Advances in continuous and discrete models最新文献_第9页

Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical model. 温室气体和缺氧对水生物种数量的影响：分数数学模型。

IF 2.3

Advances in continuous and discrete models Pub Date : 2022-01-01 Epub Date: 2022-04-15 DOI: 10.1186/s13662-022-03679-8

Pushpendra Kumar, V Govindaraj, Vedat Suat Erturk, Mohamed S Mohamed

{"title":"Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical model.","authors":"Pushpendra Kumar, V Govindaraj, Vedat Suat Erturk, Mohamed S Mohamed","doi":"10.1186/s13662-022-03679-8","DOIUrl":"10.1186/s13662-022-03679-8","url":null,"abstract":"Study of ecosystems has always been an interesting topic in the view of real-world dynamics. In this paper, we propose a fractional-order nonlinear mathematical model to describe the prelude of deteriorating quality of water cause of greenhouse gases on the population of aquatic animals. In the proposed system, we recall that greenhouse gases raise the temperature of water, and because of this reason, the dissolved oxygen level goes down, and also the rate of circulation of disintegrated oxygen by the aquatic animals rises, which causes a decrement in the density of aquatic species. We use a generalized form of the Caputo fractional derivative to describe the dynamics of the proposed problem. We also investigate equilibrium points of the given fractional-order model and discuss the asymptotic stability of the equilibria of the proposed autonomous model. We recall some important results to prove the existence of a unique solution of the model. For finding the numerical solution of the established fractional-order system, we apply a generalized predictor-corrector technique in the sense of proposed derivative and also justify the stability of the method. To express the novelty of the simulated results, we perform a number of graphs at various fractional-order cases. The given study is fully novel and useful for understanding the proposed real-world phenomena.","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":"31"},"PeriodicalIF":2.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9010246/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142057442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On three-term conjugate gradient method for optimization problems with applications on COVID-19 model and robotic motion control. 三项共轭梯度法在COVID-19模型和机器人运动控制中的应用

Advances in continuous and discrete models Pub Date : 2022-01-01 DOI: 10.1186/s13662-021-03638-9

Ibrahim Mohammed Sulaiman, Maulana Malik, Aliyu Muhammed Awwal, Poom Kumam, Mustafa Mamat, Shadi Al-Ahmad

{"title":"On three-term conjugate gradient method for optimization problems with applications on COVID-19 model and robotic motion control.","authors":"Ibrahim Mohammed Sulaiman, Maulana Malik, Aliyu Muhammed Awwal, Poom Kumam, Mustafa Mamat, Shadi Al-Ahmad","doi":"10.1186/s13662-021-03638-9","DOIUrl":"https://doi.org/10.1186/s13662-021-03638-9","url":null,"abstract":"The three-term conjugate gradient (CG) algorithms are among the efficient variants of CG algorithms for solving optimization models. This is due to their simplicity and low memory requirements. On the other hand, the regression model is one of the statistical relationship models whose solution is obtained using one of the least square methods including the CG-like method. In this paper, we present a modification of a three-term conjugate gradient method for unconstrained optimization models and further establish the global convergence under inexact line search. The proposed method was extended to formulate a regression model for the novel coronavirus (COVID-19). The study considers the globally infected cases from January to October 2020 in parameterizing the model. Preliminary results have shown that the proposed method is promising and produces efficient regression model for COVID-19 pandemic. Also, the method was extended to solve a motion control problem involving a two-joint planar robot.","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":"1"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8724236/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10743904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 17

Uniform convergence guarantees for the deep Ritz method for nonlinear problems. 非线性问题的深里兹方法的一致收敛保证。

Advances in continuous and discrete models Pub Date : 2022-01-01 Epub Date: 2022-07-15 DOI: 10.1186/s13662-022-03722-8

Patrick Dondl, Johannes Müller, Marius Zeinhofer

引用次数: 7

A delayed plant disease model with Caputo fractional derivatives. 带有卡普托分数导数的延迟植物病害模型。

IF 2.3

Advances in continuous and discrete models Pub Date : 2022-01-01 Epub Date: 2022-01-29 DOI: 10.1186/s13662-022-03684-x

Pushpendra Kumar, Dumitru Baleanu, Vedat Suat Erturk, Mustafa Inc, V Govindaraj

{"title":"A delayed plant disease model with Caputo fractional derivatives.","authors":"Pushpendra Kumar, Dumitru Baleanu, Vedat Suat Erturk, Mustafa Inc, V Govindaraj","doi":"10.1186/s13662-022-03684-x","DOIUrl":"https://doi.org/10.1186/s13662-022-03684-x","url":null,"abstract":"We analyze a time-delay Caputo-type fractional mathematical model containing the infection rate of Beddington-DeAngelis functional response to study the structure of a vector-borne plant epidemic. We prove the unique global solution existence for the given delay mathematical model by using fixed point results. We use the Adams-Bashforth-Moulton P-C algorithm for solving the given dynamical model. We give a number of graphical interpretations of the proposed solution. A number of novel results are demonstrated from the given practical and theoretical observations. By using 3-D plots we observe the variations in the flatness of our plots when the fractional order varies. The role of time delay on the proposed plant disease dynamics and the effects of infection rate in the population of susceptible and infectious classes are investigated. The main motivation of this research study is examining the dynamics of the vector-borne epidemic in the sense of fractional derivatives under memory effects. This study is an example of how the fractional derivatives are useful in plant epidemiology. The application of Caputo derivative with equal dimensionality includes the memory in the model, which is the main novelty of this study.","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":"11"},"PeriodicalIF":2.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8799979/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142134628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The inhomogeneous p-Laplacian equation with Neumann boundary conditions in the limit p→∞documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} 极限p中具有Neumann边界条件的非齐次p-拉普拉斯方程→∞documentclass[12pt]｛minimal｝ usepackage｛amsmath｝ use package｛｛wasysym｝usepackage{amsfonts} usepackage{amssymb｝ userpackage{amsbsy｝usepackage｛mathrsfs｝ user package{upgeek｝setlength｛doddsidemargin｝｛-69pt｝

Advances in continuous and discrete models Pub Date : 2021-12-14 DOI: 10.1186/s13662-023-03754-8

Leon Bungert

引用次数: 1

A second-order low-regularity integrator for the nonlinear Schrödinger equation 非线性Schrödinger方程的二阶低正则积分器

Advances in continuous and discrete models Pub Date : 2021-09-02 DOI: 10.1186/s13662-022-03695-8

A. Ostermann, Yifei Wu, Fangyan Yao

引用次数: 8

Path classification by stochastic linear recurrent neural networks 随机线性递归神经网络的路径分类

Advances in continuous and discrete models Pub Date : 2021-08-06 DOI: 10.1186/s13662-022-03686-9

Y. Boutaib, Wiebke Bartolomaeus, Sandra Nestler, H. Rauhut

引用次数: 1

Operator compression with deep neural networks 算子压缩与深度神经网络

Advances in continuous and discrete models Pub Date : 2021-05-25 DOI: 10.1186/s13662-022-03702-y

Fabian Kröpfl, R. Maier, D. Peterseim

引用次数: 9