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Title: | Analisis Kestabilan Model Matematika Penularan Virus CLCuV pada Tanaman Kapas |
Other Titles: | Stability Analysis of the Mathematical Model of CLCuV Virus Transmission in Cotton Plants |
Authors: | Jaharuddin Kusnanto, Ali Maharani, Adinda Putri |
Issue Date: | 2024 |
Publisher: | IPB University |
Abstract: | Cotton leaf curl virus (CLCuV) atau virus keriting pada daun kapas
disebabkan oleh sekelompok virus dalam genus Begomovirus, yang disebarkan oleh
lalat putih (vektor) dan menimbulkan ancaman serius terhadap tanaman kapas.
Penelitian ini bertujuan untuk merekonstruksi model, menentukan titik tetap dan
bilangan reproduksi dasar, menganalisis kestabilan titik tetap, melakukan analisis
sensitivitas, dan melakukan simulasi numerik terhadap beberapa parameter.
Analisis kestabilan titik tetap ditentukan dengan menggunakan kriteria RouthHurwitz, Metode Castillo-Chaves, dan fungsi Lyapunov. Ada empat parameter
yang disimulasikan, yaitu laju penanaman kembali kapas, laju penambahan vektor,
laju infeksi kapas, dan laju infeksi vektor. Simulasi dilakukan dengan menggunakan
software Mathematica 12.1 untuk mengetahui pengaruh parameter-parameter
tersebut terhadap bilangan reproduksi dasar. Hasil simulasi menunjukkan bahwa
menurunkan keempat parameter tersebut menyebabkan penurunan nilai bilangan
reproduksi dasar, sehingga membuat penyakit hilang dari populasi. Cotton leaf curl virus (CLCuV) is caused by a group of viruses in the genus Begomovirus, which are spread by whiteflies (vectors) and pose a serious threat to cotton crops. This study aims to reconstruct the model, determine the equilibrium point and basic reproduction number, analyze the stability of the equilibrium point, conduct sensitivity analysis, and conduct numerical simulations of several parameters. Equilibrium point stability analysis is determined using the RouthHurwitz criterion, Castillo-Chaves Method, and Lyapunov function. Four parameters were simulated: cotton replanting rate, vector recruitment rate, cotton infection rate, and vector infection rate. Simulations were conducted using Mathematica 12.1 software to determine the effect of these parameters on the basic reproduction number. The simulation results show that reducing the four parameters causes a decrease in the value of the basic reproduction number making the disease disappear from the population. |
URI: | http://repository.ipb.ac.id/handle/123456789/134474 |
Appears in Collections: | UT - Mathematics |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Cover.pdf Restricted Access | Cover | 361.04 kB | Adobe PDF | View/Open |
G554190041_Adinda Putri Maharani.pdf Restricted Access | Fulltext | 1.2 MB | Adobe PDF | View/Open |
Lampiran.pdf Restricted Access | Lampiran | 484.9 kB | Adobe PDF | View/Open |
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