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Performance of the supervised generative classifiers of spatio-temporal areal data using various spatial autocorrelation indexes 利用各种空间自相关指标对时空区域数据进行监督生成分类器的性能
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-02-22 DOI: 10.15388/namc.2023.28.31434
M. Karaliutė, K. Dučinskas
{"title":"Performance of the supervised generative classifiers of spatio-temporal areal data using various spatial autocorrelation indexes","authors":"M. Karaliutė, K. Dučinskas","doi":"10.15388/namc.2023.28.31434","DOIUrl":"https://doi.org/10.15388/namc.2023.28.31434","url":null,"abstract":"This article is concerned with a generative approach to supervised classification of spatio-temporal data collected at fixed areal units and modeled by Gaussian Markov random field. We focused on the classifiers based on Bayes discriminant functions formed by the log-ratio of the class conditional likelihoods. As a novel modeling contribution, we propose to use decision threshold values induced by three popular spatial autocorrelation indexes, i.e., Moran’s I, Geary’s C and Getis–Ord G. The goal of this study is to extend the recent investigations in the context of geostatistical and hidden Markov Gaussian models to one in the context of areal Gaussian Markov models. The classifiers performance measures are chosen to be the average accuracy rate, which shows the percentage of correctly classified test data, balanced accuracy rate specified by the average of sensitivity and specificity and the geometric mean of sensitivity and specificity. The proposed methodology is illustrated using annual death rate data collected by the Institute of Hygiene of the Republic of Lithuania from the 60 unicipalities in the period from 2001 to 2019. Classification model selection procedure is illustrated on three data sets with class labels specified by the threshold to mortality index due to acute cardiovascular event, malignant neoplasms and diseases of the circulatory system. Presented critical comparison among proposed approach classifiers with various spatial autocorrelation indexes (decision threshold values) and classifier based hidden Markov model can aid in the selection of proper classification techniques for the spatio-temporal areal data.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48627799","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bounded solutions and Hyers–Ulam stability of quasilinear dynamic equations on time scales 拟线性动力方程的有界解和Hyers-Ulam稳定性
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-02-22 DOI: 10.15388/namc.2023.28.31603
A. Reinfelds, D. Šteinberga
{"title":"Bounded solutions and Hyers–Ulam stability of quasilinear dynamic equations on time scales","authors":"A. Reinfelds, D. Šteinberga","doi":"10.15388/namc.2023.28.31603","DOIUrl":"https://doi.org/10.15388/namc.2023.28.31603","url":null,"abstract":"We consider the quasilinear dynamic equation in a Banach space on unbounded above and below time scales T with rd-continuous, regressive right-hand side.We define the corresponding Green-type map. Using the integral functional technique, we find a new simpler, but at the same time, more general sufficient condition for the existence of a bounded solution on the time scales expressed in terms of integrals of the Green-type map. We construct previously unknown linear scalar differential equation, which does not possess exponentially dichotomy, but for which the integral of the corresponding Green-type map is uniformly bounded. The existence of such example allows, on the one hand, to obtain the new sufficient condition for the existence of bounded solution and, on the other hand, to prove Hyers–Ulam stability for a much broader class of linear dynamic equations even in the classical case.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42470151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Finite-time lag projective synchronization of delayed fractional-order quaternion-valued neural networks with parameter uncertainties 具有参数不确定性的延迟分数阶四元数值神经网络的有限时滞投影同步
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-02-22 DOI: 10.15388/namc.2023.28.30817
Weiying Shang, Weiwei Zhang, Hai Zhang, Hongmei Zhang, Jinde Cao, F. Alsaadi
{"title":"Finite-time lag projective synchronization of delayed fractional-order quaternion-valued neural networks with parameter uncertainties","authors":"Weiying Shang, Weiwei Zhang, Hai Zhang, Hongmei Zhang, Jinde Cao, F. Alsaadi","doi":"10.15388/namc.2023.28.30817","DOIUrl":"https://doi.org/10.15388/namc.2023.28.30817","url":null,"abstract":"This paper discusses a class issue of finite-time lag projective synchronization (FTLPS) of delayed fractional-order quaternion-valued neural networks (FOQVNNs) with parameter uncertainties, which is solved by a non-decomposition method. Firstly, a new delayed FOQVNNs model with uncertain parameters is designed. Secondly, two types of feedback controller and adaptive controller without sign functions are designed in the quaternion domain. Based on the Lyapunov analysis method, the non-decomposition method is applied to replace the decomposition method that requires complex calculations, combined with some quaternion inequality techniques, to accurately estimate the settling time of FTLPS. Finally, the correctness of the obtained theoretical results is testified by a numerical simulation example.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43521388","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Modelling asthma development in a population with genetic risk and polluted environment 在有遗传风险和环境污染的人群中模拟哮喘的发展
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-02-22 DOI: 10.15388/namc.2023.28.31481
Betty K. Nabiyonga Kirenga, J. M. Kitayimbwa, J. Mugisha
{"title":"Modelling asthma development in a population with genetic risk and polluted environment","authors":"Betty K. Nabiyonga Kirenga, J. M. Kitayimbwa, J. Mugisha","doi":"10.15388/namc.2023.28.31481","DOIUrl":"https://doi.org/10.15388/namc.2023.28.31481","url":null,"abstract":"Environmental pollutant continues to pose a great threat to public health, leading to development of chronic diseases. In this study, a nonlinear mathematical model is formulated and analysed to study the effect of genetic risk, environmental pollutant, public health education/awareness on asthma development. Conditions for the existence of the unique positive steady state and permanence of the system are assessed. Using Lyapunov function analysis, the unique positive steady state is locally and globally asymptotically stable. Results reveal that genetic risk, pollutant emission rate, effective exposure rate of population to polluted environment and recurrence rate contribute to asthma prevalence. However, sufficiently effective pollutant reduction strategies, improvement in compliance to public health education/awareness together with human dependent environmental pollutant depletion lead to a marked reduction in disease prevalence.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42730122","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence theories and exact solutions of nonlinear PDEs dominated by singularities and time noise 奇异点和时间噪声支配的非线性偏微分方程的存在性理论和精确解
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-01-09 DOI: 10.15388/namc.2023.28.30563
M. O. Ahmed, R. Naeem, Muhammad Akhtar Tarar, M. S. Iqbal, M. Inc., Farkhanda Afzal
{"title":"Existence theories and exact solutions of nonlinear PDEs dominated by singularities and time noise","authors":"M. O. Ahmed, R. Naeem, Muhammad Akhtar Tarar, M. S. Iqbal, M. Inc., Farkhanda Afzal","doi":"10.15388/namc.2023.28.30563","DOIUrl":"https://doi.org/10.15388/namc.2023.28.30563","url":null,"abstract":"The current research deals with the exact solutions of the nonlinear partial differential equations having two important difficulties, that is, the coefficient singularities and the stochastic function (white noise). There are four major contributions to contemporary research. One is the mathematical analysis where the explicit a priori estimates for the existence of solutions are constructed by Schauder’s fixed point theorem. Secondly, the control of the solution behavior subject to the singular parameter ϵ when ϵ → 0. Thirdly, the impact of noise that is present in the differential equation has been successfully handled in exact solutions. The final contribution is to simulate the exact solutions and explain the plots.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41654045","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Global attractive set of neural networks with neutral item 具有中性项的全局吸引神经网络集
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-01-02 DOI: 10.15388/namc.2023.28.30517
Xili Wu, Liangwei Wang, Zhengwen Tu, Yuming Feng
{"title":"Global attractive set of neural networks with neutral item","authors":"Xili Wu, Liangwei Wang, Zhengwen Tu, Yuming Feng","doi":"10.15388/namc.2023.28.30517","DOIUrl":"https://doi.org/10.15388/namc.2023.28.30517","url":null,"abstract":"This paper investigates the global attractive set of neural networks with neutral item. To better deal with the neutral terms, different types of activation functions are considered. Based on matrix measures, inequality techniques, and Lyapunov theory, three new types of Lyapunov functions are designed to find the global attractive set of the system. We give out a simulation example to verify the validity of theory results. The result is very inclusive, whether the system has equilibrium or not. As long as the system is stable, we can find its global attractive set.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47921326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fractional uncertain differential equations with general memory effects: Existences and alpha-path solutions 具有一般记忆效应的分数阶不确定微分方程:存在性与α路径解
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2022-12-31 DOI: 10.15388/namc.2023.28.30479
Cheng Luo, Guo-cheng Wu, Lan-Lan Huang
{"title":"Fractional uncertain differential equations with general memory effects: Existences and alpha-path solutions","authors":"Cheng Luo, Guo-cheng Wu, Lan-Lan Huang","doi":"10.15388/namc.2023.28.30479","DOIUrl":"https://doi.org/10.15388/namc.2023.28.30479","url":null,"abstract":"General fractional calculus is popular recently. Fractional uncertain differential equations (FUDEs) with general memory effects are proposed in this paper. Firstly, existence and uniqueness theorems of solution for general fractional uncertain differential equations (GFUDEs) is presented, and the analytic solution of a linear one is given. Then the concept of α-path is introduced, and relationship between solution of GFUDE and corresponding α-path is also discussed. In addition, a theorem is proved to obtain the expected value of a monotonic function related to solutions of GFUDEs. Finally, a numerical example is given to better understand the significance of general memory effects. This paper provides more types of FUDEs to better describe some phenomena in uncertain environments.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46026544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence 一类具有一般非线性发生率的随机离散SIVS流行病模型的稳定性
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2022-12-23 DOI: 10.15388/namc.2023.28.29928
Buyu Wen, Z. Teng, Bing Liu
{"title":"The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence","authors":"Buyu Wen, Z. Teng, Bing Liu","doi":"10.15388/namc.2023.28.29928","DOIUrl":"https://doi.org/10.15388/namc.2023.28.29928","url":null,"abstract":"In this paper, based on Euler–Marryama method and theory of stochastic processes, a stochastic discrete SIVS epidemic model with general nonlinear incidence and vaccination is proposed by adding random perturbation and then discretizing the corresponding stochastic differential equation model. Firstly, the basic properties of continuous and discrete deterministic SIVS epidemic models are obtained. Then a criterion on the asymptotic mean-square stability of zero solution for a general linear stochastic difference system is established. As the applications of this criterion, the sufficient conditions on the stability in probability of the disease-free and endemic equilibria for the stochastic discrete SIVS epidemic model are obtained. The numerical simulations are given to illustrate the theoretical results.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42320794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Maximal elements and equilibria for generalized majorized maps 广义多数映射的极大元与平衡点
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2022-12-23 DOI: 10.15388/namc.2023.28.30227
D. O’Regan
{"title":"Maximal elements and equilibria for generalized majorized maps","authors":"D. O’Regan","doi":"10.15388/namc.2023.28.30227","DOIUrl":"https://doi.org/10.15388/namc.2023.28.30227","url":null,"abstract":"This papers presents new maximal element type results for general majorized type maps, and as an application, we consider equilibria for some one-person games.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42019054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Existence of positive solutions for third-order semipositone boundary value problems on time scales 时间尺度上三阶半正子边值问题正解的存在性
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2022-12-23 DOI: 10.15388/namc.2023.28.30229
Xinguang Zhang, Hui Tian, Yonghong Wu, B. Wiwatanapataphee
{"title":"Existence of positive solutions for third-order semipositone boundary value problems on time scales","authors":"Xinguang Zhang, Hui Tian, Yonghong Wu, B. Wiwatanapataphee","doi":"10.15388/namc.2023.28.30229","DOIUrl":"https://doi.org/10.15388/namc.2023.28.30229","url":null,"abstract":"In this paper, we consider the existence of positive solutions for a semipositone third-order nonlinear ordinary differential equation on time scales. In suitable growth conditions, by considering the properties on time scales and establishing a special cone, some new results on the existence of positive solutions are established when the nonlinearity is semipositone.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41920352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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