Pub Date : 2021-01-01DOI: 10.1504/IJDSDE.2021.10036606
A. Kheirabadi, A. M. Vaziri, S. Effati
{"title":"Numerical solution of time-delay systems by Hermite wavelet","authors":"A. Kheirabadi, A. M. Vaziri, S. Effati","doi":"10.1504/IJDSDE.2021.10036606","DOIUrl":"https://doi.org/10.1504/IJDSDE.2021.10036606","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733617","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 : 2021-01-01DOI: 10.1504/IJDSDE.2021.10036608
B. E. Boukari, K. Hattaf, J. E. Ghordaf
: The aim of this work is to propose and analyse a discrete virus dynamics model with distributed delays and both modes of transmission, one by virus-to-cell infection and the other by cell-to-cell transfer. In the proposed model, the first distributed delays describes the time needed for infected cells to produce new virions, and the second portrays the time necessary for the newly produced virions to become mature and infectious. In addition, the infection transmission process is modelled by general incidence functions for both modes. Furthermore, we prove that the proposed discrete model has the same dynamics as the corresponding continuous model, such as positivity, boundedness and global behaviours of solutions with no restriction on the time step size. Moreover, numerical simulations are given to illustrate and confirm our main analytical results.
{"title":"A discrete viral infection model with both modes of transmission and distributed delays","authors":"B. E. Boukari, K. Hattaf, J. E. Ghordaf","doi":"10.1504/IJDSDE.2021.10036608","DOIUrl":"https://doi.org/10.1504/IJDSDE.2021.10036608","url":null,"abstract":": The aim of this work is to propose and analyse a discrete virus dynamics model with distributed delays and both modes of transmission, one by virus-to-cell infection and the other by cell-to-cell transfer. In the proposed model, the first distributed delays describes the time needed for infected cells to produce new virions, and the second portrays the time necessary for the newly produced virions to become mature and infectious. In addition, the infection transmission process is modelled by general incidence functions for both modes. Furthermore, we prove that the proposed discrete model has the same dynamics as the corresponding continuous model, such as positivity, boundedness and global behaviours of solutions with no restriction on the time step size. Moreover, numerical simulations are given to illustrate and confirm our main analytical results.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733667","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 : 2021-01-01DOI: 10.1504/ijdsde.2021.10040327
J. Jonnalagadda, N. S. Gopal
{"title":"Linear Hilfer nabla fractional difference equations","authors":"J. Jonnalagadda, N. S. Gopal","doi":"10.1504/ijdsde.2021.10040327","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10040327","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733917","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 : 2021-01-01DOI: 10.1504/ijdsde.2021.10040336
E. Lapierre, W. Tikjha
{"title":"On the global behaviour of a system of piecewise linear difference equations","authors":"E. Lapierre, W. Tikjha","doi":"10.1504/ijdsde.2021.10040336","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10040336","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734105","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 : 2021-01-01DOI: 10.1504/ijdsde.2021.10043539
T. Kalaiselvi, S. Padmapriya, Karuppanagounder Somasundaram, P. Sriramakrishnan
{"title":"A deep learning approach for brain tumour detection system using convolutional neural networks","authors":"T. Kalaiselvi, S. Padmapriya, Karuppanagounder Somasundaram, P. Sriramakrishnan","doi":"10.1504/ijdsde.2021.10043539","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043539","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734287","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 : 2021-01-01DOI: 10.1504/IJDSDE.2021.10036607
Hossein Beiglo, M. Gachpazan, M. Erfanian
{"title":"Solving nonlinear Fredholm integral equations with PQWs in complex plane","authors":"Hossein Beiglo, M. Gachpazan, M. Erfanian","doi":"10.1504/IJDSDE.2021.10036607","DOIUrl":"https://doi.org/10.1504/IJDSDE.2021.10036607","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733626","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 : 2021-01-01DOI: 10.1504/IJDSDE.2021.10036609
Chengde Zheng, Fan Xie
{"title":"Single controller for synchronisation of coupled neural networks with distributed time-varying delays","authors":"Chengde Zheng, Fan Xie","doi":"10.1504/IJDSDE.2021.10036609","DOIUrl":"https://doi.org/10.1504/IJDSDE.2021.10036609","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733676","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 : 2021-01-01DOI: 10.1504/ijdsde.2021.10043582
T. Sathiyaraj
{"title":"Optimal control of fractional stochastic systems with delay","authors":"T. Sathiyaraj","doi":"10.1504/ijdsde.2021.10043582","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043582","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"98 1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733870","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 : 2021-01-01DOI: 10.1504/ijdsde.2021.10040328
Pinky Lawaniya, Ravinder Kumar, Soumya Sinha
{"title":"Effect of pollution on predator-prey systems","authors":"Pinky Lawaniya, Ravinder Kumar, Soumya Sinha","doi":"10.1504/ijdsde.2021.10040328","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10040328","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733925","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 : 2021-01-01DOI: 10.1504/ijdsde.2021.10043535
S. Ganesan, R. Uthayakumar
{"title":"Inventory control techniques in a two-echelon supply chain model with fuzzy demand and learning effect","authors":"S. Ganesan, R. Uthayakumar","doi":"10.1504/ijdsde.2021.10043535","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043535","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734221","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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