Pub Date : 2022-01-01DOI: 10.1504/ijdsde.2022.10048155
N. Yousfi, M. Bachraoui, K. Hattaf
{"title":"Qualitative analysis of a fractional model for HBV infection with capsids and adaptive immunity","authors":"N. Yousfi, M. Bachraoui, K. Hattaf","doi":"10.1504/ijdsde.2022.10048155","DOIUrl":"https://doi.org/10.1504/ijdsde.2022.10048155","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":"66734010","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.2022.10048157
K. Thangavel, D. Rajeswari
{"title":"Coronary artery disease classification from clinical heart disease features using deep neural network","authors":"K. Thangavel, D. Rajeswari","doi":"10.1504/ijdsde.2022.10048157","DOIUrl":"https://doi.org/10.1504/ijdsde.2022.10048157","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":"66734063","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.2022.128123
M. F. Ardehaei, M. H. Farahi, S. Effati
{"title":"Synchronisation of fractional dynamical chaotic systems with several slaves","authors":"M. F. Ardehaei, M. H. Farahi, S. Effati","doi":"10.1504/ijdsde.2022.128123","DOIUrl":"https://doi.org/10.1504/ijdsde.2022.128123","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":"66734679","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 : 2021-09-01DOI: 10.1504/ijdsde.2021.10040331
N. Goswami
A non-linear mathematical model of the Zika virus is proposed and analysed the impact of optimal control strategies with the saturated incident. The basic reproduction number (R0) is computed and performed sensitivity analysis to identify the key parameters that influence the basic reproduction number. To investigate the optimal control strategies, three types of time-dependent control parameters are introduced in the system to reduce the transmission. Electronic devices, insecticide-treated bed nets, and mosquito repulsive lotions are used to reduce mosquito biting rates. Keeping this fact, found some suitable optimal control strategies to eradicate the transmission of the disease in the tropical area. Pontryagin's maximum principle is used to manifest the optimal control strategies. It is noticed that the optimal control model gives a better result than the model without optimal control. Finally, the results of the optimal controls are compared by using numerical simulation.
{"title":"Modelling analysis of Zika virus with saturated incidence using optimal control theory","authors":"N. Goswami","doi":"10.1504/ijdsde.2021.10040331","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10040331","url":null,"abstract":"A non-linear mathematical model of the Zika virus is proposed and analysed the impact of optimal control strategies with the saturated incident. The basic reproduction number (R0) is computed and performed sensitivity analysis to identify the key parameters that influence the basic reproduction number. To investigate the optimal control strategies, three types of time-dependent control parameters are introduced in the system to reduce the transmission. Electronic devices, insecticide-treated bed nets, and mosquito repulsive lotions are used to reduce mosquito biting rates. Keeping this fact, found some suitable optimal control strategies to eradicate the transmission of the disease in the tropical area. Pontryagin's maximum principle is used to manifest the optimal control strategies. It is noticed that the optimal control model gives a better result than the model without optimal control. Finally, the results of the optimal controls are compared by using numerical simulation.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44836357","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 : 2021-08-12DOI: 10.1504/ijdsde.2021.10040295
M. Bohner, Sanket Tikare, I. Santos
We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two more results are given that discuss dependence of solutions on the initial conditions as well as convergence of sequences of solutions.
{"title":"First-order nonlinear dynamic initial value problems","authors":"M. Bohner, Sanket Tikare, I. Santos","doi":"10.1504/ijdsde.2021.10040295","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10040295","url":null,"abstract":"We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two more results are given that discuss dependence of solutions on the initial conditions as well as convergence of sequences of solutions.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48894957","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 : 2021-08-11DOI: 10.1504/ijdsde.2021.10040309
J. Appleby
In this paper the asymptotic behaviour of the mean square of the solution of a linear stochastic Volterra integro-differential equation with delay is entirely characterised. In the case when the solution is mean-square asymptotically stable or unstable the exact rate of growth or decay can be determined by the real solution of a transcendental equation which is constructed as a by-product of the proof. The proof of the mean square stability of an equation with fading memory is also sketched.
{"title":"Mean square characterisation of a stochastic Volterra integrodifferential equation with delay","authors":"J. Appleby","doi":"10.1504/ijdsde.2021.10040309","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10040309","url":null,"abstract":"In this paper the asymptotic behaviour of the mean square of the solution of a linear stochastic Volterra integro-differential equation with delay is entirely characterised. In the case when the solution is mean-square asymptotically stable or unstable the exact rate of growth or decay can be determined by the real solution of a transcendental equation which is constructed as a by-product of the proof. The proof of the mean square stability of an equation with fading memory is also sketched.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48851333","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 : 2021-08-11DOI: 10.1504/ijdsde.2021.10040296
F. Atici, W. R. Bennett
In this paper, we introduce a second order self-adjoint difference equation which describes the dynamics of Ponzi schemes: a type of investment fraud that promises more than it can deliver. We use ...
{"title":"A study on discrete Ponzi Scheme model through Sturm-Liouville theory","authors":"F. Atici, W. R. Bennett","doi":"10.1504/ijdsde.2021.10040296","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10040296","url":null,"abstract":"In this paper, we introduce a second order self-adjoint difference equation which describes the dynamics of Ponzi schemes: a type of investment fraud that promises more than it can deliver. We use ...","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"64 14","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41246385","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 : 2021-05-24DOI: 10.1504/IJDSDE.2021.10037985
Mustapha Meghnafi, M. Hammami, T. Blouhi
In this paper, we present some existence results of mild solutions and study the topological structure of solution sets for the following first-order impulsive stochastic semilinear differential inclusions driven by Poisson jumps with periodic boundary conditions.We consider the cases in which the right hand side can be either convex . The results are obtained by using fixed point theorems for multivalued mappings, more precisely, the technique is based on fixed point theorem a nonlinear alternative of Leray-Schauder's fixed point theorem in generalised metric and Banach spaces.
{"title":"Existence results on impulsive stochastic semilinear differential inclusions","authors":"Mustapha Meghnafi, M. Hammami, T. Blouhi","doi":"10.1504/IJDSDE.2021.10037985","DOIUrl":"https://doi.org/10.1504/IJDSDE.2021.10037985","url":null,"abstract":"In this paper, we present some existence results of mild solutions and study the topological structure of solution sets for the following first-order impulsive stochastic semilinear differential inclusions driven by Poisson jumps with periodic boundary conditions.We consider the cases in which the right hand side can be either convex . The results are obtained by using fixed point theorems for multivalued mappings, more precisely, the technique is based on fixed point theorem a nonlinear alternative of Leray-Schauder's fixed point theorem in generalised metric and Banach spaces.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46017161","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 : 2021-05-15DOI: 10.1504/IJDSDE.2021.10037986
H. A. Agwa, H. Hassan, E. Magdy
In this work, we establish some new oscillation criteria for forced first order dynamic equations with maxima. Our results not only complement and generalise some existing results, but also can be applied to some oscillation problems that were not covered before. We also give some examples to illustrate our main results.
{"title":"Oscillation criteria for first order forced delay dynamic equations with maxima on time scales","authors":"H. A. Agwa, H. Hassan, E. Magdy","doi":"10.1504/IJDSDE.2021.10037986","DOIUrl":"https://doi.org/10.1504/IJDSDE.2021.10037986","url":null,"abstract":"In this work, we establish some new oscillation criteria for forced first order dynamic equations with maxima. Our results not only complement and generalise some existing results, but also can be applied to some oscillation problems that were not covered before. We also give some examples to illustrate our main results.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47806967","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 : 2021-05-15DOI: 10.1504/IJDSDE.2021.10037987
Yibing Sun, Yige Zhao
The purpose of this paper is to study the oscillation criteria for a class of third-order neutral differential equations with distributed deviating arguments where and αi are ratios of positive odd integers, i = 1, 2. By using a generalized Riccati transformation and an integral averaging technique, we establish some new theorems, which ensure that all solutions of this equation oscillate or converge to zero. Some examples are given to illustrate our main results.
{"title":"Oscillation theorems and asymptotic behaviour of certain third-order neutral differential equations with distributed deviating arguments","authors":"Yibing Sun, Yige Zhao","doi":"10.1504/IJDSDE.2021.10037987","DOIUrl":"https://doi.org/10.1504/IJDSDE.2021.10037987","url":null,"abstract":"The purpose of this paper is to study the oscillation criteria for a class of third-order neutral differential equations with distributed deviating arguments where and αi are ratios of positive odd integers, i = 1, 2. By using a generalized Riccati transformation and an integral averaging technique, we establish some new theorems, which ensure that all solutions of this equation oscillate or converge to zero. Some examples are given to illustrate our main results.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41585361","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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