scholarly journals Dynamics of Fractional Model of Biological Pest Control in Tea Plants with Beddington–DeAngelis Functional Response

2021 ◽  
Vol 6 (1) ◽  
pp. 1
Author(s):  
Sindhu J. Achar ◽  
Chandrali Baishya ◽  
Pundikala Veeresha ◽  
Lanre Akinyemi
Keyword(s):  
Fractional Derivatives ◽  
Equilibrium Points ◽  
Tea Plant ◽  
Complex Nature ◽  
Tea Leaves ◽  
Order Model ◽  
Biological Pest Control ◽  
Fractional Order Model ◽  
Tea Plants ◽  
The Stability

In this study, we depicted the spread of pests in tea plants and their control by biological enemies in the frame of a fractional-order model, and its dynamics are surveyed in terms of boundedness, uniqueness, and the existence of the solutions. To reduce the harm to the tea plant, a harvesting term is introduced into the equation that estimates the growth of tea leaves. We analyzed various points of equilibrium of the projected model and derived the conditions for the stability of these equilibrium points. The complex nature is examined by changing the values of various parameters and fractional derivatives. Numerical computations are conducted to strengthen the theoretical findings.

scholarly journals A fractional-order love dynamical model with time delay for synergic couple : Stability analysis and Hopf bifurcation

2021 ◽  
Author(s):  
SANTOSHI PANIGRAHI ◽  
Sunita Chand ◽  
S Balamuralitharan
Keyword(s):  
Stability Analysis ◽  
Hopf Bifurcation ◽  
Time Delay ◽  
Fractional Order ◽  
Reproduction Number ◽  
Equilibrium Points ◽  
Order Model ◽  
Fractional Order Model ◽  
The Stability ◽  
The Impact

We investigate the fractional order love dynamic model with time delay for synergic couples in this manuscript. The quantitative analysis of the model has been done where the asymptotic stability of the equilibrium points of the model have been analyzed. Under the impact of time delay, the Hopf bifurcation analysis of the model has been done. The stability analysis of the model has been studied with the reproduction number less than or greater than 1. By using Laplace transformation, the analysis of the model has been done. The analysis shows that the fractional order model with a time delay can sufficiently improve the components and invigorate the outcomes for either stable or unstable criteria. In this model, all unstable cases are converted to stable cases under neighbourhood points. For all parameters, the reproduction ranges have been described. Finally, to illustrate our derived results numerical simulations have been carried out by using MATLAB. Under the theoretical outcomes from parameter estimation, the love dynamical system is verified.

DYNAMICAL ANALYSIS OF FRACTIONAL ORDER ZIKV MODEL

2021 ◽  
Vol 10 (5) ◽  
pp. 2469-2481
Author(s):  
N.A. Hidayati ◽  
A. Suryanto ◽  
W.M. Kusumawinahyu
Keyword(s):  
Numerical Simulation ◽  
Equilibrium Point ◽  
Fractional Order ◽  
Equilibrium Points ◽  
Dynamical Analysis ◽  
Stability Conditions ◽  
Order Model ◽  
Fractional Order Model ◽  
The Stability ◽  
S Model

The ZIKV model presented in this article is developed by modifying \cite{Bonyah2016}’s model. The classical order is changed into fractional order model. The equilibrium points of the model are determined and the stability conditions of each equilibrium point have been done using Routh-Hurwitz conditions. Numerical simulation is presented to verify the result of stability analysis result. Numerical simulation is also used to shows the effect of the order $\alpha$ to the stability of the model’s equilibrium point.

scholarly journals Low Caffeine Content in Novel Grafted Tea with Camellia sinensis as Scions and Camellia oleifera as Stocks

2015 ◽  
Vol 10 (5) ◽  
pp. 1934578X1501000 ◽  
Author(s):  
Wei-Wei Deng ◽  
Min Li ◽  
Chen-Chen Gu ◽  
Da-Xiang Li ◽  
Lin-Long Ma ◽  
...  
Keyword(s):  
Camellia Sinensis ◽  
Expression Patterns ◽  
Tea Plant ◽  
Protein Accumulation ◽  
Tea Leaves ◽  
Qrt Pcr ◽  
Caffeine Content ◽  
Caffeine Synthase ◽  
Specificity And Sensitivity ◽  
Tea Plants

Caffeine, a purine alkaloid, is a major secondary metabolite in tea leaves. The demand for low caffeine tea is increasing in recent years, especially for health reasons. We report a novel grafted tea material with low caffeine content. The grafted tea plant had Camellia sinensis as scions and C. oleifera as stocks. The content of purine alkaloids was determined in the leaves of one-year-old grafted tea plants by HPLC. We also characterized caffeine synthase (CS), a key enzyme involved in caffeine biosynthesis in tea plants, at the expression level. The expression patterns of CS were examined in grafted and control leaves by Western blot, using a self-prepared polyclonal antibody with high specificity and sensitivity. The expression of related genes ( TCS1, tea caffeine synthase gene, GenBank accession No. AB031280; sAMS, SAM synthetase gene, AJ277206; TIDH, IMP dehydrogenase gene, EU106658) in the caffeine biosynthetic pathway was investigated by qRT-PCR. HPLC showed that the caffeine content was only 38% as compared with the non-grafted tea leaves. Immunoblotting analysis showed that CS protein decreased by half in the leaves of grafted tea plants. qRT-PCR revealed no significant changes in the expression of two genes in the upstream pathway ( sAMS and TIDH), while the expression of TCS1 was greatly decreased (50%). Taken together, these data revealed that the low caffeine content in the grafted tea leaves is due to low TCS1 expression and CS protein accumulation.

scholarly journals A study of tea leaves drying using dehumidification process and regeneration of liquid desiccant in a closed-cycle dehumidification-humidification

2018 ◽  
Vol 159 ◽  
pp. 02025 ◽  
Author(s):  
Eflita Yohana ◽  
Mohammad Endy Yulianto ◽  
Shofwan Bahar ◽  
Azza Alifa Muhammad ◽  
Novi Laura Indrayani
Keyword(s):  
Absolute Humidity ◽  
Tea Plant ◽  
Regeneration Process ◽  
Drying Process ◽  
Liquid Desiccant ◽  
Tea Leaves ◽  
Saturation Point ◽  
Air Stream ◽  
Tea Plants ◽  
Tea Leaf

Tea plants in Indonesia are derived from Carmelia sinensis var. assamica which contain catechin in quite high amount compared with other countries tea plant. Green tea is made by inactivating the oxidase / phenolase enzyme that presents in the fresh tea leaf buds from tea garden, by using hot steam to prevent the oxidation of the catechins. Drying process to reduce the moisture of tea, one of the method is by utilizing the dry air from dehumidification process. Liquid desiccant made from 50% concentration of CaCl2, the temperature is lowered to 10 °C and sprayed into the air stream which contains water vapor by using a 0.2 mm spraying nozzle so that mass transfer and latent heat occur in the dehumidifier. The result of air dehumidification process used for drying tea leaves. The air is able to dry the tea leaves from the weight of 58 grams to 47 grams. Then the liquid desiccant dehumidification process will be streamed into the humidifier, where the liquid desiccant regeneration process will have change into the initial concentration. The result of air humidification process has an average absolute humidity rise of 0.07 g/kg. The liquid desiccant regeneration process that happened continuously reaching the saturation point at 280 minutes. It can be concluded that the process of dehumidification-humidification is a fairly effective method for drying the tea leaves.

scholarly journals Dynamic Analysis of a Fractional-Order Model for Hepatitis B Virus with Holling II Functional Response

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Ruiqing Shi ◽  
Ting Lu ◽  
Cuihong Wang
Keyword(s):  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Fractional Order ◽  
Reproduction Number ◽  
Sufficient Conditions ◽  
Order Model ◽  
Fractional Order Model ◽  
B Virus ◽  
The Stability ◽  
Holling Ii Functional Response

In this paper, a fractional-order model is constructed to describe the transmission of Hepatitis B Virus (HBV). Firstly, the existence and uniqueness of positive solutions are proved. Secondly, the basic reproduction number and the sufficient conditions for the existence of two equilibriums are obtained. Thirdly, the stability of equilibriums are analyzed. After that, some numerical simulations are performed to verify the theoretical prediction. Finally, a brief discussion is presented.

scholarly journals Metabolism of Gallic Acid and Its Distributions in Tea (Camellia sinensis) Plants at the Tissue and Subcellular Levels

2020 ◽  
Vol 21 (16) ◽  
pp. 5684 ◽  
Author(s):  
Xiaochen Zhou ◽  
Lanting Zeng ◽  
Yingjuan Chen ◽  
Xuewen Wang ◽  
Yinyin Liao ◽  
...  
Keyword(s):  
Gallic Acid ◽  
Camellia Sinensis ◽  
Tea Plant ◽  
Plant Diseases ◽  
Tea Leaves ◽  
Specialized Metabolites ◽  
Tea Plants ◽  
Mg Content ◽  
Ga Content

In tea (Camellia sinensis) plants, polyphenols are the representative metabolites and play important roles during their growth. Among tea polyphenols, catechins are extensively studied, while very little attention has been paid to other polyphenols such as gallic acid (GA) that occur in tea leaves with relatively high content. In this study, GA was able to be transformed into methyl gallate (MG), suggesting that GA is not only a precursor of catechins, but also can be transformed into other metabolites in tea plants. GA content in tea leaves was higher than MG content—regardless of the cultivar, plucking month or leaf position. These two metabolites occurred with higher amounts in tender leaves. Using nonaqueous fractionation techniques, it was found that GA and MG were abundantly accumulated in peroxisome. In addition, GA and MG were found to have strong antifungal activity against two main tea plant diseases, Colletotrichum camelliae and Pseudopestalotiopsis camelliae-sinensis. The information will advance our understanding on formation and biologic functions of polyphenols in tea plants and also provide a good reference for studying in vivo occurrence of specialized metabolites in economic plants.

Effects of Simulated Acid Rain and Aluminum Enrichment on Growth and Photosynthesis of Tea Seedlings

2012 ◽  
Vol 610-613 ◽  
pp. 181-185 ◽  
Author(s):  
Xiao Hua Duan ◽  
Xiao Fei Hu ◽  
Fu Sheng Chen ◽  
Ze Yuan Deng
Keyword(s):  
Acid Rain ◽  
Chlorophyll Content ◽  
Combined Treatment ◽  
Tea Plant ◽  
Simulated Acid Rain ◽  
Tea Leaves ◽  
Tea Production ◽  
Al Addition ◽  
Tea Plants ◽  
Photosynthesis Capacity

The effects of simulated acid rain and aluminum (Al) addition on growth and photosynthesis physiology of tea plants (Camellia sinensis L.) were studied with tea seedlings in a hydroculture experiment. Results showed that the growth of tea plant, chlorophyll content, and photosynthesis (Pn) of tea leaves were better in the treatments of suitable Al addition (10 mg/L and/or 20 mg/L) than the treatments without Al addition and higher Al addition (30 mg/L). The growth of tea plant increased with increasing acidity of acid rain, while the leaves of tea plant showed more chlorophyll content and higher Pn at the treatment of pH 4.0 than pH 5.0 and pH 3.0 acid solutions. The growth of tea plant, chlorophyll content and Pn were the best at the combined treatment of suitable Al addition (10~20 mg/L) and moderate acidity of acid rain (pH 4.0), while the slowest at the combined treatment of 30 mg/L Al and pH 3.0 acid rain. These results suggested that suitable Al and moderate acidity of acid rain are helpful to increase tea production by increasing photosynthesis capacity.

scholarly journals Decision Making in the Tea Leaves Diseases Detection Using Mamdani Fuzzy Inference Method

2018 ◽  
Vol 12 (3) ◽  
pp. 1273 ◽  
Author(s):  
Arif Ridho Lubis ◽  
Santi Prayudani ◽  
Muharman Lubis ◽  
Al Khowarizmi
Keyword(s):  
Decision Making ◽  
Fuzzy Inference ◽  
Tea Plant ◽  
Previous Method ◽  
Tea Leaves ◽  
Small Tree ◽  
Tea Production ◽  
Functional Hierarchy ◽  
Tea Plants ◽  
Degree Slope

The tea plants (Camellia Sinensis) are small tree species that use leaves and leaf buds to produce tea harvested through a monoculture system. It is an agriculture practice to cultivate one types of crop or livestock, variety or breed on a farm annually. Moreover, the emergence of pests, pathogens and diseases cause serious damages to tea plants significantly to its productivity and quality to optimum worst. All parts of the tea plant such as leaves, stems, roots, flowers and fruits are exposed to these harm lead to loss of yield 7 until 10% per year. The intensity of these attacks vary greatly on particular climate, the degree slope and the plant material used. Therefore, this study analyzes tea leaves as a common part used in recipes to create unique taste and flavor in tea production, especially in agro-industry. The decision making method used is Fuzzy Mamdani Inference as one of model with functional hierarchy with initial input based on established criteria. Fuzzy logic will provide tolerance to the set of value, so that small changes will not result in significant category differences, only affect the membership level on the variable value. Previous method using probabilities have shown 78% tea leaves have been attacked by category C (Gray Blight) while using Mamdani indicated 86% of tea leaves have been infected. In this case, this result pointed out that Fuzzy Mamdani Inferences have more optimal result compare to the previous method.

scholarly journals Response to the Cold Stress Signaling of the Tea Plant (Camellia sinensis) Elicited by Chitosan Oligosaccharide

Agronomy ◽  
2020 ◽  
Vol 10 (6) ◽  
pp. 915 ◽  
Author(s):  
Yingying Li ◽  
Qiuqiu Zhang ◽  
Lina Ou ◽  
Dezhong Ji ◽  
Tao Liu ◽  
...  
Keyword(s):  
Low Temperature ◽  
Cold Stress ◽  
Soluble Sugar ◽  
Tea Plant ◽  
Chitosan Oligosaccharide ◽  
Stress Signaling ◽  
Molecular Response ◽  
Tea Leaves ◽  
Sod Activity ◽  
Tea Plants

Cold stress caused by a low temperature is a significant threat to tea production. The application of chitosan oligosaccharide (COS) can alleviate the effect of low temperature stress on tea plants. However, how COS affects the cold stress signaling in tea plants is still unclear. In this study, we investigated the level of physiological indicators in tea leaves treated with COS, and then the molecular response to the cold stress of tea leaves treated with COS was analyzed by transcriptomics with RNA-Sequencing (RNA-Seq). The results show that the activity of superoxide dismutase (SOD) activity, peroxidase (POD) activity, content of chlorophyll and soluble sugar in tea leaves in COS-treated tea plant were significantly increased and that photosynthesis and carbon metabolism were enriched. Besides, our results suggest that COS may impact to the cold stress signaling via enhancing the photosynthesis and carbon process. Our research provides valuable information for the mechanisms of COS application in tea plants under cold stress.

Mathematical and stability Analysis of Fractional Order Model for Spread of Pests in Tea Plants

Fractals ◽  
2020 ◽  
Author(s):  
Zain Ul Abadin Zafar ◽  
Zahir Shah ◽  
Nigar Ali ◽  
Ebraheem O. Alzahrani ◽  
Meshal Shutaywi
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Order Model ◽  
Fractional Order Model ◽  
Tea Plants
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