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All Journal Jurnal Matematika E-Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Innovative: Journal Of Social Science Research Jurnal Yudistira
Ketut Jayanegara
Mathematics Department, Faculty Of Mathematics And Natural Sciences , Universitas Udayana
Humanities Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Mechanical Engineering Physics Public Health Transportation Other

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Modeling and Analysis of the Dynamic Model of Bali Starling (Leucopsar Rothschildi) Breeding in West Bali National Park Gandhiadi, G. K.; Jayanegara, Ketut; Dharmawan, Komang
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 4 (2023): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i4.16313

Abstract

Antara, the official news agency of the state, reported a record-breaking population of 303 Bali starlings in the West Bali National Park (WBNP) in June 2020, attributing this achievement to the park's captive reproduction initiative. This paper presents a study on the dynamic equilibrium of Bali Starlings and proposes a mathematical model for analyzing this dynamic. The research also examines parameters ensuring the stability of the captive breeding model for Bali starlings in WBNP in a sustainable manner. The Bali starlings are categorized into two groups: those in the wild and those in captive breeding, with hatched eggs in captivity included in the latter. The dynamic model is analyzed for system stability around the endemic critical point using the Routh-Hurwitz stability criteria. As an illustrative example, a simulation is conducted to assess the model's suitability under real field conditions. The model analysis reveals that the existence of an endemic critical point can be maintained if the percentage of stolen Bali starlings or eggs reintroduced to the wild is less than the difference between the percentage of Bali starlings laying eggs and the population growth rate in WBNP. Furthermore, the stability of the endemic critical point is confirmed as long as the percentage of Bali starlings laying eggs exceeds the population growth rate. This dynamic model offers a valuable tool for evaluating the sustainability of Bali starling breeding programs and optimizing the benefits associated with their conservation efforts.  
Co-Authors AYU EKA FANNY DEVI Damayanthi, Ni Wayan Rita Darma Arnawa Desak Nyoman Trisnawati DINI AMALIA PUTRI Eka N Kencana EKA N. KENCANA EKA N. KENCANA EKA N. KENCANA G. K. GANDHIADI I GEDE HARDI KARMANA I GEDE PUTU MIKI SUKADANA I Gusti Ayu Made Srinadi I KOMANG GDE SUKARSA I KOMANG GEDE ANTARA I MADE CANDRA SATRIA I MADE WAHYU WIGUNA I Nyoman Widana I Putu Eka Nila Kencana I WAYAN SANDY BAYU NUGRAHA I Wayan Sumarjaya IA KOMANG MERIANI Ida Bagus Kade Puja Arimbawa K. KADEK BUDINIRMALA KADEK DITA SUGIARI Kencana, Eka N. Komang Dharmawan LAILY A.A. ARIFIANTI LUH PUTU IDA HARINI MADE EDI HENDRAWAN MADE PUTRI ARIASIH MADE SANJIWANI Made Susilawati NATALIE NOVENRODUMETASA NATASHA RANI BORU PURBA SIGUMONRONG Nhadya Almar Putri NI KETUT AYU MURNIASIH NI KOMANG SUKANASIH NI LUH DE SISKA SARI DEWI Ni Luh Putu Suciptawati Ni Made Asih NI NYOMAN AYU ARTANADI NI WAYAN ARNI YANITA NI WAYAN EKA SURYA ARTINI Ni Wayan Rita Damayanthi PUTU NOPITA PURNAMA NINGSIH PUTU OKA SURYA ARSANA RIZKA AULIA NOVALINDA SLAMET SAMSUL HIDAYAT ULFA DIANITA VICTOR MALLANG Wijayakusuma, I Gusti Ngurah Lanang ZANUAR SEPTYADI