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STABILITY ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF DENGUE HEMORRHAGIC FEVER WITH THE INFLUENCE OF TREATMENT AND FOGGING Puspita, Kharisma Galuh; Abadi, Abadi
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 3 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n3.p318-327

Abstract

Dengue hemorrhagic fever is an infectious disease caused by the dengue virus and transmitted by mosquito bites that has spread rapidly to all regions of the world in recent years. One of the efforts to eradicate mosquitoes that cause dengue fever is by fogging or fumigation. In addition, a treatment is also needed for dengue sufferers because there is no special drug or reliable vaccine and treatment can only be done symptomatically. In this study, a mathematical model of dengue spread will be constructed with the influence of treatment and fogging by dividing into two populations, namely humans and mosquitoes in the human population consisting of four groups, namely susceptible humans ( Sh) / Susceptible, infected humans ( Ih) / Infected, treated humans (Th ) / Treated, cured humans (Rh ) / Recovered. The mosquito population consists of two groups, namely susceptible mosquitoes (Sh ) / Susceptible and infected mosquitoes (Ih )/ Infected. The model in this study determined disease-free and endemic equilibrium points. Next, find the basic reproduction number or and analyze the stability of the disease-free equilibrium point obtained if R0< 1 then the disease-free equilibrium point is asymptotic stable if all eigenvalues are negative, then the endemic equilibrium point is asymptotic stable and the last step is numerical simulation with Matlab 2017b software with parameters according to relevant references or research. Keywords: DHF, Epidemic Model, Treatment, Fogging, Equilibrium point, Stability Analysis, Basic Reproduction Number
Dynamics of Prey-Predator Interaction with Type II Holling Response Function, Additional Food, and Anti-Predator Behavior Aufaniyah, Nafa Lingga; Abadi, Abadi
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 3 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n3.p422-433

Abstract

This study discusses the interaction model of prey-predator in the presence of additional food and the ability of anti-predator behavior on prey using the type II Holling response function. This research is carried out starting from the study of the literature, contructing models, determining equilibrium points, analyzing equilibrium points, numerical simulation, and drawing conclusion. From the results of the model analysis, four equilibrium points were obtained, namely the extinction of the two unstable populations, the extinction of predators, and two points with the existence of both stable populations with conditions. Based on the results of the analysis carried out, there is a change in the system solution from the limit point which is the boundary point and , then it is continued to the right to produce two point solutions, namely, point is stable to the Hopf bifurcation point when A = 0.239884 and is unstable until A = 0.147059. after the hopf bifurcation there is a change in stability to become unstable which coincides with a stable limit cycle. The simulation results show that additional food affects the stability of prey and predators even though there is anti-predator behavior on prey.
REPRESENTASI PIKTORIAL TUNANETRA TIDAK SEJAK LAHIR BERDASARKAN MODEL PEMROSESAN INFORMASI: Pictorial Representation Of Blind People Not From Birth Based On Information Processing Model Mutmainah, Siti; Siswono, Tatag Yuli Eko; Abadi, Abadi
Aksioma Vol. 13 No. 1 (2024): AKSIOMA
Publisher : Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/aksioma.v13i1.4356

Abstract

This study used a 14-year-old male student whose criteria were not to be blind from birth without any other defects. A hard blow to the head back is caused the student's disability. Pupils with disabilities no longer attend regular primary school from IV class onwards. This study aims to determine the process of pictorial representation of right triangles based on information processing models. This type of research is descriptive and explorative with a qualitative approach. This study uses the main instrument and the supporting instruments. Here, students are asked to perform mathematic assignments and then interviewed, and all activities performed are analyzed using observation sheets. Data analysis was performed with three activities: data condensation, data presentation, and conclusion and verification. The results of the study show that blind students can make pictorial representations. Creating images can be seen in students' activities in completing mathematical assignments. Information or external stimuli enter the sensory register through the senses of hearing and touch, after which attention and perception arise. Perception by retrieving the necessary concepts from long-term memory. When retrieving process, students experience moments of forgetting, and then they repeat the parts of a right-angled triangle until they finally have a correct right-angled triangle.
Co-Authors , APRILINA Agustina, Windi Aisyah, Ivon Tressyta Nanda Ariansyah, Dedek Atik Wintarti, Atik Aufaniyah, Nafa Lingga B. R., Endah Budi Priyo Prawoto Dewi, Mifta Kharisma Dhany Fachrudin, Achmad DIAN SAVITRI EKAWATI NINGRUM, RETNO ENDANG SUSANTINI Fachry Abda El Rahman Fujii, Hiroki Ginting, Rossiana Br Hanifah, Aisyiah Kholifatul Haries, Elena M. D. P. Hariyono, Eko I Ketut Budayasa Kusrini Kusrini LAUNY PUTRI SINULA, AWAL Liliasari , Mahfuz, Abdul Latif Manuharawati MASRIYAH Musdiani Musdiani PATMA SARI, SHINTA Pradana, Raditya Bagus Gilang Pradnyo Wijayanti Pramanda, Heru Puspita, Kharisma Galuh PUTRI, INTAN DWI MARITA Putri, Laras Kinanti Rambat Nur Sasongko Riza Oktariana ROSELLIA, FANIA RUDIANTO ARTIONO, RUDIANTO RUSLY HIDAYAH Sari, Aviv Puji Indah Satria Prayudi Siti Saadah Sriantini, Ari TAMBUNAN, ADELINA Tatag Yuli Eko Siswono Wahana, Nadhilah Putri Wijaya, Agus Fani Candra YUNI SRI RAHAYU Yusuf, Hambali