Pub Date : 2024-04-08DOI: 10.1080/10236198.2024.2339344
Quanquan Yao, Peiyong Zhu
Let (X,T) be a linear dynamical system defined on a Banach space X and LT:KX∗→KX∗ be defined by LTS=TS, where KX∗=span{〈⋅,y∗〉x:y∗∈X∗,x∈X}¯. This paper first obtains the equivalence of the (syndetic...
{"title":"Weak multi-sensitive compactness and mean sensitivity for linear operators","authors":"Quanquan Yao, Peiyong Zhu","doi":"10.1080/10236198.2024.2339344","DOIUrl":"https://doi.org/10.1080/10236198.2024.2339344","url":null,"abstract":"Let (X,T) be a linear dynamical system defined on a Banach space X and LT:KX∗→KX∗ be defined by LTS=TS, where KX∗=span{〈⋅,y∗〉x:y∗∈X∗,x∈X}¯. This paper first obtains the equivalence of the (syndetic...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140590521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-02DOI: 10.1080/10236198.2024.2336475
Jinghua Liu, Lin Li
Since the solutions of Feigenbaum–Kadanoff–Shenker (for short FKS) equation are closely related to the invariant circles and the scaling behaviours of circle maps under iteration, which play a cent...
{"title":"Two kinds of analytical solutions to Feigenbaum–Kadanoff–Shenker equation","authors":"Jinghua Liu, Lin Li","doi":"10.1080/10236198.2024.2336475","DOIUrl":"https://doi.org/10.1080/10236198.2024.2336475","url":null,"abstract":"Since the solutions of Feigenbaum–Kadanoff–Shenker (for short FKS) equation are closely related to the invariant circles and the scaling behaviours of circle maps under iteration, which play a cent...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140590796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-21DOI: 10.1080/10236198.2024.2330951
Haifeng Song, Yuxiang Zhang
We present a general integrodifference pioneer-climax competition system and study the invasion dynamics of the system in both monotone and nonmonotone cases. For the parameter regions in which the...
{"title":"Travelling waves and speed selection for the integrodifference pioneer-climax competition system","authors":"Haifeng Song, Yuxiang Zhang","doi":"10.1080/10236198.2024.2330951","DOIUrl":"https://doi.org/10.1080/10236198.2024.2330951","url":null,"abstract":"We present a general integrodifference pioneer-climax competition system and study the invasion dynamics of the system in both monotone and nonmonotone cases. For the parameter regions in which the...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140196199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-09DOI: 10.1080/10236198.2024.2325492
Qing-Hu Hou, Haihong He, Xiaoxia Wang
By applying the derivative operator to the known identities from hypergeometric series or WZ pairs, we obtain six series associated with harmonic numbers. Specifically, five of them are Ramanujan-l...
{"title":"Ramanujan-inspired series for 1/π involving harmonic numbers","authors":"Qing-Hu Hou, Haihong He, Xiaoxia Wang","doi":"10.1080/10236198.2024.2325492","DOIUrl":"https://doi.org/10.1080/10236198.2024.2325492","url":null,"abstract":"By applying the derivative operator to the known identities from hypergeometric series or WZ pairs, we obtain six series associated with harmonic numbers. Specifically, five of them are Ramanujan-l...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140097547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-05DOI: 10.1080/10236198.2024.2325485
Jianshe Yu, Jia Li
To gain insights into the effectiveness of the newly proposed and developed genetic sterile insect technique in control of mosquitoes, that releases mosquitoes carrying a dominant lethal (RIDL), we...
{"title":"Discrete-time models for interactive wild and transgenic sterile mosquitoes","authors":"Jianshe Yu, Jia Li","doi":"10.1080/10236198.2024.2325485","DOIUrl":"https://doi.org/10.1080/10236198.2024.2325485","url":null,"abstract":"To gain insights into the effectiveness of the newly proposed and developed genetic sterile insect technique in control of mosquitoes, that releases mosquitoes carrying a dominant lethal (RIDL), we...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140034880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-05DOI: 10.1080/10236198.2024.2323173
Jiangqiong Yu, Lin Li, Lingling Liu, Zhiheng Yu
In this paper, we mainly study the dynamic properties of a class of three-dimensional SIR models. First, we use the complete discriminant theory of polynomials to obtain the parameter conditions fo...
本文主要研究一类三维 SIR 模型的动态特性。首先，我们利用多项式的完全判别理论得到了三维 SIR 模型的参数条件。
{"title":"Dynamical analysis of a three-dimensional discrete-time SIR model","authors":"Jiangqiong Yu, Lin Li, Lingling Liu, Zhiheng Yu","doi":"10.1080/10236198.2024.2323173","DOIUrl":"https://doi.org/10.1080/10236198.2024.2323173","url":null,"abstract":"In this paper, we mainly study the dynamic properties of a class of three-dimensional SIR models. First, we use the complete discriminant theory of polynomials to obtain the parameter conditions fo...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140074074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-01DOI: 10.1080/10236198.2024.2323184
Jiandong Yin, Xiaoxiao Nie, Cheng Zhang, Chunmei Yan
Let (X,f) be a dynamical system, i.e. X is a compact metric space and f is a continuous self-map on X and let K(X), M(X) and F(X) be the sets of all non-empty compact subsets of X, Borel probabilit...
让 (X,f) 是一个动力系统，即 X 是一个紧凑的度量空间，f 是 X 上的连续自映射，让 K(X)、M(X) 和 F(X) 是 X 的所有非空紧凑子集的集合，Borel 概率...
{"title":"On sensitivity and transitivity of a dynamical system and its induced dynamical systems","authors":"Jiandong Yin, Xiaoxiao Nie, Cheng Zhang, Chunmei Yan","doi":"10.1080/10236198.2024.2323184","DOIUrl":"https://doi.org/10.1080/10236198.2024.2323184","url":null,"abstract":"Let (X,f) be a dynamical system, i.e. X is a compact metric space and f is a continuous self-map on X and let K(X), M(X) and F(X) be the sets of all non-empty compact subsets of X, Borel probabilit...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140008292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-23DOI: 10.1080/10236198.2024.2308110
Patrick De Leenheer, Zachary Gregg, Jordan McCaslin
We briefly review some history and some of the main mathematical properties of the basic reproduction number, a concept encountered frequently in mathematical biology. We discuss some limitations o...
{"title":"Some limitations on the use of the basic reproduction number","authors":"Patrick De Leenheer, Zachary Gregg, Jordan McCaslin","doi":"10.1080/10236198.2024.2308110","DOIUrl":"https://doi.org/10.1080/10236198.2024.2308110","url":null,"abstract":"We briefly review some history and some of the main mathematical properties of the basic reproduction number, a concept encountered frequently in mathematical biology. We discuss some limitations o...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139955799","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-21DOI: 10.1080/10236198.2024.2302015
Alexanderia Lacy, Yu Jin, David Strayer, Suzanne Lenhart
Zebra mussels have caused significant damage in many lakes and rivers. By using a hybrid population model with discrete-time equations and ordinary differential equations, we represent the zebra mu...
{"title":"Modeling the population dynamics and movement of Zebra mussels","authors":"Alexanderia Lacy, Yu Jin, David Strayer, Suzanne Lenhart","doi":"10.1080/10236198.2024.2302015","DOIUrl":"https://doi.org/10.1080/10236198.2024.2302015","url":null,"abstract":"Zebra mussels have caused significant damage in many lakes and rivers. By using a hybrid population model with discrete-time equations and ordinary differential equations, we represent the zebra mu...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139955823","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-20DOI: 10.1080/10236198.2024.2316812
Sorin Olaru
Published in Journal of Difference Equations and Applications (Ahead of Print, 2024)
发表于《差分方程及应用期刊》（2024 年，提前出版）
{"title":"Recurrent sequences: key results, applications, and problems","authors":"Sorin Olaru","doi":"10.1080/10236198.2024.2316812","DOIUrl":"https://doi.org/10.1080/10236198.2024.2316812","url":null,"abstract":"Published in Journal of Difference Equations and Applications (Ahead of Print, 2024)","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139955808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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