ANALISA KESTABILAN MODEL PENYEBARAN PENYAKIT RABIES

  • Francis Y. Rumlawang Jurusan Matematika FMIPA Universitas Pattimura
  • Mario I. Nanlohy Jurusan Matematika FMIPA Universitas Pattimura
DOI: https://doi.org/10.30598/barekengvol5iss2pp39-44
Keywords: Eigenvalues, Equilibrium point, Jacobian-matrix, Rabies, SIR-models.

Abstract

Rabies is a dangerous disease that can cause death due to rabies virus attacks the spinal cord of the infected and can cause paralysis. But if it enters the limbic system or midbrain, it will cause aggression and loss of sense. The widespread dissemination of this disease is growth increasingly. This research will discuss about the model of the spread rabies and then analyze stability of this model by using simple epidemiological model to determine the initial equilibrium point and eigenvalues, which would be analyzed the stability of this model. This model has two main variables and , where is the susceptible and is the infectives. This research found the stability model at ( ) equilibrium point with the value of parameter is √ .

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References

Kallen, A., Arcuri, P., and Murray, J. D. 1985. A simple model for the spatial spread and control of rabies. Journal of Theoritical Biology, 337-393
Kot, Mark. 2001. Elements of Mathematical Ecology. Cambridge University Press. USA.
Madigan, M. T., Martinko J. M., Dunlap P. V., Clark D. P. (2009). Brock Biology of Microorganisms Twelfth Edition. hlm. 1003-1005.
Steele, JH; Fernandez, J. 1991. "History of Rabies and Global Aspects", di dalam Baer, GM, The Natural History of Rabies (edisi ke-2), Boca Raton, Florida: CRC Press, Inc., hlm. 1, ISBN 0849367603
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Published
2011-12-01
How to Cite
[1]
F. Rumlawang and M. Nanlohy, “ANALISA KESTABILAN MODEL PENYEBARAN PENYAKIT RABIES”, BAREKENG: J. Math. & App., vol. 5, no. 2, pp. 39-44, Dec. 2011.
Issue
Vol 5 No 2 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Section
Articles

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