A predator-prey model of rice plant, sparrow, rat, and snake

Putu Veri Swastika, Ilyasa Pahlevi, Novrizal Ramdhani, Yesaya Putra Dappa Ole, Muhammad Fakhruddin


Rice is one of the most widely consumed food sources in Indonesia. The success of the rice harvest can be influenced by several factors, one of which is plant pests. This can threaten national food security. Predator-prey mathematical model can be constructed to explain the relationship between rice plants with plant pests. The predator prey model consist of ODE system describing 2 predators level one (rats and sparrows), 1 predator level two (snake) and prey (rice plants). In this model, nine equilibrium points are obtained with analysis of the behavior of the model at each of its equilibrium points. We successfully simulated the model using hypothetical parameters and the results are agrees with the analysis behavior. Several factors will make plant pest populations decrease even lost from the population is the natural death and interaction of rice with plant pests


Predator-prey model; Equilibrium; Eigen; Stability

Full Text:



https://www.bps.go.id/indicator/53/1498/1/luas-panen-produksi-dan-produktivitas-padi-menurut-provinsi.html diakses pada 01 Februari 2023

Anitasari, R.F. (2019). Agrarian law: Perspective of indonesian agricultural policies. South East Asia Journal of Contemporary Business, Economics and Law, 20 (4)

Ardestani, M. M. (2020). A brief overview of the rice pests and their Natural enemies in some rice-growing asian countries. Russian Agricultural Sciences, 46(4), 359–364.

Dawed, M. Y., Koya, P. R., and Goshu, A. T. (2014). Mathematical modelling of population growth: The case of logistic and von bertalanffy models. Open Journal of Modelling and Simulation. 2(4).

Mulyadi, H., Rochdiani, D and Hakim, D. L (2020). Analisis usahatani minapadi (studi kasus pada kelompok tani Fajar Jayamukti di Desa Jayamukti Kecamatan Leuwisari Kabupaten Tasikmalaya). Jurnal Ilmiah Mahasiswa Agroinfo Galuh, 7(1), 45-55.

Manueke, J., Assa, B. H and Pelealu, E. A. (2017). Hama-hama pada tanaman padi sawah (oryza sativa l.) di kelurahan Makalonsow Kecamatan Tondano Timur Kabupaten Minahasa. Jurnal Eugenia, 23(3). 120-127

Padilah, T. N., Sari, B. N., and Hannie, H. (2018). Model Matematis predator-prey tanaman padi, hama penggerek batang, tikus, dan wereng batang coklat di Karawang. PHYAGORAS: Jurnal Pendidikan Matematika, 13(1), 52-62

Sabrina, A and Yanuwiadi B. (2015). Persepsi masyarakat terhadap ular sebagai upaya konservasi satwa liar pada masyarakat Dusun Kopendukuh, Desa Grogol, Kecamatan Giri, Kabupaten Banyuwangi. J-Pal. 6(1), 42-47.

Streipert, S. H., Wolkowicz, G. S. K., and Bohner, M. (2022). Derivation and analysis of a discrete predator–prey model. Bulletin of Mathematical Biology, 84(7), 67.

Sun, Z., Liu, Z., Zhou, W., Jin, H., Liu, H., Zhou, A., Zhang, A., & Wang, M.-Q. (2016). Temporal interactions of plant—Insect—Predator after infection of bacterial pathogen on rice plants. Scientific Reports, 6(1), 26043.

Taufiq, I and Agustito D. (2020). Application of mathematical models two predators and infected prey by pesticide control in Nilaparvata Lugens Spreading in Bantul Regency. Indonesian Journal of Pure and Applied Mathematics, 2(1), 41-50

DOI: http://dx.doi.org/10.24042/djm.v6i1.16564


  • There are currently no refbacks.

Copyright (c) 2023 Desimal: Jurnal Matematika

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

  Creative Commons License
Desimal: Jurnal Matematika is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.