{"title":"Analysis of a vector preference model for potato virus Y transmission","authors":"","doi":"10.28919/cmbn/8160","DOIUrl":"https://doi.org/10.28919/cmbn/8160","url":null,"abstract":"Potato virus Y (PVY) is one of the most common widespread vector-borne transmission diseases through aphids. In recent years, biologists have focused on the effect of vector preference to the spread of PVY. In this paper, according to transmission mechanism of PVY, a mathematical model of a vector-borne disease including preference behavior and vertical transmission of vector is formulated. The basic reproduction number R0 is calculated by using the next generation matrix method. The existence of a backward bifurcation presents a further sub-threshold condition below R0 for the spread of the disease by theoretical and numerical analysis. Numerical simulations suggest that vector preference plays an important role in the spread of PVY.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":"47 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":"135914517","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 comprehensive study of optimal control model simulation for COVID-19 infection with respect to multiple variants","authors":"A. Venkatesh, M. A. Rao, D. Vamsi","doi":"10.28919/cmbn/8031","DOIUrl":"https://doi.org/10.28919/cmbn/8031","url":null,"abstract":". The COVID-19 virus is still spreading around the world. Several SARS-CoV-2 variants have been identified during this COVID-19 pandemic. In this study, we present a compartmental mathematical model using ordinary differential equations to investigate the impact of four different SARS-CoV-2 variants on the transmission of SARS-CoV-2 across India. The proposed mathematical model incorporates the alpha variant, beta variant, gamma variant, and delta variant subpopulations apart from the typical susceptible, exposed, recovered, and dead subpopulations. As part of the India pandemic, we used the model to determine the basic reproduction number ( R 0 ) and the daily rates of infection, death, and recovery for each strain. Sensitivity analysis is employed to comprehend the influence of estimated parameter values on the number of infections that result in four variants. Then, using vaccine and therapy as the control variables, we define and analyse an optimum control problem. These optimal controls are described by the Pontryagin’s Minimal Principle. Results showed that the combination of vaccination and treatment strategies was most efficient in minimizing infection and enhancing recovery. The cost-effectiveness analysis is used to determine the best control strategy to minimize infected individuals.","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":"69245537","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 Fractional dynamics model of hepatitis B disease spread under influence of campaign and treatment","authors":"Muhafzan","doi":"10.28919/cmbn/8085","DOIUrl":"https://doi.org/10.28919/cmbn/8085","url":null,"abstract":". In this work, we present a fractional dynamic model to describe the spread of Hepatitis B disease in human population under influence of campaign and treatment parameters. It was shown that the stability of disease-free equilibrium and disease endemic equilibrium depend on the basic reproduction number. These results are in accordance with the epidemic theory. A numerical example is given to demonstrate the validity of the results. The results show that the media campaigns and treatment increase susceptible subpopulations, reduce infectious ones, and increase recovered subpopulations, thus the model gives adequate information about the spread of the Hepatitis B virus.","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":"69245754","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}
R. Pontoh, Soffy Mulyani, Salma Zhahira, Octavia Aulia Wiratama, Mohamad Naufal Farras, R. Arisanti
{"title":"Mapping Indonesian potential fishing zone using hierarchical and non-hierarchical clustering","authors":"R. Pontoh, Soffy Mulyani, Salma Zhahira, Octavia Aulia Wiratama, Mohamad Naufal Farras, R. Arisanti","doi":"10.28919/cmbn/8088","DOIUrl":"https://doi.org/10.28919/cmbn/8088","url":null,"abstract":": Indonesia, a maritime nation whose ocean area exceeds its land area, has an abundance of ocean-based natural resources, such as fish, seaweed, coral reefs, and other marine organisms. The fisheries industry is one of the potential sources of extraordinary marine resources for the Indonesian economy. The annual increase or decrease in fish production in Indonesia can be attributed to several factors, including natural influences such as climate and ocean waves, inadequate management of marine resources, unequal distribution of facilities to support increased fish production in Indonesia, and the characteristics of areas that have a significant impact on the resulting fish production. Consequently, the objective of this research is to classify provinces in Indonesia using clustering analysis so that government policy programs can be more focused and directed according to the characteristics of the clusters formed. The application of cluster analysis was based on the development of fish production data for each province in Indonesia from 2017 to 2019 obtained from the website of the Central Statistics Agency (BPS). Clustering analysis using hierarchical and non-hierarchical methods produces a dendrogram using the average linkage DTW hierarchical method, indicating the formation of two optimal clusters. Non-hierarchical clustering with two clusters produces the","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":"69245814","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":"Global stability of a delayed HIV-1 dynamics model with saturation response with cure rate, absorption effect and two time delays","authors":"N. Rathnayaka, J. Wijerathna, B. Pradeep","doi":"10.28919/cmbn/7877","DOIUrl":"https://doi.org/10.28919/cmbn/7877","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":"69239286","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":"Parameter estimation of Weibull distribution on type III censored survival data by maximum likelihood estimator method: Case study of lung cancer patient data at Dr. Kariadi Hospital Semarang","authors":"Ardi Kurniawan, Rendi Kurnia, Eko Rahmanta, Tjahjono","doi":"10.28919/cmbn/7937","DOIUrl":"https://doi.org/10.28919/cmbn/7937","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":"69240820","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}
Muhafzan, Narwen Ahmad Iqbal Baqi Zulakmal, A. G. Lestari, M. Oktaviani
{"title":"A fractional SITR model for dynamic of tuberculosis spread","authors":"Muhafzan, Narwen Ahmad Iqbal Baqi Zulakmal, A. G. Lestari, M. Oktaviani","doi":"10.28919/cmbn/7864","DOIUrl":"https://doi.org/10.28919/cmbn/7864","url":null,"abstract":". This work presents a fractional SITR mathematical model that investigates the Tuberculosis (TB) spread in a human population. It was shown that disease-free and endemic equilibrium stability depended on the basic reproduction number. These results are in accordance with the epidemic theory. A numerical example is given to demonstrate the validity of the results. The results show that the infected subpopulation increases in the absence of special treatment","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":"69239041","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":"Stability, bifurcation, and chaos control of predator-prey system with additive Allee effect","authors":"R. Ahmed, S. Akhtar, U. Farooq, S. Ali","doi":"10.28919/cmbn/7824","DOIUrl":"https://doi.org/10.28919/cmbn/7824","url":null,"abstract":". The current investigation focuses on the dynamics of a discrete-time predator-prey system with additive Allee effect. Discretization is accomplished by the use of a piecewise constant argument approach of differential equations. Firstly, we studied the existence and topological classification of equilibrium points. We then investigated existence and direction of period-doubling and Neimark-Sacker bifurcations in the system. Moreover, to control the chaos caused by bifurcation, we employ a hybrid control technique. Finally, all theoretical results are justified numerically","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":"423 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239113","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}
Sifriyani, AR Rum, Mia Sari, Andrea Tri, Rian Dani, S. Jalaluddin
{"title":"Bi-response truncated spline nonparametric regression with optimal knot point selection using generalized cross-validation in diabetes mellitus patient's blood sugar levels","authors":"Sifriyani, AR Rum, Mia Sari, Andrea Tri, Rian Dani, S. Jalaluddin","doi":"10.28919/cmbn/7903","DOIUrl":"https://doi.org/10.28919/cmbn/7903","url":null,"abstract":": This article discusses statistical modeling implemented in the health sector. This study used a bi-response nonparametric regression method with truncated spline estimation that used two response variables. The nonparametric regression method is used when the regression curve is not known for its shape and pattern. This study aims to model the blood sugar levels of people with diabetes mellitus. The data used are blood sugar levels of people with diabetes mellitus before fasting, blood sugar levels of people with diabetes mellitus two hours after fasting, cholesterol levels, and triglyceride levels. Determination of the optimal knot point using Generalized Cross-Validation. The parameter estimation method used is Weighted Least-Squares. The best model was obtained from the study results,","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":"69239219","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":"Optimal control and global stability of the SEIQRS epidemic model","authors":"M. Azoua, A. Azouani, I. Hafidi","doi":"10.28919/cmbn/7880","DOIUrl":"https://doi.org/10.28919/cmbn/7880","url":null,"abstract":". Medical treatment, vaccination, and quarantine are the most efficacious controls in preventing the spread of contagious epidemics such as COVID-19. In this paper, we demonstrate the global stability of the endemic and disease-free equilibrium by using the Lyapunov function. Moreover, we apply the three measures to minimize the density of infected people and also reduce the cost of controls. Furthermore, we use the Pontryagin Minimum Principle in order to characterize the optimal controls. Finally, we execute some numerical simulations to approve and verify our theoretical results using the fourth order Runge-Kutta approximation through Matlab","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":"69239509","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}