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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika Mutiara Medika: Jurnal Kedokteran dan Kesehatan Medical Laboratory Technology Journal Saintifik : Jurnal Matematika, Sains, dan Pembelajarannya Griya Journal of Mathematics Education and Application Journal of Experimental and Clinical Pharmacy (JECP) Pengabdian Kampus: Jurnal Informasi Kegiatan Pengabdian Pada Masyarakat Pharmaceutical Sciences and Research (PSR) Barigas: Jurnal Riset Mahasiswa Journal of Mathematics, Computation and Statistics (JMATHCOS) Diophantine Journal of Mathematics and Its Applications
Widayati, Ratna
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Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Dentistry Economics, Econometrics & Finance Education Engineering Environmental Science Health Professions Immunology & microbiology Industrial & Manufacturing Engineering Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Neuroscience Nursing Physics Public Health Social Sciences Other

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Journal : Diophantine Journal of Mathematics and Its Applications

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Analisa Kestabilan Bebas Penyakit Model SITRS pada Penyebaran Diare Widayati, Ratna; Hamim Muntoha, Renal; Ma'rifah, Umi; Yulianti, Nita
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 1 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i1.33908

Abstract

This study discusses the spread of diarrhea accompanied by complications resulting in death among sufferers. It is assumed that people with diarrhea can transmit the disease to susceptible individuals. Additionally, deaths occurred due to diarrhea when treatment was not administered. Individuals who have contracted diarrhea may acquire temporary immunity and then become susceptible again. The model used is SITRS. Based on the model, disease-free equilibrium points and endemic equilibrium points are obtained. The analysis was conducted around the disease-free equilibrium point, and it was concluded that the disease-free equilibrium point is locally asymptotically stable if R0<1. Furthermore, based on the simulation results, it is shown that the model's solution tends towards a disease-free equilibrium point if R0<1. . This implies that diarrhea will disappear from the population at some point if the infection level R0<1. is met.
Co-Authors Adelia, Sirli Adryannoor, Muhammad Rafli Arif Rahman Jabal Arini Ratnasari Augustina, Indria Balyas, Abi Bakring Dian Mutiasari, Dian Eka Susilowati, Eka Elsa Trinovita Fatmaria, Fatmaria Frethernety, Agnes Hamim Muntoha, Renal Hanasia, Hanasia Handayani, Septi Kristiani, Friska Merilia Dwi Lestarisa, Trilianty Ma'rifah, Umi Maulia, Desi Rahma Mizan Ahmad Natalia Sri Martani Nita Yulianti, Nita Nugrahini, Sintha Nuha, Alya Firyal Nur Afandi Patricia, Tisha Permatasari, Silvani rachmawati, Ramya Rakhman, Farizky Ranintha br Surbakti Ranti, Dalia Reviladi, Intrada Rian Ka Praja Savitri, Dilasari Septri Damayanti Sibarani, Juliet Valeria Sitorus, Elisabeth Prihana Rotua Sofiyati, noor Toemon, Agnes Immanuela Turnip, Oktaviani Naulita