Pub Date : 2023-01-06DOI: 10.1007/s12591-022-00627-6
Noureddine Frimane, Abdelbaki Attioui
{"title":"A General Existence Theorem and Asymptotics for Non-self-adjoint Sturm-Liouville Problems","authors":"Noureddine Frimane, Abdelbaki Attioui","doi":"10.1007/s12591-022-00627-6","DOIUrl":"https://doi.org/10.1007/s12591-022-00627-6","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":"6 10","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41303405","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}
Pub Date : 2023-01-02DOI: 10.1007/s12591-022-00624-9
Morteza Bisheh-Niasar, H. Ramos
{"title":"A Computational Block Method with Five Hybrid-Points for Differential Equations Containing a Piece-wise Constant Delay","authors":"Morteza Bisheh-Niasar, H. Ramos","doi":"10.1007/s12591-022-00624-9","DOIUrl":"https://doi.org/10.1007/s12591-022-00624-9","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":"1 1","pages":"1-14"},"PeriodicalIF":1.0,"publicationDate":"2023-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46948416","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}
Pub Date : 2022-12-28DOI: 10.1007/s12591-022-00626-7
Mario Lefebvre
A stochastic SIR (Susceptible, Infected, Recovered) model for the spread of a non-lethal disease is considered. The size of the population is constant. The problem of computing the moment-generating function of the random time until all members of the population are recovered is solved in special cases. The expected duration of the epidemic is also computed, as well as the probability that the whole population will be either cured or immunized before every member is infected. The method of similarity solutions is used to solve the various Kolmogorov partial differential equations, subject to the appropriate boundary conditions.
{"title":"On the Duration of an Epidemic.","authors":"Mario Lefebvre","doi":"10.1007/s12591-022-00626-7","DOIUrl":"10.1007/s12591-022-00626-7","url":null,"abstract":"<p><p>A stochastic SIR (Susceptible, Infected, Recovered) model for the spread of a non-lethal disease is considered. The size of the population is constant. The problem of computing the moment-generating function of the random time until all members of the population are recovered is solved in special cases. The expected duration of the epidemic is also computed, as well as the probability that the whole population will be either cured or immunized before every member is infected. The method of similarity solutions is used to solve the various Kolmogorov partial differential equations, subject to the appropriate boundary conditions.</p>","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":"1-11"},"PeriodicalIF":1.0,"publicationDate":"2022-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9795445/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10523942","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}
Pub Date : 2022-12-21DOI: 10.1007/s12591-022-00623-w
G. K. Kumar
{"title":"Determination of Transient Effect in Time-Dependent Linear Dynamical System Using Condition Spectrum","authors":"G. K. Kumar","doi":"10.1007/s12591-022-00623-w","DOIUrl":"https://doi.org/10.1007/s12591-022-00623-w","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43559791","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}
Pub Date : 2022-12-19DOI: 10.1007/s12591-022-00622-x
S. Khajanchi, M. Sardar, J. Nieto
{"title":"Application of Non-singular Kernel in a Tumor Model with Strong Allee Effect","authors":"S. Khajanchi, M. Sardar, J. Nieto","doi":"10.1007/s12591-022-00622-x","DOIUrl":"https://doi.org/10.1007/s12591-022-00622-x","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":"31 1","pages":"687 - 692"},"PeriodicalIF":1.0,"publicationDate":"2022-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49039463","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}
Pub Date : 2022-12-19DOI: 10.1007/s12591-022-00625-8
M. Al‐Gharabli, A. Guesmia, S. Messaoudi
{"title":"Some Existence and Exponential Stability Results for a Plate Equation with Strong Damping and a Logarithmic Source Term","authors":"M. Al‐Gharabli, A. Guesmia, S. Messaoudi","doi":"10.1007/s12591-022-00625-8","DOIUrl":"https://doi.org/10.1007/s12591-022-00625-8","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41815473","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}
Pub Date : 2022-10-30DOI: 10.1007/s12591-022-00610-1
Gleiciane S. Aragão, F. Bezerra, Cládio O. P. Da Silva
{"title":"On the Asymptotic Behavior of Thermoelastic Plate with Terms Concentrated in the Boundary","authors":"Gleiciane S. Aragão, F. Bezerra, Cládio O. P. Da Silva","doi":"10.1007/s12591-022-00610-1","DOIUrl":"https://doi.org/10.1007/s12591-022-00610-1","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48649550","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}
Pub Date : 2022-10-15DOI: 10.1007/s12591-022-00621-y
A. J. Badakaya, H. Abdullahi, M. Salimi
{"title":"A Pursuit Game in a Closed Convex Set on a Euclidean Space","authors":"A. J. Badakaya, H. Abdullahi, M. Salimi","doi":"10.1007/s12591-022-00621-y","DOIUrl":"https://doi.org/10.1007/s12591-022-00621-y","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48946992","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}
Pub Date : 2022-10-15DOI: 10.1007/s12591-022-00618-7
A. Tripathy, Sunita Das
{"title":"Characterization of First Order 2-dim Neutral Delay Difference Systems","authors":"A. Tripathy, Sunita Das","doi":"10.1007/s12591-022-00618-7","DOIUrl":"https://doi.org/10.1007/s12591-022-00618-7","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47807270","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}
Pub Date : 2022-10-13DOI: 10.1007/s12591-022-00620-z
A. Das, K. T. Joseph
{"title":"Explicit Solution of a Non-strictly Hyperbolic System with Discontinuous Flux Using a Scaling Argument","authors":"A. Das, K. T. Joseph","doi":"10.1007/s12591-022-00620-z","DOIUrl":"https://doi.org/10.1007/s12591-022-00620-z","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43455996","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}
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