Pub Date : 2023-01-01DOI: 10.1504/ijdsde.2023.10060059
Wirya M. Ramadhan, Azad Amen
{"title":"Liouvillian and Global Analytic First Integrals for Mathematical Model of Virus Therapy for Cancer","authors":"Wirya M. Ramadhan, Azad Amen","doi":"10.1504/ijdsde.2023.10060059","DOIUrl":"https://doi.org/10.1504/ijdsde.2023.10060059","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134980783","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 : 2023-01-01DOI: 10.1504/ijdsde.2023.10055485
Sonali Kaushik, Rajesh Kumar
{"title":"Steady-state solution for discrete Oort-Hulst-Safronov coagulation equation","authors":"Sonali Kaushik, Rajesh Kumar","doi":"10.1504/ijdsde.2023.10055485","DOIUrl":"https://doi.org/10.1504/ijdsde.2023.10055485","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734405","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 : 2022-05-13DOI: 10.1504/ijdsde.2021.10040329
Huyhanh Huynh, Abdullah Kalkan
The construction of attractors of a dissipative difference equation is usually based on compactness assumptions. In this paper, we replace them with contractivity assumptions under which the pullback and forward attractors are identical. As a consequence, attractors degenerate to unique bounded entire solutions. As an application, we investigate attractors of integrodifference equations which are popular models in theoretical ecology.
{"title":"Pullback and forward attractors of contractive difference equations","authors":"Huyhanh Huynh, Abdullah Kalkan","doi":"10.1504/ijdsde.2021.10040329","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10040329","url":null,"abstract":"The construction of attractors of a dissipative difference equation is usually based on compactness assumptions. In this paper, we replace them with contractivity assumptions under which the pullback and forward attractors are identical. As a consequence, attractors degenerate to unique bounded entire solutions. As an application, we investigate attractors of integrodifference equations which are popular models in theoretical ecology.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"4 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733959","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 : 2022-01-01DOI: 10.1504/ijdsde.2022.122527
Razieh Delpasand, M. Hosseini, F. M. M. Ghaini
Summary: In this paper, numerical solution of boundary value problems (BVPs) of nonlinear ordinary differential equations (ODEs) by the collocation method is considered. Of course, to avoid solving systems of nonlinear algebraic equations resulting from the method, residual function of the boundary value problem is considered and an unconstrained optimisation model is suggested. Particle swarm optimisation (PSO) algorithm is used for solving the unconstrained optimisation problem. In addition, convergence properties of the Chebyshev expansion are studied. The scheme is tested on some interesting examples and the obtained results demonstrate reliability and efficiency of the proposed hybrid method.
{"title":"A new hybrid collocation method for solving nonlinear two-point boundary value problems","authors":"Razieh Delpasand, M. Hosseini, F. M. M. Ghaini","doi":"10.1504/ijdsde.2022.122527","DOIUrl":"https://doi.org/10.1504/ijdsde.2022.122527","url":null,"abstract":"Summary: In this paper, numerical solution of boundary value problems (BVPs) of nonlinear ordinary differential equations (ODEs) by the collocation method is considered. Of course, to avoid solving systems of nonlinear algebraic equations resulting from the method, residual function of the boundary value problem is considered and an unconstrained optimisation model is suggested. Particle swarm optimisation (PSO) algorithm is used for solving the unconstrained optimisation problem. In addition, convergence properties of the Chebyshev expansion are studied. The scheme is tested on some interesting examples and the obtained results demonstrate reliability and efficiency of the proposed hybrid method.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734548","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 : 2022-01-01DOI: 10.1504/ijdsde.2022.10048156
M. Ganesh Kumar, R. Uthayakumar
{"title":"A two-echelon supply chain model with deterioration and stock-dependent demand via forward and backward stocking policies","authors":"M. Ganesh Kumar, R. Uthayakumar","doi":"10.1504/ijdsde.2022.10048156","DOIUrl":"https://doi.org/10.1504/ijdsde.2022.10048156","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734049","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 : 2022-01-01DOI: 10.1504/ijdsde.2022.10044333
H. Jafari, F. Fakhr Kazemi
{"title":"Stable RBF-RA method for solving fuzzy fractional kinetic equation","authors":"H. Jafari, F. Fakhr Kazemi","doi":"10.1504/ijdsde.2022.10044333","DOIUrl":"https://doi.org/10.1504/ijdsde.2022.10044333","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733990","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 : 2022-01-01DOI: 10.1504/ijdsde.2022.10051397
X. Zhang
{"title":"Non-uniqueness of solution for initial value problem of impulsive fractional partial differential equations","authors":"X. Zhang","doi":"10.1504/ijdsde.2022.10051397","DOIUrl":"https://doi.org/10.1504/ijdsde.2022.10051397","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734179","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 : 2022-01-01DOI: 10.1504/ijdsde.2022.10052784
Saravanakumar Subramaniam
{"title":"Approximate controllability of Sobolev-type nonlocal Hilfer fractional stochastic differential system","authors":"Saravanakumar Subramaniam","doi":"10.1504/ijdsde.2022.10052784","DOIUrl":"https://doi.org/10.1504/ijdsde.2022.10052784","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734360","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 : 2022-01-01DOI: 10.1504/ijdsde.2022.10051420
M. Moalla, R. Karroum, S. Injrou
{"title":"Oscillation and disconjugacy for generalised half-linear differential equations with Bohr almost periodic coefficients","authors":"M. Moalla, R. Karroum, S. Injrou","doi":"10.1504/ijdsde.2022.10051420","DOIUrl":"https://doi.org/10.1504/ijdsde.2022.10051420","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"11 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734251","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 : 2022-01-01DOI: 10.1504/ijdsde.2022.10052786
M. Sambath, M. S. Surendar
{"title":"Dynamics analysis of modified Leslie-Gower prey-predator system with Holling type II functional response","authors":"M. Sambath, M. S. Surendar","doi":"10.1504/ijdsde.2022.10052786","DOIUrl":"https://doi.org/10.1504/ijdsde.2022.10052786","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734381","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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