated in several locations across the Northwest for more than 15 years. Total yield of Owyhee Russet is similar to that of Russet Burbank and Ranger Russet but significantly higher than Russet Norkotah. U.S. No.1 tuber yield of Owyhee Russet is significantly higher than Russet Burbank and Russet Norkotah, resulting in substantially higher marketable yield. Owyhee Russet tubers have significantly higher specific gravity than Russet Burbank and Russet Norkotah. Fry color following tuber storage at 4°C and 9°C is significantly lighter for Owyhee Russet than the comparison varieties. Relative strengths include high yield with a very high proportion of U.S. No.1 tubers, good tuber appearance and excellent processing quality, resistance to cold sweetening, common scab and Fusarium dry rot. Weaknesses include susceptibility to foliar and tuber late blight and susceptibility to metribuzin herbicide injury. Allelic patterns of five SSR markers have shown that Owyhee Russet has a distinctive DNA genetic fingerprint from its russet type reference varieties which are Ranger Russet, Russet Burbank, and Russet Norkotah.Keywords: Breeding, Processing, Common scab resistance, Fusarium dry rot resistance, Variety, Solanum tuberosu

A numerical investigation of marriage divorce model: Fractal fractional perspective

Even if a marriage began as “till forever”, divorce is a legal way for married couples to end their relationship. Divorce, indeed, is a complex process that may be seen from several perspectives. Sociologists believe that the family gives more than simply individuals. It is the structure that allows individuals to develop mentally while also providing the necessary educational and financial assistance. Divorced spouses face economic, social, and financial exploitation. This, in turn, disintegrates families and diminishes the concept of the family as the core unit of society, causing society to become stalled. The breakup of families that will produce healthy and happy children in the future is a significant societal issue. According to Eurostat statistics, the number of crude marriages in European nations was 8 in 1964 and 4.3 in 2014. At the same period, crude divorce rates grew by more than twice as much, from 0.8 in 1964 to 1.8 in 2019. In 2022, Latvia, Lithuania, and Denmark had the most number of divorces. Considering the datas, the investigation of this phenomenon, which deeply injures and shakes society, by various branches of science and the study of its dynamics has become an important objective and mathematical analysis of divorce illuminates the motivation for this paper. Therefore, the mathematical model of divorce is considered with by the fractal fractional Caputo–Fabrizio derivative. Firstly, using Equilibrium points, the model’s linear stability is obtained. Then, the existence and uniqueness the solution of the model was proven by the Banach Fixed point theorem. Lastly, the behavior of the model is evaluated using graphics for different values of the fractal dimension and fractional derivative by developing a numerical method for the model that contains the fractal fractional derivative. Experimental results are analyzed for different instances of the key parameters that played major roles for each of the sub-population classes

Fracture and fatigue analysis of an agitator shaft with a circumferential notch

WOS: 000240013600006This paper is concerned with the fracture analysis of an agitator shaft of a large vessel and predicting its high cycle fatigue life. The agitator shaft has a circumferential notch around it and is subjected to remote bending and torque created by the mixing operation. The problem is comprised (i) the analyses of the bending force and torque acting on the agitator by using the analytical method, (ii) calculation of stress intensity factors under mode I and III loading conditions by using finite element method and, (iii) fatigue analysis of the agitator shaft failed in service. An agitator model is set up and data obtained from the agitator are processed to make more realistic approximations for bending forces, since they form a base for stress analysis, in which mode I stress intensity factors are evaluated. Mode I stress intensity factors obtained by finite element analysis are compared with the results provided by using the body force method. (c) 2006 Elsevier Ltd. All rights reserved

Some behaviour traits observed on the Kivircik and crossbred lambs raised in intensive conditions

In this study, the behaviour responses of the crossbred lambs [F-2 (German Black-Headed Mutton x Merino) x F-1 (Chios x Kivircik)] were compared with the Kivircik lambs in intensive conditions and the effects of genotype, sex and observation period on the behaviours displayed were investigated. The data were collected from 10 (5 male + 5 female) Kivircik and 10 (5 male + 5 female) crossbred lambs, which were weaned at the age of 2-2.5 months.The effect of genotype was found significant on the behaviours of feed consumption (P < 0.01), activities towards the bedding material (P < 0.05), rumination (P < 0.01), lying (P < 0.01), oral stereotypic behaviours (OSB) (P < 0.01) and behaviours towards animal (BTA) (P < 0.01). Behaviours towards other animals and oral stereotypic behaviours in the crossbred lambs were 50% and 27% more than the Kivircik lambs, respectively. Significant differences in terms of the activities towards the bedding material (P < 0.05), rumination (P < 0.01) and lying (P < 0.01) behaviours were determined between the male and female lambs. It was seen that the male lambs were more active in the breeding area. The effects of observation period were found significant on feeding (P < 0.01), drinking (P < 0.01), rumination (P < 0.01), lying (P < 0.01), standing (P < 0.01), oral stereotypic behaviours (P < 0.01) and behaviours towards animals (P < 0.05)