Kontrol Optimal Menggunakan A.aleyrodhis Penyebaran Penyakit Virus Kuning Pada Tanaman Terong
Abstract
Dalam penelitian ini dibahas model matematis penyebaran penyakit kuning pada tanaman terong dengan protectant. Kami berasumsi bahwa protectant menggunkan ekstrak nabati daun pukul empat dapat meningkatkan sistem imun tanaman terong muda. Kami menunjukkan nilai Basic Reproduction Number (BRN) dari transmisi penyakit tanaman. BRN dihitung dari nilai eigen terbesar dari Next generatin Matriks (NGM). Hasilnya menunjukkan bahwa jika , maka titik kesetimbangan endemik stabil, namun jika , maka titik ekuilibrium endemik menjadi tidak stabil. Kami juga membahas pengendalian kontrol optimal dari tanaman terong dan kutu kebul yang terinfeksi dengan mempertimbangkan pengobatan pencegahan menggunakan A.aleyrodhis yang bertujuan untuk mengurangi tanaman dan vektor yang terinfeksi dengan metode Pontrygain.. Hasil kontrol optimal menunjukkan A.aleyrodhis dapat mengurangi jumlah tanaman dan vektor yang terinfeksi dibandingkan tanpa kontrol.
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Ali, F., & Aprilia, R. L. (2018). Serangan virus kuning terong pada induksi ekstrak daun Clerodendrum japonicum dan Mirabilis jalapa. Agrovigor: Jurnal Agroekoteknologi, 11(2), 101–105.
Allen, L. J. S., Bokil, V. A., Cunniffe, N. J., Hamelin, F. M., Hilker, F. M., & Jeger, M. J. (2019). Modelling vector transmission and epidemiology of co-infecting plant viruses. Viruses, 11(12), 1–26. https://doi.org/10.3390/v11121153
Amelia, R., Mardiyah, M., Nahar, J., Anggriani, N., & Supriatna, A. K. (2019). Optimal control for the use of botanical fungicides in the spread of plant diseases. Journal of Physics: Conference Series, 1315(1). https://doi.org/10.1088/1742-6596/1315/1/012054
Anggriani, N., Mardiyah, M., Istifadah, N., & Supriatna, A. K. (2018). Optimal control issues in plant disease with host demographic factor and botanical fungicides. IOP Conference Series: Materials Science and Engineering, 332(1), 12036. https://doi.org/10.1088/1757-899X/332/1/012036
Anggriani, N, Putri, L. N., & Supriatna, A. K. (2015). Stability analysis and optimal control of plant fungal epidemic: An explicit model with curative factor. AIP Conference Proceedings, 1651(1), 40–47.
Anggriani, Nursanti, Yusuf, M., & Supriatna, A. K. (2017). The effect of insecticide on the vector of rice Tungro disease: Insight from a mathematical model. International Information Institute (Tokyo). Information, 20(9A), 6197–6206.
Ariyanti, N. A. (2012). Mekanisme infeksi virus kuning cabai (Pepper yellow leaf curl virus) dan pengaruhnya terhadap proses fisiologi tanaman cabai. Prosiding Seminar Biologi, 9(1).
Diekmann, O., Heesterbeek, J. A. P., & Roberts, M. G. (2010). The construction of next-generation matrices for compartmental epidemic models. Journal of the Royal Society Interface, 7(47), 873–885.
Friarini, Y. P., Witjaksono, W., & Suputa, S. (2016). Study of The Use Of Maize as Barrier Crop in Chili to Control Bemisia tabaci (Gennadius) Population. Jurnal Perlindungan Tanaman Indonesia, 20(2), 79–83.
Gunaeni, N., Setiawati, W., Murtiningsih, R., & Rubiati, T. (2008). Virus Kuning Dan Cara Pengendaliannya. www.balitsa.or.id
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Morales, F. J., & Anderson, P. K. (2001). The emergence and dissemination of whitefly-transmitted geminiviruses in Latin America. Archives of Virology, 146(3), 415–441.
Murwayi, A. L. M., Onyango, T., & Owour, B. (2017). Mathematical analysis of plant disease dispersion model that incorporates wind strength and insect vector at equilibrium. Journal of Advances in Mathematics and Computer Science, 1–17.
Prayogo, Y., & Bayu, M. S. Y. I. (2020). Biological control of Bemisia tabaci gennadius by using entomopathogenic fungi Aschersonia aleyrodis. IOP Conference Series: Earth and Environmental Science, 456(1), 0–8. https://doi.org/10.1088/1755-1315/456/1/012041.
Qiu, J., Song, F., Mao, L., Tu, J., & Guan, X. (2013). Time-dose-mortality data and modeling for the entomopathogenic fungus Aschersonia placenta against the whitefly Bemisia tabaci. Canadian Journal of Microbiology, 59(2), 97–101. https://doi.org/10.1139/cjm-2012-0569
Sari, K. P., & Sulistyo, A. (2018). Assessment of Soybean Resistance to Whitefly (Bemisia tabaci Genn.) Infestations. Pertanika Journal of Tropical Agricultural Science, 41(2), 825–832.
Sutarman, S. (2017). Dasar-Dasar Ilmu Penyakit Tanaman. UMSIDA Press.
[21] Tanik, J. (2018). Faktor-Faktor yang Mempengaruhi Produksi Usahatani Terong Ungu di Kelompok Tani Koko Naibate Desa Manunain A Kecamatan Insana. Agrimor, 3(3), 44–46.
Taufik, A. N., Berlian, L., Shavira, M. U., & Ramadhan, A. R. (2020). Analisis Keberadaan Virus Gemini Pada Tanaman Terung di Daerah Penancangan Kota Serang. Prosiding Seminar Nasional Pendidikan FKIP, 3(1), 494–501.
van Lenteren, J. C., & Fransen, J. J. (1994). Survival of the parasitoid Encarsia formosa after treatment of parasitized greenhouse whitefly larvae with fungal spores of Aschersonia aleyrodis. Entomologia Experimentalis et Applicata, 71(3), 235–243.
Xie, W., Liu, Y., Wang, S., Wu, Q., Pan, H., Yang, X., Guo, L., & Zhang, Y. (2014). Sensitivity of bemisia tabaci (Hemiptera: Aleyrodidae) to several new insecticides in China: Effects of insecticide type and whitefly species, strain, and stage. Journal of Insect Science, 14, 1–7. https://doi.org/10.1093/jisesa/ieu123
Ali, F., & Aprilia, R. L. (2018). Serangan virus kuning terong pada induksi ekstrak daun Clerodendrum japonicum dan Mirabilis jalapa. Agrovigor: Jurnal Agroekoteknologi, 11(2), 101–105.
Allen, L. J. S., Bokil, V. A., Cunniffe, N. J., Hamelin, F. M., Hilker, F. M., & Jeger, M. J. (2019). Modelling vector transmission and epidemiology of co-infecting plant viruses. Viruses, 11(12), 1–26. https://doi.org/10.3390/v11121153
Amelia, R., Mardiyah, M., Nahar, J., Anggriani, N., & Supriatna, A. K. (2019). Optimal control for the use of botanical fungicides in the spread of plant diseases. Journal of Physics: Conference Series, 1315(1). https://doi.org/10.1088/1742-6596/1315/1/012054
Anggriani, N., Mardiyah, M., Istifadah, N., & Supriatna, A. K. (2018). Optimal control issues in plant disease with host demographic factor and botanical fungicides. IOP Conference Series: Materials Science and Engineering, 332(1), 12036. https://doi.org/10.1088/1757-899X/332/1/012036
Anggriani, N, Putri, L. N., & Supriatna, A. K. (2015). Stability analysis and optimal control of plant fungal epidemic: An explicit model with curative factor. AIP Conference Proceedings, 1651(1), 40–47.
Anggriani, Nursanti, Yusuf, M., & Supriatna, A. K. (2017). The effect of insecticide on the vector of rice Tungro disease: Insight from a mathematical model. International Information Institute (Tokyo). Information, 20(9A), 6197–6206.
Ariyanti, N. A. (2012). Mekanisme infeksi virus kuning cabai (Pepper yellow leaf curl virus) dan pengaruhnya terhadap proses fisiologi tanaman cabai. Prosiding Seminar Biologi, 9(1).
Diekmann, O., Heesterbeek, J. A. P., & Roberts, M. G. (2010). The construction of next-generation matrices for compartmental epidemic models. Journal of the Royal Society Interface, 7(47), 873–885.
Friarini, Y. P., Witjaksono, W., & Suputa, S. (2016). Study of The Use Of Maize as Barrier Crop in Chili to Control Bemisia tabaci (Gennadius) Population. Jurnal Perlindungan Tanaman Indonesia, 20(2), 79–83.
Gunaeni, N., Setiawati, W., Murtiningsih, R., & Rubiati, T. (2008). Virus Kuning Dan Cara Pengendaliannya. www.balitsa.or.id
Hasyim, A., & Wiwin Setiawati, L. (2016). Kutu Kebul Bemisia tabaci Gennadius (Hemiptera: Aleyrodidae) Penyebar Penyakit Virus Mosaik Kuning pada Tanaman Terung. In Pusat Penelitian dan Pengembangan Hortikultura. Pusat Penelitian dan Pengembangan Hortikultura.
Karim, F. (2013). Respon Pertumbuhan dan Produksi Tanaman Terung (Solanum Melongena L.) Terhadap Perlakuan Pupuk Phonska. Skripsi, 1(613409009).
[13] Lenhart, S., & Workman, J. T. (2007). Optimal Control Applied to Biological Models (1st ed.). Chapman and Hall/CRC.
Meekes, E. T. M., Fransen, J. J., & van Lenteren, J. C. (2002). Pathogenicity of Aschersonia spp. against whiteflies Bemisia argentifolii and Trialeurodes vaporariorum. Journal of Invertebrate Pathology, 81(1), 1–11.
Morales, F. J., & Anderson, P. K. (2001). The emergence and dissemination of whitefly-transmitted geminiviruses in Latin America. Archives of Virology, 146(3), 415–441.
Murwayi, A. L. M., Onyango, T., & Owour, B. (2017). Mathematical analysis of plant disease dispersion model that incorporates wind strength and insect vector at equilibrium. Journal of Advances in Mathematics and Computer Science, 1–17.
Prayogo, Y., & Bayu, M. S. Y. I. (2020). Biological control of Bemisia tabaci gennadius by using entomopathogenic fungi Aschersonia aleyrodis. IOP Conference Series: Earth and Environmental Science, 456(1), 0–8. https://doi.org/10.1088/1755-1315/456/1/012041.
Qiu, J., Song, F., Mao, L., Tu, J., & Guan, X. (2013). Time-dose-mortality data and modeling for the entomopathogenic fungus Aschersonia placenta against the whitefly Bemisia tabaci. Canadian Journal of Microbiology, 59(2), 97–101. https://doi.org/10.1139/cjm-2012-0569
Sari, K. P., & Sulistyo, A. (2018). Assessment of Soybean Resistance to Whitefly (Bemisia tabaci Genn.) Infestations. Pertanika Journal of Tropical Agricultural Science, 41(2), 825–832.
Sutarman, S. (2017). Dasar-Dasar Ilmu Penyakit Tanaman. UMSIDA Press.
[21] Tanik, J. (2018). Faktor-Faktor yang Mempengaruhi Produksi Usahatani Terong Ungu di Kelompok Tani Koko Naibate Desa Manunain A Kecamatan Insana. Agrimor, 3(3), 44–46.
Taufik, A. N., Berlian, L., Shavira, M. U., & Ramadhan, A. R. (2020). Analisis Keberadaan Virus Gemini Pada Tanaman Terung di Daerah Penancangan Kota Serang. Prosiding Seminar Nasional Pendidikan FKIP, 3(1), 494–501.
van Lenteren, J. C., & Fransen, J. J. (1994). Survival of the parasitoid Encarsia formosa after treatment of parasitized greenhouse whitefly larvae with fungal spores of Aschersonia aleyrodis. Entomologia Experimentalis et Applicata, 71(3), 235–243.
Xie, W., Liu, Y., Wang, S., Wu, Q., Pan, H., Yang, X., Guo, L., & Zhang, Y. (2014). Sensitivity of bemisia tabaci (Hemiptera: Aleyrodidae) to several new insecticides in China: Effects of insecticide type and whitefly species, strain, and stage. Journal of Insect Science, 14, 1–7. https://doi.org/10.1093/jisesa/ieu123
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