Analisis Kestabilan Ekuilibrium dan Eksistensi Solusi Periodik Pada Model Mangsa Pemangsa Dengan Penyebaran Penyakit


Dani Suandi(1*), Fadilah ilahi(2), Erna Putri Utami(3)

(1) Scopus ID: 56646518100, Program Studi Komputer Akuntansi, Politeknik Piksi Ganesha, Indonesia
(2) UIN Sunan Gunung Djati Bandung,  
(3) ,  
(*) Corresponding Author

Abstract


Model matematika mangsa pemangsa (predator-prey) dimodifikasi pada artikel ini. Modifikasi dilakukan dengan melibatkan penyebaran penyakit dan tingkat kekebalan pada kompartemen pemangsa. Analisis kestabilan lokal dilakukan dengan melihat nilai eigen dari matriks Jacobi. Sementara itu, Kriteria Dulac-Bendicson digunakan sebagai metode dalam menganalisis eksistensi solusi periodik. Berdasarkan hasil analisis, solusi periodik dapat terjadi pada model tersebut. Simulasi numerik disajikan sebagai konfirmasi dari hasil analisis.


Keywords


Solusi periodik; kriteria Dulac-Bendixson; kestabilan ekuilibrium

References


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DOI: https://doi.org/10.15575/kubik.v4i2.6430

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