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A Mathematical Model of Microplastic Spreading into Fish Digestive Based On Abiotic Factor

Jurnal Fourier 2021
Zani Anjani Rafsanjani Hsm, Nurul Suwartiningsih, Ichsan I Luqmana

Summary

This study developed a mathematical model to describe how microplastics spread into fish digestive systems based on abiotic river factors including temperature, acidity, and microplastic concentration in the water. Fish from seven locations in Yogyakarta, Indonesia were sampled to test the model.

Body Systems
Study Type Environmental

Dalam penelitian ini, kami mengamati ikan dari tujuh lokasi sungai yang berbeda di Yogyakarta dengan mengevaluasi berat pencernaannya. Penebaran mikroplastik pada saluran pencernaan ikan dilakukan berdasarkan faktor abiotik seperti suhu sungai, keasaman, dan butiran mikroplastik aliran sungai untuk dibawa ke saluran pencernaan ikan. Kadar mikroplastik dalam tubuh ikan dapat dideskripsikan secara matematis menggunakan persamaan diferensial. Kami membangun model berdasarkan diagram aliran hubungan antara masing-masing variabel. Jadi kami memiliki sistem diferensial sebagai model. Pada langkah selanjutnya kami menganalisis model secara analitis. Untuk menunjukkan keakuratan model, kami membuat simulasi menggunakan simulasi data ke sistem dan membandingkannya dengan hasil komputasi menggunakan data observasi. Di akhir penelitian, kami memberikan justifikasi untuk faktor abiotik yang paling berpengaruh terhadap penyebaran mikroplastik. [In this research, we observe the fish from seven different river location on Yogyakarta by evaluating its digestive weight. We investigate the microplastics spreading on fish digestive based on the abiotic factor such as river temperature, acidity, and river flow microplastics granules to be carried into the digestive tract of the fish. The rate of microplastics in the fish body can be describe mathematically using differential equation. We build a model based on the diagram flow of the relationship between each variables. Thus we have a differential system as the model. In the next step we analyze the model analytically. To show the accurancy of the model, we make a simulation using data simulation to the system and we compare it with the computing results using observation data. At the end of our research, we give a justification for the most influential abiotic factor for microplastic sreading.]

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