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Journal : CAUCHY: Jurnal Matematika Murni dan Aplikasi

Optimal Control of Tungro Disease Spread by Considering Growth Phase and Roguing Control Amelia, Rika; Anggriani, Nursanti; Rosiman, Rosiman; Syarifudin, Abdul Gazir; Chairunnisa, Nadine Zahra; Manuela, Angellyca Leoni
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.36776

Abstract

Tungro disease poses a serious threat to rice cultivation, as it is caused by a viral infection transmitted by green leafhoppers. This study develops a mathematical model to describe the spread of tungro disease by incorporating plant growth phases and control measures such as roguing. The model divides the system into two subpopulations: plants (susceptible and infected in both vegetative and generative phases) and vectors (susceptible and infected). Dynamic analysis identifies two equilibrium conditions, namely a disease-free state and an endemic state. The disease-free equilibrium is stable when the basic reproduction number is less than one, whereas the endemic equilibrium becomes stable when the reproduction number exceeds one. Sensitivity analysis using the Partial Rank Correlation Coefficient method shows that the infectivity rate and the roguing rate are the most influential parameters affecting disease transmission. An optimal control framework based on Pontryagin’s Maximum Principle is then applied to determine the most effective roguing and vector control strategies. Simulation results indicate that applying roguing during the vegetative phase markedly reduces the number of infected plants and suppresses disease spread. These findings demonstrate that combining dynamic modeling, sensitivity analysis, and optimal control provides an effective and efficient strategy for managing tungro disease in rice crops.
Co-Authors A, Mohamad Fajar Abdul Gazir Syarifudin Adella, Reghina Afianto, Rizky Agustin, Nemia Ahmad Haromaini Amalia, Salsabila Anggreny, Yecy Annisa , Dea Annisa Rachmawati Anti, Tika Roro Azriyah, Azriyah B.A.P, Silvy Kanawanti Bupu, Regina Chairunnisa, Nadine Zahra Cordia, Petra Elvira Destiansari Fadia, Rahma Fahira, Diana Fauziah, Nita Arini Febiana, Via Guna, Bayu Cakra Habiburrohman, Muhammad Hafizd, Jefik Hakim, Moch. Abdul Malik Hanifah, Dinah Hasanah, Alfi Nur Hasibuan, Ahmad Rusdi Pasya Heris Hendriana Hia, Angel Christin Hidayana, Rizki Apriva Hilma Harmen Hindiarti, Yudita Ingga Karim, Noer M. Abdul Khan, Muhammad Fardeen Khasanah, Siti Zaidatul Kholipah, Nenden Siti Nur Loranty Folia Simanjuntak Maftucha, Nissa Manalu, RosarioTrijuliamus Manuela, Angellyca Leoni Marni, Erna Megantara, Tubagus Robbi Muh. Hasan Marwiji Muhamad Parhan Mulyo, Lukman Widoyo Muzayyin, Muzayyin Nahda, Najwa Nahda Nenden Siti Nurkholipah, Nenden Siti Nisa, Puspita Chairun Nisak, Siti Khoirun Normalia, Nita Noviyanti, Alinda Nur Aeni, Ani Nuraini, Sukaesih Intan Nurherawati, Irma Nurhidayah, Nita Nursanti Anggriani Nuryani Nuryani Oktaviani, Tabitha Pangaribuan, Hawila Sabta Pratama, Hendi Yoga Purnama S, Mei Linda Ratna Indriawati, Ratna Razek, Abdur Riska, Ifroh Naila Risma Amelia, Risma Rosiman, Rosiman Sa'adiyah, Imas Santi, Indriana Laila Saputri, Romadhiyana Kisno Septiani, Atikah Sihombing, Melati Siregar, Waidan Nur Sofyan, Rhisma Al-Vyanie Sri Fajar Br. Aritonang, Paulina Sulistiawati Suminar, Ratna Sunita Dasman Susanti, Fahmi Susy Amizera Syahira , Adella Devany Syahira, Adella Devany Wardani, Wanda Putriana Wiatiningsih, Neni Nuraeni Wibisono, Ian Ainun Widiyawati Widyawati, Inayah Yani’ Qoriati Yuningsih, Siti Hadiaty Yusnita Fitrianna, Aflich Zahira, Tira Al