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All Journal HAYATI Journal of Biosciences CAUCHY: Jurnal Matematika Murni dan Aplikasi Jurnal Matematika & Sains Journal of Mathematical and Fundamental Sciences Jurnal Daya Matematis Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Communication in Biomathematical Sciences Jurnal Sains Dirgantara
Nuning Nuraini
Department of Mathematics, Institut Teknologi Bandung
Agriculture, Biological Sciences & Forestry Arts Humanities Astronomy Chemistry Earth & Planetary Sciences Education Mathematics Physics Social Sciences

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Journal : Journal of Mathematical and Fundamental Sciences

 1 
Dynamical Model for Transmission of West Nile Virus in Chicken-Mosquito Interaction Jafaruddin Hamid; Juni Wijayanti Puspita; Nuning Nuraini; Edy Soewono
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 3 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2014.46.3.7

Abstract

The West Nile virus (WNV) is transmitted through the bites of infected mosquitoes. The spread of WNV in chicken populations is quite unique. Although chickens can contract the virus through a mosquito bite, they immediately build immunity to the virus and do not show physical symptoms of illness and hence chickens are only temporary carriers of the virus. Recently, experimental results have shown that mosquitoes do not change fecundity behavior, yet results indicate that resistance to infection is associated with afitness cost in terms of mosquito survival. We constructed a host-vector type transmission model for WNV in mosquito-chicken populations. The basicreproductive ratio, Ro , was obtained. From sensitivity analysis of Ro it was shown that under certain conditions this ratio decrease "“ with an increase of the lifetime of mosquito infection.
Optimal Vaccination and Treatment Schedules in a Deterministic Avian influenza Model Nuning Nuraini; Tasmi Tasmi
Journal of Mathematical and Fundamental Sciences Vol. 48 No. 2 (2016)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2016.48.2.7

Abstract

In this study, a transmission model of the Avian influenza disease was developed and analyzedin view of optimization of vaccination and medical treatment. The model is a host-vector model. We focussed on control of Avian influenza, where a vaccination is given to susceptible poultry, while medical treatment is given to infected humans. In the model, the human population is divided into four compartments: susceptible humans, infected humans, recovered humans, and treated humans. Meanwhile, the poultry population is divided into three compartments: susceptible poultry, infected poultry, and vaccinated poultry. To analyze the dynamical behavior of the model, we obtained the disease-free equilibrium, the endemic equilibrium, and the basic reproduction ratio.Furthermore, a model of the optimal vaccination and medical treatment schedule was constructed to know the optimal strategy for controlling Avian influenza. The model can be used to determine the minimal cost of controlling the disease. The model is solved by a genetic algorithm method. Numerical simulations showed that effective control of Avian influenza can be achieved with a combination of vaccination and medical treatment. Likewise, the optimal schedule and strategy for controlling Avian influenza are shown.
Modelling Multiple Dosing with Drug Holiday in Antiretroviral Treatment on HIV-1 Infection Sutimin Sutimin; Nuning Nuraini; Faraimunashe Chirove; Lisyani Budipradigda Suromo
Journal of Mathematical and Fundamental Sciences Vol. 49 No. 1 (2017)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2017.49.1.1

Abstract

A within-host mathematical model to describe the dynamics of target cells and viral load in early HIV-1 infection was developed, which incorporates a combination of RTI and PI treatments by using a pharmacokinetics model. The local stability of uninfected steady state for the model was determined using an alternative threshold. The pharmacokinetics model was employed to estimate drug efficacy in multiple drug dosing. The effect of periodic drug efficacy of pharmacokinetic type on outcome of HIV-1 infection was explored under various treatment interruptions. The effectiveness of treatment interruption was determined according to the time period of the drug holidays. The results showed that long drug holidays lead to therapy failure. Under interruption of treatments combining RTI and PI therapy, effectiveness of the treatment requires a short duration of the drug holiday. 
Co-Authors Anita Triska Apri, Mochamad Apri, Mochamad Arcede, Jayrold P. Bunga, Esther Yolandyne Deana Wahyuningrum Edy Soewono Edy Soewono Edy Soewono Fakhruddin, Muhammad Faraimunashe Chirove Farida Fauzi, Ilham Saiful Glenn Lahodny Jr. Hakim L. Malasan Heni Widayani Hilda Fahlena I Gusti Bagus Wiksuana indah nursuprianah, indah Jafaruddin Hamid Juni Wijayanti Puspita Kamal Khairudin Kamal Khairudin Sukandar Karunia Putra Wijaya Khairudin, Kamal Kusdiantara, Rudy Lisyani Budipradigda Suromo Mharta A. Wardana Mia Siti Khumaeroh Mochamad Apri Mona Zevika Muhammad Fakhruddin Muhammad Fakhruddin Muhammad Fakhruddin Nadia Novriana Sumarti Novriana Sumarti Nursanti Anggriani Retno Wahyu Dewanti Rizqina, Sila Rudy Kusdiantara Saputro, Suhadi Wido Seprianus Septyawan, Stefanus Raynaldo Shaumi, Nurina Fadlila Sudirman Sukandar, Kamal Khairudin sutimin sutimin Syukriyah, Yenie Tasmi Tasmi Tay, Chai Jian Tjandra Anggraeni Tri W. Hadi Ulfa, Rezky Maya Vania Mene Risriani Widianto, Wisnu Prasojo Widya Oktaviana Wijaya, Karunia Putra Wirdatul Aini Yenie Syukriyah Yudi Rosandi Zikri, Afdol