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Dynamical Analysis of a Fractional Order HIV/AIDS Model Septiangga Van Nyek Perdana Putra; Agus Suryanto; Nur Shofianah
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i1.3224

Abstract

This article discusses a dynamical analysis of the fractional-order model of HIV/AIDS. Biologically, the rate of subpopulation growth also depends on all previous conditions/memory effects. The dependency of the growth of subpopulations on the past conditions is considered by applying fractional derivatives. The model is assumed to consist of susceptible, HIV infected, HIV infected with treatment, resistance, and AIDS. The fractional-order model of HIV/AIDS with Caputo fractional-order derivative operators is constructed and then, the dynamical analysis is performed to determine the equilibrium points, local stability and global stability of the equilibrium points. The dynamical analysis results show that the model has two equilibrium points, namely the disease-free equilibrium point and endemic equilibrium point. The disease-free equilibrium point always exists and is globally asymptotically stable when the basic reproduction number is less than one. The endemic equilibrium point exists if the basic reproduction number is more than one and is globally asymptotically stable unconditionally. To illustrate the dynamical analysis, we perform some numerical simulation using the Predictor-Corrector method. Numerical simulation results support the analytical results.
Peran PGPR sebagai Bahan Ramah Lingkungan dalam kegiatan Pemberdayaan Kelompok Tani di Desa Pujon Kidul Agus Suryanto; Sudiarso Sudiarso; Paramyta Nila Permanasari; Santi Kusuma Fajarwati; Dewi Ratih Rizki Damaiyanti
JAPI (Jurnal Akses Pengabdian Indonesia) Vol 6, No 1 (2021)
Publisher : Universitas Tribhuwana Tunggadewi

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (188.355 KB) | DOI: 10.33366/japi.v6i1.2399

Abstract

Desa Pujon Kidul merupakan desa pertanian yang memiliki luas lahan pertanian sayur mencapai 2.513 hektar dan 0.3 hektar digunakan budidaya tanaman padi dengan ketinggian wilayah 1200 m. Penggunaan PGPR dan pupuk organik yang merupakan bahan ramah lingkungan oleh petani Desa Pujon Kidul masih sangat terbatas sehingga berpengaruh terhadap kesehatan masyarakat dan kualitas lingkungan. Kegiatan pengabdian masyarakat dilakukan oleh KJF Sumber Daya Lingkungan yang bertujuan untuk meningkatkan pemahaman kelompok tani terhadap aplikasi PGPR dalam kegiatan budidaya tanaman pangan. Metode yang digunakan yaitu dengan penyuluhan aplikasi PGPR kepada masyarakat Desa Pujon Kidul khususnya kelompok Tani Sari Agung dan pembuatan demplot. Luaran yang diharapkan yaitu 1) Pemahaman kelompok tani Sari Agung terhadap aplikasi PGPR tanaman cabai, dan 2) Pemahaman tentang teknologi budidaya tanaman cabai yang sehat. Kesimpulan dari kegiatan ini yaitu penyuluhan dan praktek penggunaan PGPR pada budidaya tanaman cabai membuka wawasan petani di Desa Pujon Kidul untuk menggunakan bahan ramah lingkungan, hal ini diperoleh dari kegiatan FGD (Forum group Discussion) dan data diperoleh melalui kuesioner. Rencana pengabdian kepada masyarakat selanjutnya dengan memberikan pendampingan pembuatan kebun bibit melalui metode pengomposan dan PGPR di Desa Pujon Kidul. Saran pelaksanaan kegiatan pengabdian kepada masyarakat yaitu perlu integrasi pengendalian hama pathogen terpadu pada budidaya tanaman cabai.
Numerical Study of Predator-Prey Model with Beddington-DeAngelis Functional Response and Prey Harvesting Fira Fitriah; Agus Suryanto; Noor Hidayat
Journal of Tropical Life Science Vol. 5 No. 2 (2015)
Publisher : Journal of Tropical Life Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11594/jtls.05.02.09

Abstract

A modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and Michaelis-Menten type prey harvesting is studied. The equilibrium points of the system are investigated. To see the stability of each equilibrium point, we perform some numerical simulations. Our numerical simulations show that the extinction of prey or survival of both prey and predator are conditionally stable.
The Artificial Bee Colony (ABC) Algorithm for Estimating Parameter of Epidemic Influenza Model Ririn Nirmalasari; Agus Suryanto; Syaiful Anam
The Journal of Experimental Life Science Vol. 10 No. 1 (2020)
Publisher : Postgraduate School, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1048.636 KB) | DOI: 10.21776/ub.jels.2019.010.01.06

Abstract

The Artificial Bee Colony (ABC) is one of the stochastic algorithms that can be applied to solve many real-world optimization problems. In this paper, The ABC algorithm was used to estimate the parameter of the epidemic influenza model. This model consists of a differential system represented by variations of Susceptible (S), Exposed (E), Recovered (R), and Infected (I). The ABC processes explore the minimum value of the mean square error function in the current iteration to estimate the unknown parameters of the model. Estimating parameters were made using participation data containing influenza disease in Australia, 2017. The best parameter chosen from the ABC process matched the dynamical behavior of the influenza epidemic field data used. Graphical analysis was used to validate the model. The result shows that the ABC algorithm is efficient for estimating the parameter of the epidemic influenza model. Keywords: ABC, Epidemic, Estimate, Influenza, Parameter.
Strategi Pengembangan Agrowisata Berbasis Tanaman Hias Di Desa Bokor Sitawati Sitawati; Agus Suryanto; Euis Elih Nurlaelih; Paramyta Nila Permanasari; Karuniawan Puji Wicaksono; Medha Baskara; Dewi Ratih Rizki Damaiyanti
JAPI (Jurnal Akses Pengabdian Indonesia) Vol 8, No 2 (2023)
Publisher : Universitas Tribhuwana Tunggadewi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33366/japi.v8i2.5107

Abstract

Desa Bokor memiliki potensi sebagai Desa Wisata berbasis pertanian dan bentang alam serta letak yang strategis pada jalur wisata. Pada pengabdian masyarakat sebelumnya sudah dilakukan peningkatan ketrampilan perbanyakan tanaman hias dan analisis TWIN dalam pengembangan Desa Wisata di Desa Bokor. Sehingga, dalam mendukung program desa sebagai Desa Wisata diperlukan lomba kreativitas dan edukasi edukasi tanaman hias untuk meningkatkan keindahan dan kualitas lingkungan Desa Bokor. Tujuan kegiatan Pengabdian Masyarakat adalah: 1) Memanfaatkan lahan kosong atau tegal kosong dan pekarangan untuk budidaya tanaman hias, 2) Meningkatkan kualitas lingkungan desa dan meningkatkan keindahan desa, dan 3) Menggiatkan dan memotivasi warga desa untuk mewujudkan Desa Wisata. Masyarakat mengetahui dan memahami teknologi budidaya tanaman hias, manfaat, dan luaran pada kegiatan ini adalah: a) Masyarakat mengetahui dan memahami teknologi budidaya tanaman hias, b) Masyarakat dapat mengoptimalkan lahan pekarangan untuk tempat budidaya tanaman hias, dan c) Masyarakat desa menjadi termotivasi untuk mewujudkan desa agrowisata.
Effect of Sugarcane Varieties and Milling Delay Time on Cane Sugar Yield Much Misbah Muhtadi; Sitawati Sitawati; Agus Suryanto
Jurnal Teknik Pertanian Lampung (Journal of Agricultural Engineering) Vol 13, No 2 (2024): June 2024
Publisher : The University of Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jtep-l.v13i2.506-511

Abstract

The quality of sugarcane decreases after harvesting so that it affects the yield and sugar production. The objective of this study was to determine the decline in sugarcane production and sugar yield in different varieties and milling delay time. This study used a split plot design consisting of three varieties (PS 881; PSJK 922; Bululawang) as the main plot and delay time (0; 2; 4 days) as sub plots with three replications so that 27 experimental units need to be provided. The observation parameters consisted of initial stalk weight, stalk weight after delay time, initial yield per hectare, yield per hectare after delay time, ºbrix, %pol, purity, cane yield and sugar yield. Results show that variety and delay time had an effect on stalk weight loss, juice quality, cane and sugar yield. PS 881 and PSJK 922 varieties showed better juice quality and higher cane and sugar yield compared to Bululawang varieties. Sugarcane with a delay time of up to 4 days showed lower stalk weight, juice quality, cane and sugar yield as compared to no delay time. The loss of stalk weight and yield of sugarcane at 2 days delaying time can reach 9.2% and 12.3% at 4 days delay time. Keywords: Delaying time, Juice quality, Sugarcane, Varieties.
Dynamics of Lumpy Skin Disease Model With Vaccination and Environmental Transmission Nia Nurkhanifah; Agus Suryanto; Isnani Darti
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i1.29969

Abstract

Lumpy skin disease (LSD) is one of the cattle diseases that can spread rapidly, it is caused by lumpy skin disease virus (LSDV). LSDV can spread through direct contact, insect vectors, and contaminated environments. In this article, we propose the dynamics of a lumpy skin disease model that contains seven compartments: susceptible cattle, vaccinated cattle, infected cattle, recovered cattle, susceptible vector, infected vector, and LSDV in the environment. The non-negativity and boundedness of the solution of the proposed LSD model are shown. There are two equilibrium points: the disease-free equilibrium point which always exists, and the endemic equilibrium point which exists conditionally. The disease-free equilibrium point is locally and globally asymptotically stable when the basic reproduction number is less than unity. The endemic equilibrium is locally asymptotically stable if the Lienard-Chipart criteria is satisfied. In addition, based on the sensitivity analysis, we find that the vaccination rate is the most sensitive parameter. All analytical results have been verified by our numerical simulations.