{"title":"Positive Solutions and Exponential Stability of Nonlinear Time-Delay Systems in the Model of BAM-Cohen-Grossberg Neural Networks","authors":"Le Thi Kim Dzung, Le Van Hien","doi":"10.1007/s12591-022-00605-y","DOIUrl":"https://doi.org/10.1007/s12591-022-00605-y","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43245703","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":"Almost Oscillation of a Third-Order Emden-Fowler Equation on Time Scales","authors":"Özkan Öztürk, R. Higgins","doi":"10.1007/s12591-022-00603-0","DOIUrl":"https://doi.org/10.1007/s12591-022-00603-0","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45183326","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":"On Fractional Semilinear Nonlocal Initial Value Problem with State Dependent Delay","authors":"M. Alam, Shruti A. Dubey","doi":"10.1007/s12591-022-00600-3","DOIUrl":"https://doi.org/10.1007/s12591-022-00600-3","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45963788","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":"Asymptotic Stability of Singular Traveling Waves to Degenerate Advection-Diffusion Equations Under Small Perturbation","authors":"Mohammad Ghani","doi":"10.1007/s12591-022-00602-1","DOIUrl":"https://doi.org/10.1007/s12591-022-00602-1","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48692292","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":"Impact of Social Media Advertisements on the Dynamics of Online Shopping: A Modeling Study","authors":"A. Misra, Kanishka Goyal, J. Maurya","doi":"10.1007/s12591-022-00598-8","DOIUrl":"https://doi.org/10.1007/s12591-022-00598-8","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":"31 1","pages":"651 - 671"},"PeriodicalIF":1.0,"publicationDate":"2022-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49634862","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":"Phase Portraits of a Class of Cubic Systems with an Ellipse and a Straight Line as Invariant Algebraic Curves","authors":"A. Bakhshalizadeh, J. Llibre","doi":"10.1007/s12591-022-00597-9","DOIUrl":"https://doi.org/10.1007/s12591-022-00597-9","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46906626","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":"The Monotonicity of the Ratio of Two Line Integrals in Piecewise Smooth Differential Systems","authors":"A. Bakhshalizadeh, R. Asheghi","doi":"10.1007/s12591-022-00599-7","DOIUrl":"https://doi.org/10.1007/s12591-022-00599-7","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41737464","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":"Analytic Solution of the Fractional Order Non-linear Schrödinger Equation and the Fractional Order Klein Gordon Equation","authors":"Md. Ramjan Ali, U. Ghosh, Sudeep Sarkar, S. Das","doi":"10.1007/s12591-022-00596-w","DOIUrl":"https://doi.org/10.1007/s12591-022-00596-w","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":"30 1","pages":"499 - 512"},"PeriodicalIF":1.0,"publicationDate":"2022-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44456792","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 Study on the Application of Optimal Control in a Bioeconomic System","authors":"M. Hasan, M. S. Uddin, M. Biswas","doi":"10.1007/s12591-022-00589-9","DOIUrl":"https://doi.org/10.1007/s12591-022-00589-9","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43136379","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":"Pattern Formation in Epidemic Model with Media Coverage.","authors":"Ronobir Chandra Sarker, Saroj Kumar Sahani","doi":"10.1007/s12591-022-00595-x","DOIUrl":"10.1007/s12591-022-00595-x","url":null,"abstract":"<p><p>In this article, a spatial epidemic model with media coverage is studied. By both mathematical analysis and numerical simulation, we found that there are some typical dynamics of population density such as the formation of the hole, stripe, spot, coexistence of hole and stripe or spot and stripe. The obtained results exhibit that parameters describing media coverage have a significant influence on the spatial pattern of the disease. More specifically, the sequential change in behaviour of the spatial pattern is observed as the parameter that accounts for media coverage increases. These changes analogous to the effect due to the rise in the basic reproduction number. The results presented in this article thus can be applied to any particular disease with some modification to study the effects of media coverage on disease dynamics. The model is although simple but the idea can be well extended to other complex problems.</p>","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":"1 1","pages":"1-14"},"PeriodicalIF":1.0,"publicationDate":"2022-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8857639/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48239340","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}