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On the Synchronization of a novel fractional order chaotic system using nonlinear control method 一种新型分数阶混沌系统的非线性同步控制方法
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity
Pub Date : 2023-09-01 DOI: 10.5890/dnc.2023.09.014
K. Vishal, S. Agrawal, Lokesh Kumar
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引用次数: 0
Dynamics of a predator-prey model with group defense and exponential fading memory 具有群体防御和指数衰退记忆的捕食者-猎物模型动力学
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity
Pub Date : 2023-09-01 DOI: 10.5890/dnc.2023.09.003
P. Panja
{"title":"Dynamics of a predator-prey model with group defense and exponential fading memory","authors":"P. Panja","doi":"10.5890/dnc.2023.09.003","DOIUrl":"https://doi.org/10.5890/dnc.2023.09.003","url":null,"abstract":"","PeriodicalId":259579,"journal":{"name":"The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124242579","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
Non-Instantaneous Impulsive Fractional Neutral Functional Stochastic Integro-Differential System with Measure of Non-compactness 非紧性测度的非瞬时脉冲分数中立泛函随机积分-微分系统
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity
Pub Date : 2023-09-01 DOI: 10.5890/dnc.2023.09.006
K. Malar
{"title":"Non-Instantaneous Impulsive Fractional Neutral Functional Stochastic Integro-Differential System with Measure of Non-compactness","authors":"K. Malar","doi":"10.5890/dnc.2023.09.006","DOIUrl":"https://doi.org/10.5890/dnc.2023.09.006","url":null,"abstract":"","PeriodicalId":259579,"journal":{"name":"The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125514938","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
On Time Scales Fractional Volterra-Fredholm Integro-Differential Equation 时间尺度上分数阶Volterra-Fredholm积分微分方程
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity
Pub Date : 2023-09-01 DOI: 10.5890/dnc.2023.09.009
Ahmed A. Hamoud, Amol D. Khandagale, K. Ghadle
{"title":"On Time Scales Fractional Volterra-Fredholm Integro-Differential Equation","authors":"Ahmed A. Hamoud, Amol D. Khandagale, K. Ghadle","doi":"10.5890/dnc.2023.09.009","DOIUrl":"https://doi.org/10.5890/dnc.2023.09.009","url":null,"abstract":"","PeriodicalId":259579,"journal":{"name":"The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117074511","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
Asymptotic behavior analysis and threshold sharpening of a staged AIDS/HIV epidemic model with Lévy jumps 具有lsamvy跃变的AIDS/HIV分期流行模型的渐近行为分析和阈值锐化
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity
Pub Date : 2023-09-01 DOI: 10.5890/dnc.2023.09.008
D. Kiouach, S. E. A. El-idrissi, Y. Sabbar
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引用次数: 1
Stochastic dynamics of the COVID-19 epidemic via a new mathematical model 基于新数学模型的COVID-19流行随机动力学
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity
Pub Date : 2023-09-01 DOI: 10.5890/DNC.2023.09.004
I. Elbaz, M. Sohaly, H. El-Metwally
This work considers a new stochastic mathematical model for the transmission dynamics of the coronavirusCOVID-19 by providing the healthy compartment together with the quarantine/isolation compartment. In the deterministic model, global stability conditions of the disease-free equilibrium E0 and the endemic equilibrium E*are derived in terms of the threshold quantity Rd0. Based on the chaotic behavior, we develop and analyze a fourdimensional stochastic COVID-19 epidemic model. Uniqueness, boundedness, and positiveness of the proposed stochastic model are investigated in a biologically feasible region. In terms of the stochastic basic reproduction number Rs0 of the stochastic model, extinction and persistence of the COVID-19 disease are derived. Our theoretical findings are supported by some numerical simulations. The sensitivity of the model with respect to the parameters involved in the system is studied to investigate the most sensitive parameter towards the highest number of infected individuals. We confirm the stability analysis by showing the elasticity of Rs 0 with respect to the variation of each parameter. We present real data of a case study with the first wave of the COVID-19 epidemic in the United Kingdom. We compare our numerical results with the real data. © 2023 L&H Scientific Publishing, LLC. All rights reserved.
本文提出了一种新的冠状病毒covid -19传播动力学的随机数学模型，该模型提供了健康隔间和检疫隔离隔间。在确定性模型中，用阈值r0导出了无病平衡点E0和地方病平衡点E*的全局稳定条件。基于混沌行为，建立并分析了一个四维随机COVID-19流行模型。研究了该随机模型在生物可行区域内的唯一性、有界性和正性。根据随机模型的随机基本再现数Rs0，导出了COVID-19疾病的灭绝和持续。我们的理论发现得到了一些数值模拟的支持。研究了模型相对于系统中涉及的参数的敏感性，以找出对感染个体最高数量最敏感的参数。我们通过显示Rs 0相对于每个参数的变化的弹性来确认稳定性分析。我们提供了一个案例研究的真实数据，其中包括英国第一波COVID-19流行病。我们将数值计算结果与实际数据进行了比较。©2023 L&H科学出版有限责任公司版权所有。
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引用次数: 1
Existence of solutions of a viscoelastic p(x)-Laplacian equation with logarithmic nonlinearity 具有对数非线性的粘弹性p(x)-拉普拉斯方程解的存在性
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity
Pub Date : 2023-09-01 DOI: 10.5890/dnc.2023.09.002
Lakshmipriya Narayanan, G. Soundararajan
{"title":"Existence of solutions of a viscoelastic p(x)-Laplacian equation with logarithmic nonlinearity","authors":"Lakshmipriya Narayanan, G. Soundararajan","doi":"10.5890/dnc.2023.09.002","DOIUrl":"https://doi.org/10.5890/dnc.2023.09.002","url":null,"abstract":"","PeriodicalId":259579,"journal":{"name":"The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122684212","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
Existence of solution of Erdelyi-Kober fractional integral equations using measure of non-compactness 利用非紧性测度Erdelyi-Kober分数阶积分方程解的存在性
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity
Pub Date : 2023-09-01 DOI: 10.5890/dnc.2023.09.015
Vijai Kumar Pathak, L. Mishra
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引用次数: 3
A mathematical model based study on the dynamics of corona virus (COVID-19) disease spread in population 基于数学模型的冠状病毒(COVID-19)疾病在人群中的传播动力学研究
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity
Pub Date : 2023-06-01 DOI: 10.5890/dnc.2023.06.015
V. Verma
{"title":"A mathematical model based study on the dynamics of corona virus (COVID-19) disease spread in population","authors":"V. Verma","doi":"10.5890/dnc.2023.06.015","DOIUrl":"https://doi.org/10.5890/dnc.2023.06.015","url":null,"abstract":"","PeriodicalId":259579,"journal":{"name":"The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity","volume":"119 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114691852","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
Parameter estimation of potentials which are solutions of some second-order ordinary differential equation 某二阶常微分方程解势的参数估计
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity
Pub Date : 2023-03-01 DOI: 10.5890/dnc.2023.03.015
S. Surulere, T. Malange, M. Shatalov, A. C. Mkolesia
{"title":"Parameter estimation of potentials which are solutions of some second-order ordinary differential equation","authors":"S. Surulere, T. Malange, M. Shatalov, A. C. Mkolesia","doi":"10.5890/dnc.2023.03.015","DOIUrl":"https://doi.org/10.5890/dnc.2023.03.015","url":null,"abstract":"","PeriodicalId":259579,"journal":{"name":"The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124365169","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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