Advances in Difference Equations最新文献_第2页

Existence and global asymptotic stability criteria for nonlinear neutral-type neural networks involving multiple time delays using a quadratic-integral Lyapunov functional. 利用二次积分Lyapunov泛函研究多时滞非线性中立型神经网络的存在性和全局渐近稳定性判据。

IF 4.1 3区数学

Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-02-17 DOI: 10.1186/s13662-021-03274-3

Yousef Gholami

引用次数: 7

The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation. 基于Riesz小波模拟分数阶导数模型的阿联酋COVID-19动态

IF 4.1 3区数学

Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-02-19 DOI: 10.1186/s13662-021-03262-7

Mutaz Mohammad, Alexander Trounev, Carlo Cattani

{"title":"The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation.","authors":"Mutaz Mohammad, Alexander Trounev, Carlo Cattani","doi":"10.1186/s13662-021-03262-7","DOIUrl":"https://doi.org/10.1186/s13662-021-03262-7","url":null,"abstract":"The well-known novel virus (COVID-19) is a new strain of coronavirus family, declared by the World Health Organization (WHO) as a dangerous epidemic. More than 3.5 million positive cases and 250 thousand deaths (up to May 5, 2020) caused by COVID-19 and has affected more than 280 countries over the world. Therefore studying the prediction of this virus spreading in further attracts a major public attention. In the Arab Emirates (UAE), up to the same date, there are 14,730 positive cases and 137 deaths according to national authorities. In this work, we study a dynamical model based on the fractional derivatives of nonlinear equations that describe the outbreak of COVID-19 according to the available infection data announced and approved by the national committee in the press. We simulate the available total cases reported based on Riesz wavelets generated by some refinable functions, namely the smoothed pseudosplines of types I and II with high vanishing moments. Based on these data, we also consider the formulation of the pandemic model using the Caputo fractional derivative. Then we numerically solve the nonlinear system that describes the dynamics of COVID-19 with given resources based on the collocation Riesz wavelet system constructed. We present graphical illustrations of the numerical solutions with parameters of the model handled under different situations. We anticipate that these results will contribute to the ongoing research to reduce the spreading of the virus and infection cases.","PeriodicalId":53311,"journal":{"name":"Advances in Difference Equations","volume":null,"pages":null},"PeriodicalIF":4.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13662-021-03262-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"25397852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 23

Discrete epidemic models with two time scales. 具有两个时间尺度的离散流行病模型。

IF 4.1 3区数学

Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-10-30 DOI: 10.1186/s13662-021-03633-0

Rafael Bravo de la Parra, Luis Sanz-Lorenzo

{"title":"Discrete epidemic models with two time scales.","authors":"Rafael Bravo de la Parra, Luis Sanz-Lorenzo","doi":"10.1186/s13662-021-03633-0","DOIUrl":"https://doi.org/10.1186/s13662-021-03633-0","url":null,"abstract":"The main aim of the work is to present a general class of two time scales discrete-time epidemic models. In the proposed framework the disease dynamics is considered to act on a slower time scale than a second different process that could represent movements between spatial locations, changes of individual activities or behaviors, or others. To include a sufficiently general disease model, we first build up from first principles a discrete-time susceptible-exposed-infectious-recovered-susceptible (SEIRS) model and characterize the eradication or endemicity of the disease with the help of its basic reproduction number <math><msub><mi>R</mi> <mn>0</mn></msub> </math> . Then, we propose a general full model that includes sequentially the two processes at different time scales and proceed to its analysis through a reduced model. The basic reproduction number <math> <msub><mover><mi>R</mi> <mo>‾</mo></mover> <mn>0</mn></msub> </math> of the reduced system gives a good approximation of <math><msub><mi>R</mi> <mn>0</mn></msub> </math> of the full model since it serves at analyzing its asymptotic behavior. As an illustration of the proposed general framework, it is shown that there exist conditions under which a locally endemic disease, considering isolated patches in a metapopulation, can be eradicated globally by establishing the appropriate movements between patches.","PeriodicalId":53311,"journal":{"name":"Advances in Difference Equations","volume":null,"pages":null},"PeriodicalIF":4.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8556850/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39864241","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 6

A fractional complex network model for novel corona virus in China. 中国新型冠状病毒分式复杂网络模型

IF 4.1 3区数学

Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-01-06 DOI: 10.1186/s13662-020-03182-y

H A A El-Saka, I Obaya, H N Agiza

引用次数: 4

Complexity analysis of cold chain transportation in a vaccine supply chain considering activity inspection and time-delay. 考虑活动性检验和时滞的疫苗供应链冷链运输复杂性分析

IF 4.1 3区数学

Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-01-09 DOI: 10.1186/s13662-020-03173-z

Daoming Dai, Xuanyu Wu, Fengshan Si

{"title":"Complexity analysis of cold chain transportation in a vaccine supply chain considering activity inspection and time-delay.","authors":"Daoming Dai, Xuanyu Wu, Fengshan Si","doi":"10.1186/s13662-020-03173-z","DOIUrl":"https://doi.org/10.1186/s13662-020-03173-z","url":null,"abstract":"The development of COVID-19 vaccine is highly concerned by all countries in the world. So far, many kinds of COVID-19 vaccines have entered phase III clinical trial. However, it is difficult to deliver COVID-19 vaccines efficiently and safely to the areas affected by the epidemic. This paper focuses on vaccine transportation in a supply chain model composed of one distributor and one retailer (clinic or hospital), in which the distributor procures COVID-19 vaccines from the manufacturer and then resells them to the retailer. Distributor detects the activity level of the vaccines, and retailer is responsible for transportation of the vaccines. Firstly, we establish a difference equations model with time-delay. Secondly, we investigate the impact of time-delay on the stability of vaccine supply chain. In addition, we explore the influence of decision adjustment speed of the distributor (or retailer) on the stability of vaccine supply chain. Finally, we verify the theoretical results by a two-dimensional bifurcation diagram, the largest Lyapunov exponent, entropy, and domain of attraction. The results show that when the decision delay-time or the adjustment speed of decision variables exceeds a certain threshold, it brings a negative impact on the stability of vaccine supply chain system. The stability domain of the system shrinks as customers' sensitivity to cold chain transportation decreases and by contrast expends as customers' sensitivity to vaccine prices decreases. When the vaccine supply chain is in a state of chaos, the effect of external control over the system is superior to that of internal control over the system.","PeriodicalId":53311,"journal":{"name":"Advances in Difference Equations","volume":null,"pages":null},"PeriodicalIF":4.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7794647/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38827589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 19

Fractional unit-root tests allowing for a fractional frequency flexible Fourier form trend: predictability of Covid-19. 分数阶单位根测试允许分数阶频率灵活的傅立叶形式趋势:Covid-19的可预测性。

IF 4.1 3区数学

Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-03-15 DOI: 10.1186/s13662-021-03317-9

Tolga Omay, Dumitru Baleanu

引用次数: 22

Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate. 具有非线性发病率的随机SIRV流行模型的消灭与持续。

IF 4.1 3区数学

Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-04-08 DOI: 10.1186/s13662-021-03347-3

Ramziya Rifhat, Zhidong Teng, Chunxia Wang

引用次数: 1

Analysis of Atangana-Baleanu fractional-order SEAIR epidemic model with optimal control. 具有最优控制的Atangana-Baleanu分数阶SEAIR流行病模型分析。

IF 4.1 3区数学

Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-03-19 DOI: 10.1186/s13662-021-03334-8

Chernet Tuge Deressa, Gemechis File Duressa

引用次数: 1

A fractional order epidemic model for the simulation of outbreaks of Ebola. 模拟埃博拉病毒爆发的分数阶流行病模型。

IF 4.1 3区数学

Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-03-10 DOI: 10.1186/s13662-021-03272-5

Weiqiu Pan, Tianzeng Li, Safdar Ali

{"title":"A fractional order epidemic model for the simulation of outbreaks of Ebola.","authors":"Weiqiu Pan, Tianzeng Li, Safdar Ali","doi":"10.1186/s13662-021-03272-5","DOIUrl":"https://doi.org/10.1186/s13662-021-03272-5","url":null,"abstract":"The Ebola outbreak in 2014 caused many infections and deaths. Some literature works have proposed some models to study Ebola virus, such as SIR, SIS, SEIR, etc. It is proved that the fractional order model can describe epidemic dynamics better than the integer order model. In this paper, we propose a fractional order Ebola system and analyze the nonnegative solution, the basic reproduction number <math><msub><mi>R</mi> <mn>0</mn></msub> </math> , and the stabilities of equilibrium points for the system firstly. In many studies, the numerical solutions of some models cannot fit very well with the real data. Thus, to show the dynamics of the Ebola epidemic, the Gorenflo-Mainardi-Moretti-Paradisi scheme (GMMP) is taken to get the numerical solution of the SEIR fractional order Ebola system and the modified grid approximation method (MGAM) is used to acquire the parameters of the SEIR fractional order Ebola system. We consider that the GMMP method may lead to absurd numerical solutions, so its stability and convergence are given. Then, the new fractional orders, parameters, and the root-mean-square relative error <math><mi>g</mi> <mo>(</mo> <msup><mi>U</mi> <mo>∗</mo></msup> <mo>)</mo> <mo>=</mo> <mn>0.4146</mn></math> are obtained. With the new fractional orders and parameters, the numerical solution of the SEIR fractional order Ebola system is closer to the real data than those models in other literature works. Meanwhile, we find that most of the fractional order Ebola systems have the same order. Hence, the fractional order Ebola system with different orders using the Caputo derivatives is also studied. We also adopt the MGAM algorithm to obtain the new orders, parameters, and the root-mean-square relative error which is <math><mi>g</mi> <mo>(</mo> <msup><mi>U</mi> <mo>∗</mo></msup> <mo>)</mo> <mo>=</mo> <mn>0.2744</mn></math> . With the new parameters and orders, the fractional order Ebola systems with different orders fit very well with the real data.","PeriodicalId":53311,"journal":{"name":"Advances in Difference Equations","volume":null,"pages":null},"PeriodicalIF":4.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13662-021-03272-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"25478590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Mathematical analysis of a within-host model of SARS-CoV-2. SARS-CoV-2宿主内模型的数学分析

IF 4.1 3区数学

Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-02-17 DOI: 10.1186/s13662-021-03276-1

Bhagya Jyoti Nath, Kaushik Dehingia, Vishnu Narayan Mishra, Yu-Ming Chu, Hemanta Kumar Sarmah

引用次数: 33