Mathematical Model for Analyzing the Dynamics of Tungro Virus Disease in Rice: A Systematic Literature Review
Abstract
:1. Introduction
2. Methods
2.1. Data Search Strategy
2.2. Selection of Relevant Articles
2.3. Data Analysis
- Reviewing the mathematical model of the spread of tungro virus disease in rice plants. This is necessary to determine the extent to which previous findings have developed the model. Each paper used as a reference is discussed starting with what was analyzed, what assumptions were used, how the model was formed, and what kind of control was carried out;
- Reviewing the results that have been previously achieved. The results obtained in each paper used as a reference are presented at this stage;
- Determining the research gap regarding the mathematical model of the spread of tungro virus disease. Each model and analysis carried out in each paper is discussed to obtain a gap that can be used in the development of research models and methods regarding the spread of tungro virus disease in rice plants;
- Perform statistical analysis to see the development of the model for the spread of tungro virus disease. The development of a model of the spread of tungro virus disease is seen based on how many studies on modeling have been published, since the modeling was carried out, and how it was developed;
- Performing bibliometric analysis to analyze the novelty, obsolescence, and scientific reference distribution. Mapping the model for the spread of tungro virus disease in rice plants with the help of VOSViewer software so that we can see how far the model for the spread of tungro virus disease in rice plants has been developed.
3. Results and Discussion
3.1. Overview of Previous Models
3.2. Results That Have Been Achieved in Previous Studies
3.3. Research Gaps That Might Be Developed
3.4. Statistical Analysis
3.5. Bibliometric Analysis
4. Discussion
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Keyword | Amount of Data From | ||
---|---|---|---|
Dimension | Google Scholar | Scopus | |
(“Stability analysis” OR “Mathematical model” OR “Mathematical modelling” OR “Dynamical Analysis” OR “Dynamical System” OR “Optimal Control”) | 1,586,304 | 18,000 | 723,128 |
(“Stability analysis” OR “Mathematical model” OR “Mathematical modelling” OR “Dynamical Analysis” OR “Dynamical System” OR “Optimal Control”) AND (“Plant disease”) | 3885 | 3750 | 34,717 |
(“Stability analysis” OR “Mathematical model” OR “Mathematical modelling” OR “Dynamical Analysis” OR “Dynamical System” OR “Optimal Control”) AND (“Plant disease”) AND (“Tungro”) | 38 | 43 | 105 |
(“Stability analysis” OR “Mathematical model” OR “Mathematical modelling” OR “Dynamical Analysis” OR “Dynamical System”) AND (“Optimal Control”) AND (“Plant disease”) AND (“Tungro”) | 14 | 16 | 5 |
No | Author | Purpose and Objectives | Method/Model | Object/Description | Ref. |
---|---|---|---|---|---|
1. | Castle and Giligan | Make mathematical modeling to consider fungicide dynamics that affect plant pathogens’ invasion and persistence. |
| Fungal disease/full paper is not suitable. | [17] |
2 | Atallah et al. | Models the dynamic spatial diffusion of disease in vineyards, evaluates nonspatial and spatial control strategies and ranks them based on expected net present values. | Bioeconomic models, agent-based models, dynamic spatial processes, disease control. | Leaf roll disease/inappropriate title. | [25] |
3. | Bousset et al. | Consider the interactions between plants, pathogens, the environment, and human actions in space and time to formalize cyclic epidemics. | - | Review article/title irrelevant. | [26] |
4. | Blas et al. | Analyze the equilibrium solution, and solve numerically for susceptible rice varieties. | Make a mathematical model of the spread of tungro disease by considering the characteristics of RTSV and RTBV and analyze the model numerically. | Tungro disease in rice plants/paper added and used as a reference paper. | [21] |
5. | Papaïx et al. | Study the impact of landscape organization (defined by the proportion of cultivated fields with resistant cultivars and their spatial aggregation) and life-history traits of major pathogens on three disease control steps. | Model: Susceptible-Exposed-Infectious-Removed (SEIR) Method: Statistical analysis. | Epidemiological control/inappropriate title. | [27] |
6. | Anggriani et al. | Examine the effect of using insecticides on plants infected with tungro disease in rice plants. | model and use Pontryagin’s maximum principle in finding optimal control. | Tungro disease in rice plants/reference paper. | [19] |
7. | Blas and David | Analyze the efficiency of the roguing process on land infected with rice tungro disease and pay attention to the types and characteristics of the virus. | Created a rice plant model based on a system of ordinary differential equations to simulate the effect of roguing in controlling the spread of the Tungro virus. | Tungro disease in rice plants/reference paper. | [22] |
8. | Jeger et al. | Improve understanding and control of disease through mathematical modeling and analysis. | Modeling Analysis. | Plants in general/full paper are not suitable. | [28] |
9. | Rimbaud et al. | Develop stochastic models to assess epidemiological and evolutionary outcomes | Stochastic | The pathogen/title is not appropriate. | [29] |
10. | Anggriani et al. | Seek optimal control of the use of botanical fungicides. | Create a SIRXP model taking into account:
| Plant diseases in general/full paper are not suitable. | [15] |
11. | Al-Basir et al. | Develop a dynamic model of mosaic disease by considering roguing and insecticides. | Model: Method: Stability analysis Bifurcation Analysis Using the Pontryagin Maximum Principle. | Mosaic virus on Jatropha plants/full paper is not suitable. | [30] |
12. | Amelia et al. | Determining optimal control of the use of Verticillium lecanii | Using the Pontryagin Maximum Principle. | Yellow virus disease in red chili plants/whole paper is not suitable. | [24] |
13. | Amelia et al. | Seek optimal control of the use of botanical fungicides | Changing the birth rate following a logistic function as the model developed by Anggriani et al. [15] | Plant diseases in general/full paper are not suitable. | [16] |
14. | Suryaningrat et al. | Looking for optimal control of the use of insecticides and biological agents in controlling the spread of tungro virus disease |
| Tungro disease in rice plants/reference paper. | [19] |
15. | Anggriani et al. | Determine the optimal control of the roguing and replanting plant disease model that considers curative treatment, preventive treatment, and the combination of curative and preventive treatment. | Using the Pontryagin Maximum Principle. | Plant diseases in general/full paper are not suitable. | [14] |
16. | Jeger et al. | Review: Epidemiology of Plant Viral Diseases. | Review mathematical models. | Plant virus/inappropriate title. | [31] |
17. | El-Sayed et al. | Creating a fractional model for plant disease in two-stage infection | Model: Method: Determine disease-free stability and endemic balance and perform numerical simulations using the fractional Euler method (FEM). | Plants in general/full paper are not suitable. | [32] |
18. | Sabir et al. | Introducing a stochastic solver based on Levenberg-Marquardt backpropagation Neural Networks (LMBNNs) for nonlinear host-vector-predator models. | The model used: nonlinear host-vector-predator Method: Mean Square Error (MSE), Error Histograms (EHs), and regression/correlation. | Plants in general/irrelevant title. | [33] |
19. | Amelia et al. | Analyzes a mathematical model of plant disease that considers the plant growth phase and the application of Verticillium lecanii | ). | Yellow virus disease in red chili plants/whole paper is not suitable. | [23] |
20. | Suryaningrat et al. | Completed the host-vector predator system. | Using the DTM and Runge–Kutta methods. | Host-vector- predators/full papers are not suitable. | [34] |
21. | Rimbaud et al. | They analyzed 69 modeling studies considering the specific model structure, underlying assumptions, and evaluation criteria. | Review of 69 modeling studies | The review paper/title is not appropriate. | [35] |
Formed Models | |
---|---|
Model 1 [19] | |
Model 2 [20] | |
Model 3 [21] | |
Model 4 [22] |
Variable/Parameter | Description |
---|---|
Healthy Vector Population | |
RTSV Infected Vector Population | |
RTBV Infected Vector Population | |
RTSV + RTBV Infected Vector Population | |
Healthy Plants Population | |
RTSV Infected Plants Population | |
RTBV Infected Plants Population | |
RTSV + RTBV Infected Plants Population | |
RTSV + RTBV transmission rate by RTSV + RTBV infected vector in susceptible plants | |
RTSV transmission rate by RTSV Infected vector in susceptible plants | |
RTSV transmission rate by RTSV + RTBV infected vector in susceptible plants | |
RTBV transmission rate by RTBV infected vector in susceptible plants | |
RTBV transmission rate by RTSV + RTBV infected vector in susceptible plants | |
RTSV + RTBV transmission rate by RTSV + RTBV infected vector in RTSV + RTBV infected plants | |
RTSV + RTBV transmission rate by RTSV + RTBV infected vector in RTBV infected plants | |
The rate of acquisition of RTSV + RTBV infected plants by susceptible vectors to RTSV + RTBV infected vectors | |
The rate of acquisition of RTSV infected plants by susceptible vectors to RTSV infected vectors | |
The rate of acquisition of RTBV infected plants by RTSV infected vectors to RTSV + RTBV infected vectors |
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Amelia, R.; Anggriani, N.; Supriatna, A.K.; Istifadah, N. Mathematical Model for Analyzing the Dynamics of Tungro Virus Disease in Rice: A Systematic Literature Review. Mathematics 2022, 10, 2944. https://doi.org/10.3390/math10162944
Amelia R, Anggriani N, Supriatna AK, Istifadah N. Mathematical Model for Analyzing the Dynamics of Tungro Virus Disease in Rice: A Systematic Literature Review. Mathematics. 2022; 10(16):2944. https://doi.org/10.3390/math10162944
Chicago/Turabian StyleAmelia, Rika, Nursanti Anggriani, Asep K. Supriatna, and Noor Istifadah. 2022. "Mathematical Model for Analyzing the Dynamics of Tungro Virus Disease in Rice: A Systematic Literature Review" Mathematics 10, no. 16: 2944. https://doi.org/10.3390/math10162944