Model Predator-Prey dengan Dua Predator dan Satu Prey Terinfeksi

Irham Taufiq, Denik Agustito

Abstract


Di dalam penelitian ini, telah dibahas model matematika yang menunjukkan interaksi antara satu prey rentan dan prey terinfeksi dengan dua predator. Interaksi antara predator dan prey menggunakan fungsi respon Holling tipe II. Pertumbuhan predator dan prey menggunakan fungsi logistik. Dari model tersebut diperoleh delapan titik ekuilibrium. Kestabilan lokal masing-masing titik ekuilibrium dianalisis dengan metode linierisasi. Kemudian simulasi numerik menunjukan interaksi antara dua predator, prey rentan dan prey terinfeksi. 


Keywords


model predator-prey; prey terinfeksi; simulasi numerik; titik ekuilibrium

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References


Alebraheem, J & Abu-Hasan, Y. (2012). Persistence of predators in a two predators-one prey model with non periodic solution. Applied Mathematical Sciences, 6(19), 943 – 956.

Edwards, C. H., & Penney, D. E. (2008). Elementary Differential Quations (Sixth Edition). New York: Pearson Education, Inc.

Kar,T.K., Ghorai. A., & Jana, S.W. (2012). Dynamics of pest and its predator model with disease in the pest and optimal use of pesticide, fever epidemic through the use. American Journal of Theoretical Biology, 310: 187-198.




DOI: https://doi.org/10.31002/ijome.v1i1.887

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