Research article

Stability analysis and optimal control for leaf brown spot disease of rice

  • Received: 04 December 2022 Revised: 06 February 2023 Accepted: 10 February 2023 Published: 20 February 2023
  • MSC : 34D20, 34D23

  • Leaf brown spot, caused by fungi, is a terrible plant disease, and it can significantly reduce the quality and quantity of rice. In this paper, we developed the model based on leaf brown spot disease development and considered a preventive treatment using botanical fungicide. In addition, we develop a model with suitable optimal control strategies. The result shows disease-free equilibrium is asymptotically stable when R0>1. In contrast, the endemic equilibrium is asymptotically stable when R0>1. The obtained optimal control to can reduce the number of infected plants compared to that without control. In addition, the analytical results were confirmed by numerical simulations of the occurrence of the theoretical results.

    Citation: Suprawee Lertnaweephorn, Usa Wannasigha Humphries, Amir Khan. Stability analysis and optimal control for leaf brown spot disease of rice[J]. AIMS Mathematics, 2023, 8(4): 9602-9623. doi: 10.3934/math.2023485

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  • Leaf brown spot, caused by fungi, is a terrible plant disease, and it can significantly reduce the quality and quantity of rice. In this paper, we developed the model based on leaf brown spot disease development and considered a preventive treatment using botanical fungicide. In addition, we develop a model with suitable optimal control strategies. The result shows disease-free equilibrium is asymptotically stable when R0>1. In contrast, the endemic equilibrium is asymptotically stable when R0>1. The obtained optimal control to can reduce the number of infected plants compared to that without control. In addition, the analytical results were confirmed by numerical simulations of the occurrence of the theoretical results.



    It is with admiration that we share with you our publication data for the 2022 calendar year for the AIMS Medical Science Journal. It was another successful year with the highest number of publication submissions to date over the past three years. Our depth and breadth of publications spanned multiple basic and clinical science disciplines that originated from talented authors across the globe. We look forward to an exciting year ahead and welcome the opportunity to review original manuscripts for consideration for publication in the journal. Our goals are to provide a forum of high-quality manuscripts that can positively impact the expansion of scientific knowledge and advance the health of our population.

    Below is a graphic depiction of the manuscript submission and publication data for the journal for the past three years (Figure 1). There are slightly more submissions that were received in 2022 than in 2021, and the number of accepted and published manuscripts remain stable for the past three years. Our hope is increasing the footprint of quality manuscripts submitted to the journal that will translate into an increased number of high-quality publications for the upcoming year.

    Figure 1.  Manuscript statistics from 2020 to 2022.

    2022 manuscripts status:

    Publications: 28

    Reject rate: 71%

    Publication time (from submission to online): 109 days

    The geographic distribution of the corresponding authors of the published manuscripts are depicted below (Figure 2). We are honored to attract authors from around the world who chose to submit their research to the journal for publication (USA, Canada, Nigeria, Japan, etc.). Of note the majority of publications originate from authors based in the United States representing 39% of the publications followed by Canada and Nigeria standing at 11% each.

    Table 1 depicts the type of manuscripts published. A total of 28 articles were published in 2022, of which, the majority were research based, 12 (43%) followed by reviews, 10 (36%).

    Table 1.  Published articles type.
    Article type Number Percent
    Research article 12 43%
    Review 10 36%
    Others 6 21%
    Total 28

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    Figure 2.  Corresponding authors distribution.

    Table 2 depicts the top 10 articles with the highest views, published in 2022. A focus of these top 10 articles was: Fall Risks, Monoclonal Antibody development and COVID-19.

    Table 2.  The top 10 articles with the highest views, published in 2022.
    Title Corresponding author Views
    1 Knowledge, attitudes on falls and awareness of hospitalized patient's fall risk factors among the nurses working in Tertiary Care Hospitals Surapaneni Krishna Mohan 1861
    2 Clinical pharmacology to support monoclonal antibody drug development Sharon Lu 1861
    3 Telehealth during COVID-19 pandemic era: a systematic review Jonathan Kissi 1787
    4 Understanding the psychological impact of the COVID-19 pandemic on university students Belgüzar Kara 1786
    5 Soluble Fas ligand, soluble Fas receptor, and decoy receptor 3 as disease biomarkers for clinical applications: A review Michiro Muraki 1697
    6 Non-small cell lung cancer: epidemiology, screening, diagnosis, and treatment Anuj A. Shukla 1613
    7 Recurrence after treatment of arteriovenous malformations of the head and neck Nguyen Minh Duc 1583
    8 Staphylococcus aureus antimicrobial efflux pumps and their inhibitors: recent developments Manuel Varela 1467
    9 The mental health of the health care professionals in India during the COVID-19 pandemic: a cross-sectional study B Shivananda Nayak 1268
    10 Recognition, treatment, and prevention of perioperative anaphylaxis: a narrative review Julena Foglia 1210

     | Show Table
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    AIMS Medical Science Journal has 94 members, representing 26 countries. Thirty three percent of the members are from the United States, and other members represent Italy, France, and several other countries (Figure 3). We want to particularly acknowledge our editors: Kelly Pagidas (Editor-in-Chief), Belgüzar Kara, Gulshan Sunavala-Dossabhoy, Gwendolyn Quinn, Panayota Mitrou, Kimberly Udlis (retired), Mai Alzamel, Yi-Jang Lee, Sreekumar Othumpangat, Ji Hyun Kim, Athanasios Alexiou, Robert Striker, Andrei Kelarev, Casey Peiris, Patrick Legembre, Ramin Ataee, Louis Ragolia, Bogdan Borz, Robert Kratzke, Maria Fiorillo, Lars Malmström, Giuliana Banche, Jean-Marie Exbrayat and Elias El-Habr. Importantly, a special thank you to all the Editorial Board members, reviewers and in-house editors, and staff for their dedication, commitment, and unrelenting hard work throughout the year. We hope to attract additional scholars that will be able to join our team for the upcoming year.

    Figure 3.  Editorial board members distribution.


    [1] N. Anggriani, M. Mardiyah, N. Istifadah, A. K. Supriatna, Optimal control issues in plant disease with host demographic factor and botanical fungicides, IOP Conf. Ser., 332 (2018), 012036. https://doi.org/10.1088/1757-899X/332/1/012036 doi: 10.1088/1757-899X/332/1/012036
    [2] S. Lertnaweephorn, U. Humphries, A mathematical model for leaf brown spot disease of rice with standard incidence rate, Chinag Mai J. Sci., 48 (2021), 931–941.
    [3] P. Valarmathi, D. Ladhalakshmi, Morphological characterization of Bipolaris oryzae causing brown spot disease of rice, Int. J. Curr. Microbiol. Appl. Sci., 7 (2018), 161–170. https://doi.org/10.20546/IJCMAS.2018.702.021 doi: 10.20546/IJCMAS.2018.702.021
    [4] W. Windarto, K. M. Putri, A maize foliar disease mathematical model with standard incidence rate, IOP Conf. Ser., 546 (2019), 052085. https://doi.org/10.1088/1757-899X/546/5/052085 doi: 10.1088/1757-899X/546/5/052085
    [5] S. Lenhart, J. T. Workman, Optimal control applied to biological models, Chapman and Hall/CRC, 2007. https://doi.org/10.1201/9781420011418
    [6] M. K. Barnwal, A. Kotasthane, N. Magculia, P. K. Mukherjee, S. Savary, A. K. Sharma, et al., A review on crop losses, epidemiology and disease management of rice brown spot to identify research priorities and knowledge gaps, Eur. J. Plant Pathol., 136 (2013), 443–457. https://doi.org/10.1007/s10658-013-0195-6 doi: 10.1007/s10658-013-0195-6
    [7] N. Anggriani, L. N. Putri, A. K. Supriatna, Stability analysis and optimal control of plant fungal epidemic: an explicit model with curative factor, AIP Conf. Proc., 1651 (2015), 40–47. https://doi.org/10.1063/1.4914430 doi: 10.1063/1.4914430
    [8] M. F. Ahmed, K. M. Khalequzzaman, M. N. Islam, M. K. Anam, Effect of fungicides against Bipolaris oryzae of rice under in vitro condition, Plant Pathol. J., 2002. https://doi.org/10.3923/ppj.2002.4.7 doi: 10.3923/ppj.2002.4.7
    [9] W. Suryaningrat, N. Anggriani, A. K. Supriatna, N. Istifadah, The optimal control of rice tungro disease with insecticide and biological agent, AIP Conf. Proc., 2264 (2020), 040002. https://doi.org/10.1063/5.0023569 doi: 10.1063/5.0023569
    [10] T. Hussain, A. Aslam, M. Ozair, F. Tasneem, J. F. Gómez-Aguilar, Dynamical aspects of pine wilt disease and control measures, Chaos Solitons Fract., 145 (2021), 110764. https://doi.org/10.1016/j.chaos.2021.110764 doi: 10.1016/j.chaos.2021.110764
    [11] M. Masoumnezhad, M. Rajabi, A. Chapnevis, A. Dorofeev, S. Shateyi, N. S. Kargar, et al., An approach for the global stability of mathematical model of an infectious disease, Symmetry, 12 (2020), 1778. https://doi.org/10.3390/sym12111778 doi: 10.3390/sym12111778
    [12] H. T. Alemneh, A. S. Kassa, A. A. Godana, An optimal control model with cost effectiveness analysis of Maize streak virus disease in maize plant, Infect. Dis. Modell., 6 (2021), 169–182. https://doi.org/10.1016/j.idm.2020.12.001 doi: 10.1016/j.idm.2020.12.001
    [13] A. M. A. El-Sayed, S. Z. Rida, Y. A. Gaber, Dynamical of curative and preventive treatments in a two-stage plant disease model of fractional order, Chaos Solitons Fract., 137 (2020), 109879. https://doi.org/10.1016/j.chaos.2020.109879 doi: 10.1016/j.chaos.2020.109879
    [14] A. Khan, R. Zarin, M. Inc, G. Zaman, B. Almohsen, Stability analysis of leishmania epidemic model with harmonic mean type incidence rate, Eur. Phys. J. Plus, 135 (2020), 1–20. https://doi.org/10.1140/epjp/s13360-020-00535-0 doi: 10.1140/epjp/s13360-020-00535-0
    [15] G. Ur Rahman, K. Shah, F. Haq, N. Ahmad, Host vector dynamics of pine wilt disease model with convex incidence rate, Chaos Solitons Fract., 113 (2018), 31–39. https://doi.org/10.1016/j.chaos.2018.05.010 doi: 10.1016/j.chaos.2018.05.010
    [16] P. van den Driessche, J. Watmough, Reproduction number and sub-threshold endemic equilbria for compartmental models of disease transmission, Math. Biosci., 180 (2002), 29–38. https://doi.org/10.1016/S0025-5564(02)00108-6 doi: 10.1016/S0025-5564(02)00108-6
    [17] J. W. Rogers, Locations of roots of polynomials, SIAM Rev., 25 (1983), 327–342. https://doi.org/10.1137/1025075 doi: 10.1137/1025075
    [18] L. D. Wang, J. Q. Li, Global stability of an epidemic model with nonlinear incidence rate and differential infectivity, Appl. Math. Comput., 161 (2005), 769–778. https://doi.org/10.1016/j.amc.2003.12.121 doi: 10.1016/j.amc.2003.12.121
    [19] F. Brauer, P. van den Driessche, Models for transmission of disease with immigration of infectives, Math. Biosci., 171 (2001), 143–154. https://doi.org/10.1016/S0025-5564(01)00057-8 doi: 10.1016/S0025-5564(01)00057-8
    [20] G. Li, W. Wang, Z. Jin, Global stability of an SEIR epidemic model with constant immigration, Chaos Solitons Frac., 30 (2006), 1012–1019. https://doi.org/10.1016/j.chaos.2005.09.024 doi: 10.1016/j.chaos.2005.09.024
    [21] C. McCaig, S. Benkiranea, R. Normana, C. Shanklanda, From individual interactions: a process algebra approach to epidemiology, Stochastic Metapopul. Modell. Influenza Dyn., 2009.
    [22] S. Savary, A. Nelson, L. Willocquet, I. Pangga, J. Aunario, Modeling and mapping potential epidemics of rice diseases globally, Crop Prot., 34 (2012), 6–17. https://doi.org/10.1016/j.cropro.2011.11.009 doi: 10.1016/j.cropro.2011.11.009
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