Lotka Volterra Model Simulation for Rice-field Rat and Tyto Alba Owls in Sumpiuh District, Banyumas Regency, Central Java

https://doi.org/10.22146/agritech.46456

Reza Kusuma Nurrohman(1*), Ardiansyah Ardiansyah(2), Bayu Dwi Apri Nugroho(3)

(1) Department of Agricultural and Biosystem Engineering, Faculty of Agricultural Technology, Universitas Gadjah Mada, Jl. Flora No. 1, Bulaksumur, Yogyakarta 55281
(2) Department of Agricultural Engineering, Faculty of Agriculture, Universitas Jenderal Soedirman, Banyumas
(3) Department of Agricultural and Biosystem Engineering, Faculty of Agricultural Technology, Universitas Gadjah Mada, Jl. Flora No. 1, Bulaksumur, Yogyakarta 55281
(*) Corresponding Author

Abstract


Rice-field rat (Rattus argentiventer) is a rodent that has a high level of productivity. These animals attack rice plants from the vegetative to the generative phase. This research aimed to analyze and to predict the accuracy of the use of owls with mathematical equations model in Kebokura and Lebeng villages, Sumpiuh district. Lotka - Volterra and Competitive Lotka-Volterra models were used to predict the population dynamics of Owl (predator) and rice-field rats (prey), then Runge - Kutta numerical method was applied to analyze the population dynamics of predator and prey at a certain time. The results of the analyses using the Lotka – Volterra, Competitive Lotka - Volterra equations and simulation data, each graph data showed that the rats’ population was able to be maximally suppressed. Based on the analysis result, started with 24 owls and 1,689 rats, the rats’ population could be suppressed to 104 using Lotka – Volterra, and to 176 using the Competitive Lotka – Volterra model. Then in the first and second simulation, started with 50 and 100 owls and 1,689 rats, analysis using Lotka – Volterra and Competitive Lotka – Volterra showed that the rat population could be suppressed to as much as 126, 188 and 145, 189, respectively. Based on the analysis, it could be concluded that use of Serak Jawa owl strategy was able to reduce and stabilize the rat populations. Furthermore, the higher population of owls can prevent the population explosion of rats and can suppress the rat population to a lower number.


Keywords


Lotka – Volterra; rice-field rat; Runge – Kutta algorithm; Tyto alba owl

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References

Anonim. (2016). Umur Dari Hidup Burung Hantu. Website : http://lintasmetro.com /2016/11/24/umur-dari-hidup-burung-hantu/ (Accessed on 8 September 2017, at 21.45 WIB)

Agriculture Department. (2013). Pengendalian Tikus Sawah. Website: http://pangan. litbang.pertanian.go.id/berita-836-pengendalian-tikus-sawah.html. (Accessed on 8 September 2017, at 21.50 WIB)

Bernas Jogja. (2013). 7.200 Ha Lahan Diserang Tikus. Koran Bernas Jogja Sabtu pon 4 Desember 2013. Halaman 3.

Butcher J. C. (2008). Numerical Method for Ordinary Differential Equation (Second edition). British Library Cataloguing in Publication Data. Page 93 – 103. ISBN : 978-0-470-72335-7.

Catharina S. Siefken C. (2010). Seasonal Changes in The Tapetum Lucidum as and Adaption to Winter Darkness in Reindeer. University of Tromso : Faculty of Biosciences, Fisheries and Economics, Department of Arctic and Marine Biology.

Chitode J. S. (2010). Numerical Methods. Technical Publication Pune; Amit Residency India. Page 4-42.

Driesche, R. V., Mark H., & Ted C. (2009). Control of Pests and Weeds by Natural Enemies: An Introduction to Biological Control. John Wiley & Sons. Page 342.

Ducket, J. E. (1981). Barn Owls (Tyto alba) - a proven natural predator of rats in oil palm. In: Pushparajah, E & Chew Poh Soon (eds). the oil palm in Agriculture in the Eighties.Vol. 2: pp. 461 - 473. Kuala lumpur: Incorporated Society Plant.

Harris, M. (2002). "Tyto alba" (On-line), Animal Diversity Web. Accessed September 08, 2017 at http://animaldiversity.org/accounts/Tyto_alba/

Kumar A. K., & Ray A. (2006). Analysis of Adaptive Volterra Filters Alt LMS and RLS Algoritm. Department of Electronics and Communications Engineering. Thapar University, Patiala 147004 Punjab.

Lenton, G. M. (1980). Biological Control of Rats by Owl in Palm and Oter Plantation. Proceeding Symposium Small Mammals; Problem and Control Biotrap Special Publication. No. 12. 87 - 94 pp.

Lotka, A. J. (1925). Elements of physical biology. Baltimore: Williams & Wilkins Co.

Lundin, J., Petter O., & Vagberg, D. (2011). Modelling and Simulation. Computational Science and Engineering. Umea University

Morris, P. (1979). Rats in the diet of the Barn owl (Tyto alba). Journal of Zoology, 189, 540–545. doi: 10.1111/j.1469-7998.1979.tb03983.x

Nugroho, B. D. (2009). Diktat Kuliah Mx 211: Metode Numerik. Program Studi Matematika Fakultas Sains dan Matematika. Salatiga: Universitas Kristen Satya Wacana.

Ondum, E. P. (1953). Fundamentals of Ecology. Philadelphia: W. B. Saunders.

Pardosi, J. F., & Bambang, S. (2005). Dosis Efektif dan Waktu Kontak Rodentisida Contrac 0,005 terhadap Tikus Putih (Mus sp.) di Laboratorium Entomologi Poltekes Jakarta II.

Sipayung A., Desmier de Chenon R., Sudharto P. (1989). Natural enemies of leaf-eating Lepidoptera in Oil Palm Plantations, North Sumatra. Biotrop Spec. Publ., 36, 99 – 121.

Ruysschaert, Adji D., Rizwan Z., Gunung G., Ian S. (2011). Budidaya Kelapa Sawit di Lahan Tidur. Implikasinya terhadap aspek teknis, ekonomi, keanekaragaman hayati, iklim, hukum dan kebijakan. Medan: Yayasan Ekosistem Lestari (YEL).

Taylor, I. (2004). Barn Owls: Predator-prey Relationships and Conservation. Great Britain: Cambridge University Press. ISBN 978-0-521-54587-7.

Volterra, V. (1926). Variazioni e fluttuazioni del numero d'individui in specie animali conviventi. Mem. R. Accad. Naz. dei Lincei. Ser. VI, vol. 2.

Willson, W. (2010). Simulating Ecological and Evolutionary System in C. Duke University: Department of Zoology. Published by Cambridge University Press.

Winarto. (2018). Personal Communication. Sumpiuh District Agricultural Instructor Center. 16 January 2018.



DOI: https://doi.org/10.22146/agritech.46456

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