Dynamic analysis of mathematical model of the spread of yellow virus in red chili plants through insect vectors with logistical functions

Amelia, Rika; Anggriani, Nursanti; Istifadah, Noor; Supriatna, Asep K.

doi:10.1063/5.0023572

Cited by 10 publications

(3 citation statements)

References 22 publications

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“…The following year researchers continued to study plant epidemic models involving fungicides with curative treatments [11], and determine the optimal control of the mathematical model of plant diseases to see the effectiveness of the application of fungicides [12]. Furthermore, in 2020, researchers will create and analyze the stability of a mathematical model of the spread of diseases in rice by involving vectors transmitted by green leafhoppers by considering predator-prey interactions between green leafhoppers and ladybugs [13] and researchers who analyzed the mathematical model of the spread of the yellow virus on red chili plants through insect vectors with logistic functions [14]. All of the above plant disease distribution models use stability analysis with various methods.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Tungro Disease Spread Model in Rice Plant Using Matrix Method

Maryati

Beay

Carnia

2022

BAREKENG: J. Il. Mat. & Ter.

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Rice is one of the staple foods produced from the rice plant. Rice productivity is increased by carrying out efforts to control diseases that usually attack rice plants. Tungro is one of the most destructive diseases of rice plants. Mathematical models can help solve problems in the spread of plant diseases. In this paper, the development of a mathematical model for the spread of tungro disease in rice plants with 6 compartments is developed involving rice in the vegetative and generative phases. Furthermore, stability analysis is carried out on the obtained model by using the Basic Reproduction Number ( ) search through the matrix method, especially through the search for transition matrices and transmission matrices. The analytical results show that when 1 the non-endemic equilibrium point is stable and when >1 the endemic equilibrium point is stable. Numerical results showed that rice plants in the generative phase were more infected than rice plants in the vegetative phase.

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Section: Introductionmentioning

confidence: 99%

Stability Analysis of Tungro Disease Spread Model in Rice Plant Using Matrix Method

Maryati

Beay

Carnia

2022

BAREKENG: J. Il. Mat. & Ter.

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“…Differential equations are the mathematical tool that can be used to model problems in various fields of sciences such as economics, biology, physics, mathematics, robotic, encryption, circuit (Amelia, 2020;Anggriani 2019;Aldila 2020;Vaidyanathan et al, 2017;Sambas et al, 2020;Sukono et al, 2020;Sambas et al, 2019;Mobayen et al, 2019;). A differential equation is an equation that contains a derivative of a function.…”

Section: Introductionmentioning

confidence: 99%

Order Runge-Kutta with Extended Formulation for Solving Ordinary Differential Equations

Suryaningrat¹,

Ashgi²,

Purwani³

2020

ijgor

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The mathematical model has been used to understand many phenomena and natural interactions. Since including many variables and parameters, the complex models are not easy to find analytical solutions. In this paper, we analyze one of the family of Runge–Kutta method with an expansion of evaluation function. We applied the proposed method to solve ordinary differential equations problems and compared it with other well-known Runge-Kutta methods. The computation cost and accuracy for each method have been analyzed.

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“…Chili accounts for 19% of the total vegetable cultivation area and is cultivated on 38.4 thousand hectares with a yield of 90.4 thousand tonnes (Shah et al, 2008). Different varieties of sweet peppers and pungent chili peppers are cultivated and widely used around the world (Ur-Rahman, 2018) as dried powders of various colors, but they suffer significant losses due to virus infection (Amelia et al, 2020). 45 diverse virus species have been identified to infect chilies/ peppers worldwide (Shah et al, 2008).…”

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confidence: 99%

Response of Different (Capsicum annuum L) Genotypes for Callus Induction, Plant Regeneration and Plant Transformation

Shafiq¹,

Ashraf²,

Mushtaq³

et al. 2022

SJA

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C hili peppers are members of the Capsicum genus, which belongs to the family Solanaceae, ae (Kothari et al., 2010;Jeong et al., 2011). There are 5 cultivated and 26 wild Capsicum species in the genus Capsicum (Wahyuni et al., 2013). Chili is an important cash crop in Pakistan, with a total cultivated area Abstract | Chilli (Capsicum annuum), which belongs to the family Solanaceae, is an important spice crop cultivated in tropical and subtropical countries. A Protocol for chili plant regeneration with hypocotyl and cotyledon explants was established. The study was conducted to observe the effect of genotypes, culture conditions and growth regulators on plant regeneration of chili pepper genotypes (Seedex Pepper (SP), Loungi, Tatapuri, and Sanam) grown in Pakistan including. For both hypocotyl and cotyledon explants, SP was found to be the most sensitive among the tested genotypes tested. Maximum mean callus induction rate of hypocotyl was 76.6% in SP followed by TP (73.3%); Sanam (57.3%); Loungi (43.3%) respectively. Whereas in case of cotyledon maximum inductions rate was found in Loungi (62.0%) followed by SP (60); Sanam (57.3); TP (46) individually. According to the observations maximum plant regeneration was found in genotype SP (9%), followed by Loungi (1.8%); Sanam (1.5%) but no plant regeneration was found in TP. A. tumefaciens LBA4404 with the 35S GFP/pFGC construct were used to evaluate hypocotyl and cotyledon explants for transformation. The effects of co-cultivation at different temperatures (22 and 25 o C), photoperiods (16 hours of light, 8 hours of darkness, and full darkness), and co-cultivation periods were studied. GFP assays revealed that the putative transgenic calli were not transformed and died after 40-60 days. The experiment was repeated ten times to see the success rate of the regeneration system. In this study a protocol for chili plant regeneration was developed for callus induction, plant regeneration, and plant transformation. Because developing a viable chilli tissue culture and plant regeneration system is difficult, this study was designed to help develop one. SP was found to be the most suitable among the four genotypes used for regeneration.

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Dynamic analysis of mathematical model of the spread of yellow virus in red chili plants through insect vectors with logistical functions

Cited by 10 publications

References 22 publications

Stability Analysis of Tungro Disease Spread Model in Rice Plant Using Matrix Method

Stability Analysis of Tungro Disease Spread Model in Rice Plant Using Matrix Method

Order Runge-Kutta with Extended Formulation for Solving Ordinary Differential Equations

Response of Different (Capsicum annuum L) Genotypes for Callus Induction, Plant Regeneration and Plant Transformation

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