{"title":"A NARX-NN optimization algorithm for forecasting inflation during a potential recession period using longitudinal data","authors":"R. Arisanti, Sri YAHMA NURHASANAH","doi":"10.28919/cmbn/7932","DOIUrl":"https://doi.org/10.28919/cmbn/7932","url":null,"abstract":",","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":"1 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69240600","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
F. Yanuar, Tasya Abrari, A. Zetra, HG Izzatirahmi, D. Devianto, Syarifatul Ahda
{"title":"Examining regional factors on malnutrition rate in Indonesia using spatial autoregressive approach","authors":"F. Yanuar, Tasya Abrari, A. Zetra, HG Izzatirahmi, D. Devianto, Syarifatul Ahda","doi":"10.28919/cmbn/7955","DOIUrl":"https://doi.org/10.28919/cmbn/7955","url":null,"abstract":": The most frequent issues in malnutrition rate modeling analysis are skewed distribution and spatial autocorrelation. Previous researches were generally focused on spatial autocorrelation between neighboring regions or auto relationships between malnutrition rates and significant factors across different quantiles of the malnutrition rate distribution, but rarely both. This study aims to estimate how contributing factors influence the malnutrition rate. The estimation is carried out by implementing the spatial autoregressive (SAR) approaches, including ordinary SAR, Robust SAR and SAR Quantile (SARQ), using 2021 data from the Health Ministry of Indonesia. The result shows that the SARQ outperforms the SAR and the Robust SAR in data fitness and prediction accuracy. The SARQ is also insensitive to outliers and skewed distribution. Estimation using SARQ provides effects of explanatory variables vary with the quantiles, while SAR and RSAR cannot do","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":"1 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69241875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analysing the effect of trastuzumab treatment on breast cancer stages and cardiac function: A mathematical modeling and numerical simulation","authors":"Maryem EL Karchani, N. I. Fatmi, Karima Mouden","doi":"10.28919/cmbn/7970","DOIUrl":"https://doi.org/10.28919/cmbn/7970","url":null,"abstract":". Breast cancer is the second most common cause of death among women worldwide. Trastuzumab is the first humanised monoclonal antibody against HER2-positive metastatic breast cancer. However, the most serious side effect of trastuzumab is cardiotoxicity, which has become a limiting factor in the drug’s safe use. In this study, we investigated the effect of trastuzumab treatment on breast cancer stages and cardiac function. Therefore, we constructed a mathematical model based on breast cancer patients. The model was created using a differential equation system, and equilibrium point and stability analysis were employed to study the associated temporal dynamics. The stability of the equilibrium point was analysed using the Routh-Hurwitz criteria, which identified an asymptotically stable equilibrium point. To valudate these findings, numerical simulations were performed, which demonstrated that the equilibrium point is always stable regardless of the initial conditions. Finally, our results suggest that the five sub-populations of patients will reach a stable state upon reaching the equilibrium point.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":"1 9 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69242310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The dynamics of a stage-structure prey-predator model with hunting cooperation and anti-predator behavior","authors":"Dahlia Khaled Bahlool, 𝑦, −𝑦, 𝑤, 𝑑𝐿, 𝑤 −, Clearly, −𝛿, 𝛿, 𝐽, 𝐽𝑒","doi":"10.28919/cmbn/8003","DOIUrl":"https://doi.org/10.28919/cmbn/8003","url":null,"abstract":",","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":"1 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69245321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"New techniques to estimate the solution of autonomous system","authors":"Mahdi A. Sabea, Maha A. Mohammed","doi":"10.28919/cmbn/8079","DOIUrl":"https://doi.org/10.28919/cmbn/8079","url":null,"abstract":",","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":"1 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69246084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A study for fractional order epidemic model of COVID-19 spread with vaccination","authors":"","doi":"10.28919/cmbn/8214","DOIUrl":"https://doi.org/10.28919/cmbn/8214","url":null,"abstract":"In this paper, we present a fractional bi-modal SIT R mathematical model to study the Covid-19 spread in a human population under vaccination influence. The study depends on the stability of the disease-free and endemic equilibrium. To demonstrate the validity of the results, we give a numerical example. The results show that the infected and treatment subpopulations decrease if the susceptible subpopulations are vaccinated. Moreover, the recovered subpopulation increased.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135107139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Forecasting Indonesia mortality rate using beta autoregressive moving average model","authors":"","doi":"10.28919/cmbn/8184","DOIUrl":"https://doi.org/10.28919/cmbn/8184","url":null,"abstract":": The mortality rate serves as one measure of the health sector as well as a tool for identifying populations that should receive specific health and development programs. The mortality rate can be used to determine a nation's level of welfare and standard of living. The mortality rate also affects the pricing of insurance premiums, the calculation of the benefit reserve for annuity products, actuarial risk management, and pension plans. A model is required to predict the mortality rate in the future because it is a random variable that varies over time and is in the range of (0,1). The Beta Autoregressive Moving Average (βARMA) model is a development of Beta regression and can be used to model and forecast mortality rates. Based on data on Indonesia's annual death rates from 1960 to 2020, we constructed a βARMA model for forecasting Indonesia's mortality rate. The best βARMA model was selected using Akaike's Information Criterion (AIC) value, and forecasting accuracy was assessed using Root Mean Square Error (RMSE). For Indonesia's annual mortality rate data, the best βARMA model produces an RMSE value of 0.0001.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":"121 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135317675","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Pontryagin principle and optimal control of spreading COVID-19 with vaccination and quarantine subtype","authors":"","doi":"10.28919/cmbn/8157","DOIUrl":"https://doi.org/10.28919/cmbn/8157","url":null,"abstract":"A mathematical model is a beautiful and powerful way to depict the condition of epidemiological disease transmission. In this work, we used a nonlinear differential equation to construct a mathematical model of COVID-19. Nonlinear differential equation illustrates the spread of COVID-19 disease incorporating the vaccinated and quarantined subpopulations. A compartment of a model of COVID-19 disease was carried out involving several control variables and several biological assumptions. Applying the control variables to a mathematical model is the prevention of direct contact between infected and susceptible subpopulations, a vaccination control process, and an intensive handling of infected and quarantined populations. In the next section, an investigation of the positivity and boundedness of the solution COVID-19 disease, and an analysis of the existence and uniqueness of the solution was carried out. Then, the existence of the control variables involved in the mathematical model that has been designed is demonstrated. Furthermore, by applying the Pontryagin Principle to determine the optimal conditions and best values for each control variable that holds on. On the other hand, in addition to the mathematical analysis result, provides numerical simulations using MATLAB software as one of the steps in describing the behavior of the dynamical solution or the phase portrait. Finally, the last section shows that the optimal control condition carried out is able to reduce the density of infected and quarantined subpopulations, respectively. Hence, it is in line with the functional objective that has been constructed.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135402165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Asymptotic comportment of a stochastic SIQR model with mean-reverting inhomogeneous geometric Brownian motion","authors":"","doi":"10.28919/cmbn/8195","DOIUrl":"https://doi.org/10.28919/cmbn/8195","url":null,"abstract":"The object of this work is to analyze the dynamical behavior of an SIQR epidemic model incorporating the mean-reverting inhomogeneous geometric Brownian motion process (IGBM for short). As a first step, we prove that a global-in-time solution exists, and we show equally that it is unique and positive. Then, we find out an appropriate hypothetical framework leading to the existence of an ergodic stationary distribution. After that, we provide certain sufficient conditions for the disease’s exponential extinction, and we show that they match those of the deterministic version in this case. Finally, we outline some numerical simulation examples to back up our theoretical outcomes.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":"111 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135107771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A stability and optimal control analysis on a dengue transmission model with mosquito repellent","authors":"","doi":"10.28919/cmbn/8134","DOIUrl":"https://doi.org/10.28919/cmbn/8134","url":null,"abstract":"Dengue fever is a significant global disease that is transmitted by female mosquitoes, specifically the Aedes aegypti and Aedes albopictus species. As part of efforts to control the spread of this disease, the use of mosquito repellent has emerged as an alternative. This research presents an analysis of the stability and optimal control of a dengue transmission model incorporating the use of mosquito repellent. Dynamical analysis conducted to see the impact of the control reproduction number on the stability of the equilibrium points. We find that due to the limited treatment resources, the condition of control reproduction number less than one is not enough to guarantee the disappearance of dengue from the population. Optimal control simulation conducted to see the impact of mosquito repellent intervention to reduce dengue effectively under some specific scenario.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135497817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}