International Journal of Dynamical Systems and Differential Equations最新文献

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Interval oscillation criteria for damped second-order delay differential equations with nonlinearities given by Riemann-Stieltjes integral 由Riemann-Stieltjes积分给出的非线性二阶阻尼时滞微分方程的区间振荡准则
IF 0.3
International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-05-15 DOI: 10.1504/IJDSDE.2021.10037983
V. Muthulakshmi, R. Manjuram
{"title":"Interval oscillation criteria for damped second-order delay differential equations with nonlinearities given by Riemann-Stieltjes integral","authors":"V. Muthulakshmi, R. Manjuram","doi":"10.1504/IJDSDE.2021.10037983","DOIUrl":"https://doi.org/10.1504/IJDSDE.2021.10037983","url":null,"abstract":"The purpose of this paper is to investigate the oscillatory behaviour of certain types of damped second-order forced delay differential equations with nonlinearities given by Riemann-Stieltjes integral. By using the Riccati transformation, some inequalities and integral averaging technique, interval oscillation criteria of both El-Sayed type and Kong type are established. Finally, two examples are presented to illustrate the theoretical 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":"47578252","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}
引用次数: 0
Optimal control of behaviour and treatment in a nonautonomous SIR model 非自治SIR模型中行为和治疗的最优控制
IF 0.3
International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-05-15 DOI: 10.1504/IJDSDE.2021.10037984
Samhita Das, P. Das, P. Das
{"title":"Optimal control of behaviour and treatment in a nonautonomous SIR model","authors":"Samhita Das, P. Das, P. Das","doi":"10.1504/IJDSDE.2021.10037984","DOIUrl":"https://doi.org/10.1504/IJDSDE.2021.10037984","url":null,"abstract":"In this paper, we have considered a nonautonomous susceptible, infected, removed (SIR) model with saturation incidence rate for disease transmission. The global dynamical properties like permanence and global stability of the system as well as extinction of disease are analytically and numerically studied. The impact of behavioural patterns of individuals on disease control is validated along with possible applications. Furthermore, Pontryagin's Maximum Principle is used to characterise optimal level of the two controls, treatment and awareness level. Our objective is to minimise the infected population as well as the cost of applied control. The controls at optimal level are found to achieve different levels of impact on infection. It is observed that the combined impact of treatment and awareness exhibits more effective result in disease control compared to their single application. Based on observation, the strategy regarding the implementation of awareness and treatment is suggested.","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":"49632956","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}
引用次数: 5
Numerical approach for solving nonlinear stochastic Itô-Volterra integral equations using shifted Legendre polynomials 用移位勒让德多项式求解非线性随机Itô-Volterra积分方程的数值方法
IF 0.3
International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-03-21 DOI: 10.1504/IJDSDE.2021.10036610
R. Zeghdane
{"title":"Numerical approach for solving nonlinear stochastic Itô-Volterra integral equations using shifted Legendre polynomials","authors":"R. Zeghdane","doi":"10.1504/IJDSDE.2021.10036610","DOIUrl":"https://doi.org/10.1504/IJDSDE.2021.10036610","url":null,"abstract":"In this paper, we give a new method for solving stochastic nonlinear Volterra integral equations by using shifted Legendre operational matrix. It is discussed that how the stochastic differential equations (SDE) could numerically be solved as matrix problems. By using this new operational matrix of integration and the so-called collocation method, nonlinear Volterra integral equations is reduced to systems of algebraic equations with unknown Legendre coefficients. Finally, the high accuracy of approximated solutions are illustrated by several experiment.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41673098","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}
引用次数: 1
Analysis of the bilateral Laplace transform on time scales with applications 时间尺度上双边拉普拉斯变换的分析及其应用
IF 0.3
International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-01-01 DOI: 10.1504/ijdsde.2021.10040324
Tom Cuchta, S. Georgiev
{"title":"Analysis of the bilateral Laplace transform on time scales with applications","authors":"Tom Cuchta, S. Georgiev","doi":"10.1504/ijdsde.2021.10040324","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10040324","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":"66733684","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}
引用次数: 2
Convergence results of K iteration process for nonexpansive mappings with an application 非扩张映射K迭代过程的收敛结果及应用
IF 0.3
International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-01-01 DOI: 10.1504/ijdsde.2021.10043529
M. Marudai, V. Anbukkarasi, M. S. Narayanan
{"title":"Convergence results of K iteration process for nonexpansive mappings with an application","authors":"M. Marudai, V. Anbukkarasi, M. S. Narayanan","doi":"10.1504/ijdsde.2021.10043529","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043529","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":"66734164","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}
引用次数: 0
Stability result for fractional neutral stochastic differential system driven by mixed fractional Brownian motion 混合分数阶布朗运动驱动的分数阶中立型随机微分系统的稳定性结果
IF 0.3
International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-01-01 DOI: 10.1504/ijdsde.2021.10043537
K. Dhanalakshmi, P. Balasubramaniam
{"title":"Stability result for fractional neutral stochastic differential system driven by mixed fractional Brownian motion","authors":"K. Dhanalakshmi, P. Balasubramaniam","doi":"10.1504/ijdsde.2021.10043537","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043537","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":"66734276","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}
引用次数: 0
Mean-square asymptotic stability of stochastic inertial neural networks with time-delay and Markovian jump parameters 时滞马尔可夫跳变随机惯性神经网络的均方渐近稳定性
IF 0.3
International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-01-01 DOI: 10.1504/ijdsde.2021.10043541
R. Krishnasamy, R. K. George
{"title":"Mean-square asymptotic stability of stochastic inertial neural networks with time-delay and Markovian jump parameters","authors":"R. Krishnasamy, R. K. George","doi":"10.1504/ijdsde.2021.10043541","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043541","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":"66734300","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}
引用次数: 1
Analysing of complementary perfect hop domination numeral of corona products of graphs 图的冕积的互补完全啤酒花支配数分析
IF 0.3
International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-01-01 DOI: 10.1504/ijdsde.2021.10043581
G. Mahadevan, V. Vijayalakshmi
{"title":"Analysing of complementary perfect hop domination numeral of corona products of graphs","authors":"G. Mahadevan, V. Vijayalakshmi","doi":"10.1504/ijdsde.2021.10043581","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043581","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":"66734349","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}
引用次数: 0
Application of generalised Riccati equations to analysis of asymptotic forms of solutions of perturbed half-linear ordinary differential equations 广义Riccati方程在摄动半线性常微分方程解渐近形式分析中的应用
IF 0.3
International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-01-01 DOI: 10.1504/ijdsde.2021.10040326
Sokea Luey, H. Usami
{"title":"Application of generalised Riccati equations to analysis of asymptotic forms of solutions of perturbed half-linear ordinary differential equations","authors":"Sokea Luey, H. Usami","doi":"10.1504/ijdsde.2021.10040326","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10040326","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":"66733902","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}
引用次数: 1
Dengue outbreak prediction model for urban Colombo using meteorological data 基于气象数据的科伦坡城市登革热疫情预测模型
IF 0.3
International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-01-01 DOI: 10.1504/ijdsde.2021.10043534
K. Erandi, S. Perera, A. Mahasinghe
{"title":"Dengue outbreak prediction model for urban Colombo using meteorological data","authors":"K. Erandi, S. Perera, A. Mahasinghe","doi":"10.1504/ijdsde.2021.10043534","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043534","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":"66734210","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}
引用次数: 2
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