MODEL MATEMATIKA MANGSA-PEMANGSA DENGAN SEBAGIAN MANGSA SAKIT
DOI:
https://doi.org/10.24014/sitekin.v10i2.533Keywords:
Model Mangsa-Pemangsa, Stabil Asimtotik, Titik kesetimbanganAbstract
Pada paper ini dijelaskan tentang model matematika mangsa-pemangsa dengan sebagian mangsa sakit, dan dengan laju penularan penyakit menggunakan persamaan non-liniear . Model mangsa-pemangsa ini mengasumsikan adanya mangsa sehat, mangsa sakit, dan pemangsa hanya memangsa mangsa sakit. Hasil yang diperoleh bahwa titik endemik model mangsa-pemangsa ini stabil asimtotik apabila .
References
Alebraheem, J. Dan Abu Hasan, Y. Persistence Of Predators In A Two Predators-One Prey Model With Non-Priodic Solution. School of mathematical Sciences USM, vol. 6, No. 19, 943-956.
Das, K.P. Mathematical A Study Of A Predator-Prey Dynamics With Diseases In Predator, Department Of Mathematis, India.
Hale, J. K. dan Kocak, H. Dynamic and Bifurcation, Springer-verlag, New York. 1991.
Kamel, Naji, R. Dkk, The Dynamics Of A Prey-Predator Model With The Existence Of Diseases And Pollution, University Of Sulalimania, Iraq, Vol.2013, hal. 1, 94-123, 2013.
Lenzimi, Ph. dan Rebaza, J., Non-Constant Predator Harvesting on Ratio-Dependent Predator-Prey Model, Departement of Mathematics, Vol. 4, No. 16, hal 791-803.
Meiss, J. D. Differential Dynamical Systems, Society for Industrial and Applied Mathematics, USA. 2007.
Perko, L. Differential Equations and Dynamical Systems, Springer-verlag, New York. 1991.
Rahma, Siti, Model Seir Penyakit Campak dengan Vaksinasi dan Migrasi, Tugas Akhir Mahasiswi Uin Suska Riau, Pekanbaru. 2009.
Widodo, Pengantar Model Matematika, FMIPA UGM, Yogyakarta. 2007.
Wuhaib, S. A. dan Abu Hasan, Y., A Prey Predator Model With Vulnerable Infected Prey, Applied Mathematical Sciences, Vol.6, 107, 5333-5348, 2012.
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License
Copyright Notice
An author who publishes in the SITEKIN Journal agrees to the following terms:
- Author retains the copyright and grants the journal the right of first publication of the work simultaneously licensed under the Creative Commons Attribution-ShareAlike 4.0 License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal
- Author is able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book) with the acknowledgement of its initial publication in this journal.
- Author is permitted and encouraged to post his/her work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of the published work (See The Effect of Open Access).
Read more about the Creative Commons Attribution-ShareAlike 4.0 Licence here: https://creativecommons.org/licenses/by-sa/4.0/.