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Journal : Journal of Mathematics: Theory and Applications

Analisis Kestabilan Model Penyebaran Penyakit Antraks pada Populasi Ternak dengan Transmisi Tak Langsung dan Penggunaan Desinfektan Nur, Wahyudin; Renggawati, Rini; Dayasin; Nurfasilah; Alam, Syaherna; Yanti, Rista; Darmawati
Journal of Mathematics: Theory and Applications Vol 6 No 2 (2024)
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v6i2.3799

Abstract

Anthrax is an infectious disease caused by the bacterium Bacillus anthracis. This disease causes a fairly high mortality rate in livestock populations that can threaten food security in a region. Therefore, it is necessary to prevent and control its spread. This study aims to examine the model of the spread of anthrax disease in a livestock population by considering indirect transmission and the use of disinfectants. The constructed model is expressed as a system of ordinary differential equations. Dynamical analysis is carried out to identify the stability properties of the disease-free equilibrium point. The results of the dynamical analysis show that the disease-free equilibrium point is conditionally stable, namely when the basic reproduction number is less than one. In addition, the results of numerical experiments show that the use of disinfectants has a significant effect on the dynamics of the spread of anthrax disease, namely the higher the rate of bacterial death due to disinfectants, the fewer cases of anthrax. This study shows that the use of disinfectants can be an effective strategy to control the spread of anthrax disease in livestock populations.
Optimal Strategy and Cost Effectiveness Analysis for Conservation of The Endangered Maleo: A Mathematical Approach Darmawati; Nur, Wahyudin
Journal of Mathematics: Theory and Applications Vol 7 No 2 (2025): Volume 7, Nomor 2, 2025
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v7i2.5626

Abstract

Maleo is a large megapod found on the island of Sulawesi and surrounding islands and is an endangered species due to illegal hunting and habitat conversion. In this article, we propose a mathematical model for Maleo conservation. The model that is constructed is expressed as a system of ordinary differential equations consisting of five equations. To study the optimal strategy, we use optimal control theory. In our model there are three control parameters related to guarding Maleo nests, monitoring Maleo habitats, and transferring Maleo eggs to captivity. To measure the impact and the consequences of each intervention scheme, we determine the percentage increase in the Maleo population and the average cost-effectiveness ratio. Our results show that the most effective intervention scheme to increase Maleo populations is a combination of guarding Maleo nests, monitoring Maleo habitats, and transferring Maleo eggs to captivity. Meanwhile, the intervention scheme that has the best cost-effectiveness is the intervention scheme which is a combination of guarding Maleo nests and monitoring Maleo habitats.
Co-Authors . Hamsiah A Hadi Arifin AA Sudharmawan, AA Abd. Halim K, Abd. Abd.Rauf Abdul Halik Adinda Adinda Rahmasari Putri Ahyar, Mustafa Ainal Aida Fitri Aini Indrijawati Aiyub Alam, Syaherna Alauddin, La Ode Muhammad Amir, Muhammad Aswar Amiruddiin Amiruddin Anang Jumardi Anastasya Aghits Salsabil Andi Alisha Filia Amadia Andi Marshanawiah Andi Naurah Zahra Azhar Aninda Nissafitri Anwar, Asni Anwar, S.Pi., M.Si., Dr. Asni Ardianto Ariani ARIFUDDIN Arip Subiyanto Arta, Sri Aryati ASNAWI Aulia Nada Safira Az Zahara, Fatimah Bakri BANEA, AGNES EYNE Baso Amri Benhur Pakpahan Budi Utama, Muh Ilham Burhan Firdaus Chairil Akhyar Cornelia Marcheline Joham Cut Delyani Daffa Alfarrel Ghazali Dayasin Dewarawati P Deytizsa Putri Nur Azizah Diana Febrita Dodik Prasetyo Dohaman Siregar Dwi Masrurah, Ushwa Dzaky Setiawan Tauri Eka Jurnaditillah Eko Purnomo Erfina, Erfinawati Erlinawati Ewit Pratiwi Fajar Novriansyah Yasir Fajarna, Farah Farah Fajarna Fauzan Rio Sadewo Fazila Monivatu Zahda Febriyanti, Ekea Multi Fery Ale Lesmana Fira Fadhilla Firman Fithria Fitra Suzanti Fitri, Gita Fitriana Gunawan, Sahrul Habibillah, Isra Yusri Yanti Halim Hamsa Haris Trinanda Hasnidar Hasri Ainun Syahfir Hastuti Syahnita, Hastuti Herdah Heriyana HS, Rahmawati I Kadek Dwi Swarjana Ibrahim Qamarius Ica Nurhamidah Ikramuddin, Ikramuddin imran saputra Indrijawati, Aini Irmawati Irwan Abdul Kadir Irwana Wahab, Irwana Ismawirna Ivan Ramadhan Janwar, Muhammad Juanda, Juanda Jumiati Jusri Kadiati, Bahar Kaharuddin Kasman Kasman Khaeriyah, Andi KHOIRI Kohar, Yansen Pratama Kusumawati, Andi Lamhot Simanullang Laras Tri Andini Lidwina Sephia Fajariani Lilik Andaryuni Lubis, Nita Andriani M. Marthoenis M. Tahir Marbawi Mashun Yusuf Masni Masyithah Audina Mira Rizkia Muh. Akib D Muh. Jufri Muhabba, Iqrail Muhamad Fadli Muhamad Ikbal Muhammad Akmal Khatami Muhammad Akram Hamzah Muhammad Alif Rakannaufal Muhammad Azriel Alfarizie Muhammad Faathirrangga Muhammad Farrel Aziz Muhammad Fikri Romadhon Muhammad Ghiyats Akbar Darmawan Muhammad Hayani Muhammad Ilyas Muhammad Reizza Eduardi Y. Muhammad Ridho Abdillah Muhammad Rifky Muhammad Rizky Albaras Muhammad Saenal Muhammad Saleh Muhammad Yunus Amar Muliani Muliani Munandar, Wahyu Munawir Saharuddin Murni Murni, Mayang Mursyid Mursyid Djawas Mustadil, Dini Musyarif Mutahira Nur Insirat Mutia Ulfa Rahmad Mutia, Liza Nabilla Eka Putri Nada Cania Haryati Naza Riski Romah Doni Nicholas Widjaja Nirwana Noor Mukhammad Taufiqi Nova Fajri Nur Faliza Nur, Wahyudin Nurainun Nurdiansyah, Reza Nurfasilah Nurhafizah Nurhafizah Nurleni Nurul Fitrah Islamiah Nurwahidah, Rizky Pangraran, Fisca Mawa' Parintak, Sutrisno Pitria, Ni Gusti Ayu Puja Asrita Pulungan, Lilik Hidayat Putra Dwi Septian Putri, Ika Wahyuni Putri, Nur’aini Putri, Safridha Kemala Rahmaini, Desi Rahmat Rahmat Rahmawati Rahmayanti Ramadhan, Abd. Rani, Haerani Rasyid, Syarifuddin Ratu Anindya Rehulina Bangun Rendi Repaldi AR Renggawati, Rini Rico Nur Ilham Ririn Rizkaini, Dzul Asri Rizky Hidayatullah Roina, Roina Ronaldo Putra Satria6 Rosmiati, Karolina Rostina Rumagia, Faizal Rusydi Abubakar S. Nadra, Wawan Saddad Nabbil Saepudin Safridha Kemala Putri Safwan Sambu, Abdul Haris Samsudin Sandika Suryananta Santia Isabela saputra, imran Saputra, Nicholas Sartika Lina Mulani serdi Sirri Khairul Inayah Siti Hadijah Siti Hadijah Siti Hafizhah Sumadji Situmorang, Paska Ramawati Sri Wahyuni Nur Suardi Laheng, Suardi Sukman Sumiati Sundari SURYANTI Syafruddin, Lisa Syahbandi Syarifa Wahyuni Syarifah Wahyuni Syarifuddin Syarifuddin Rasyid Syauqi Asy Syuhada Tenny Tarnoto Teuku Zulkarnaen Titi Lasmini Tri Septiana Ratmaniarti Tri Wulandari Umirtu Vially Putra Prianto Wahidin, Ikhwan Wahyu Rifia Rizki Wahyudin HS WAHYUNI WARDHANI, SRI MURI DASA Wibowo L. S, Edi Yanti, Rista Yudha Yudhistira Yuliana Yuliana Zahid Sholahuddin Al Ayubi Zahra Amaliyah Elvira Zaikin, Muhammad Zaki Mahendra Zildjuan Adriel Tjahyadi Zuriani Zuriani Riski