MODEL DINAMIK INTERAKSI DUA POPULASI

  • FRANCIS YUNITO RUMLAWANG Jurusan Matematika FMIPA UNPATTI
  • TRIFENA SAMPELILING Jurusan Matematika FMIPA UNPATTI
DOI: https://doi.org/10.30598/barekengvol5iss1pp9-13
Keywords: Balanced solution, Equilibrium points, Phase plane, Predator-Prey, Trajectory

Abstract

A few phenomena are completely described by a single number. For example, the size of a population of rabbits can be represented using one number, but how to know the rate of population change, we should consider other quantities such as the size of predator populations and the availability of food. This research will discuss a model of the evolution from two populations in a Predator-Prey system of differential equations which one species “eats†another. This model has two dependent variables, where both of functions not hang up of times. A solution of this system will be show in trajectory in phase plane, after we get and know equilibrium points until this model be a balanced solution.

Downloads

Download data is not yet available.

References

Boyce, W. E. and R. C. DiPrima, (1986), Elementary Differential Equation And Boundary Value Problem, John Wiley and Sons, Inc., New York. Haberman, Richard, (1977), Mathematical Models, Penerbit Prentice-Hall, New Jersey. Rahardi, Rustanto, (2008), Model Interaksi Dua Spesies, Penerbit Center of Mathematics Education Development Universitas Islam Negeri Syarif Hidayatullah, Malang. Rumlawang, F. Y., (2010), Model Predator-Prey Modifikasi, Penerbit FMIPA UNPATTI, Ambon. Waluyo, S. B., (2006), Persamaan Diferensial, Penerbit Graha Ilmu, Yogyakarta.
file:///F:/Predator-Prey/hubungan-mangsa-pemangsa.html
file:///F:/Model%20Dua%20Spesies/Lotka%E2%80%93Volterra_equation.htm
Published
2011-03-01
How to Cite
[1]
F. RUMLAWANG and T. SAMPELILING, “MODEL DINAMIK INTERAKSI DUA POPULASI”, BAREKENG: J. Math. & App., vol. 5, no. 1, pp. 9-13, Mar. 2011.
Issue
Vol 5 No 1 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Section
Articles

Authors who publish with this Journal agree to the following terms:

  1. Author retain copyright and grant the journal right of first publication with the work simultaneously licensed under a creative commons attribution license that allow others to share the work within an acknowledgement of the work’s authorship and initial publication of this journal.
  2. Authors are able to enter into separate, additional contractual arrangement for the non-exclusive distribution of the journal’s published version of the work (e.g. acknowledgement of its initial publication in this journal).
  3. Authors are permitted and encouraged to post their work online (e.g. in institutional repositories or on their websites) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published works.