Pub Date : 2021-10-01DOI: 10.1007/s12591-021-00584-6
R. K. Upadhyay
{"title":"Special Issue on Nonlinear Models in Biosignaling, Biosensor and Neural Systems—Modeling, Simulations and Applications","authors":"R. K. Upadhyay","doi":"10.1007/s12591-021-00584-6","DOIUrl":"https://doi.org/10.1007/s12591-021-00584-6","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":"29 1","pages":"749 - 750"},"PeriodicalIF":1.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43131574","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 : 2021-09-27DOI: 10.1007/s12591-021-00583-7
A. Khan, D. Khattar, N. Agrawal
{"title":"Anti Difference Multiswitching Compound–Compound Combination Synchronization of Seven Chaotic Systems","authors":"A. Khan, D. Khattar, N. Agrawal","doi":"10.1007/s12591-021-00583-7","DOIUrl":"https://doi.org/10.1007/s12591-021-00583-7","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43234756","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 : 2021-09-15DOI: 10.1007/s12591-021-00581-9
Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir
In this paper, we consider an SEIS epidemic model with infectious force in latent and infected period, which incorporates by nonlinear incidence rates. The local stability of the equilibria is discussed. By means of Lyapunov functionals and LaSalle's invariance principle, we proved the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium. An application is given and numerical simulation results based on real data of COVID-19 in Morocco are performed to justify theoretical findings.
在本文中，我们考虑了一个 SEIS 流行病模型，该模型在潜伏期和感染期都有感染力，并包含非线性发病率。本文讨论了均衡的局部稳定性。通过莱普诺夫函数和拉萨尔不变性原理，我们证明了无病均衡和流行均衡的全局渐进稳定性。我们给出了一个应用，并根据摩洛哥 COVID-19 的真实数据进行了数值模拟，以证明理论结论的正确性。
{"title":"<ArticleTitle xmlns:ns0=\"http://www.w3.org/1998/Math/MathML\">Threshold Dynamics of an <ns0:math><ns0:mi>SEIS</ns0:mi></ns0:math> Epidemic Model with Nonlinear Incidence Rates.","authors":"Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir","doi":"10.1007/s12591-021-00581-9","DOIUrl":"10.1007/s12591-021-00581-9","url":null,"abstract":"<p><p>In this paper, we consider an <i>SEIS</i> epidemic model with infectious force in latent and infected period, which incorporates by nonlinear incidence rates. The local stability of the equilibria is discussed. By means of <i>Lyapunov</i> functionals and <i>LaSalle's</i> invariance principle, we proved the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium. An application is given and numerical simulation results based on real data of COVID-19 in Morocco are performed to justify theoretical findings.</p>","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":"1-14"},"PeriodicalIF":0.8,"publicationDate":"2021-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8441045/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39429657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-07-31DOI: 10.1007/s12591-021-00580-w
G. Ossandón, Daniel Sepúlveda
{"title":"Existence and Stability of Periodic Solutions of Nicholson-Type System with Nonlinear Density-Dependent Mortality","authors":"G. Ossandón, Daniel Sepúlveda","doi":"10.1007/s12591-021-00580-w","DOIUrl":"https://doi.org/10.1007/s12591-021-00580-w","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12591-021-00580-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45726288","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 : 2021-07-28DOI: 10.1007/s12591-021-00578-4
S. V. Uddhao, P. D. Raiter, R. V. Saraykar
{"title":"Existence and Stability of $$L^{p}$$ Solutions of the Steady State Magnetohydrodynamic Equations with Rough External Forces","authors":"S. V. Uddhao, P. D. Raiter, R. V. Saraykar","doi":"10.1007/s12591-021-00578-4","DOIUrl":"https://doi.org/10.1007/s12591-021-00578-4","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12591-021-00578-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41526419","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 : 2021-07-09DOI: 10.1007/S12591-021-00576-6
M. Timoumi
{"title":"Ground State Homoclinic Solutions for a Class of Superquadratic Fourth-Order Differential Equations","authors":"M. Timoumi","doi":"10.1007/S12591-021-00576-6","DOIUrl":"https://doi.org/10.1007/S12591-021-00576-6","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S12591-021-00576-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42122986","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 : 2021-07-02DOI: 10.1007/S12591-021-00574-8
O. Kouba, D. Bernstein
{"title":"The Dynamics of a Bead Sliding on a Freely Rotating Horizontal Wire: An Analytical Solution","authors":"O. Kouba, D. Bernstein","doi":"10.1007/S12591-021-00574-8","DOIUrl":"https://doi.org/10.1007/S12591-021-00574-8","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S12591-021-00574-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45624184","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 : 2021-06-14DOI: 10.1007/S12591-021-00575-7
D. Sahoo, G. Samanta
{"title":"Impact of Fear Effect in a Two Prey-One Predator System with Switching Behaviour in Predation","authors":"D. Sahoo, G. Samanta","doi":"10.1007/S12591-021-00575-7","DOIUrl":"https://doi.org/10.1007/S12591-021-00575-7","url":null,"abstract":"","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":"1 1","pages":"1-23"},"PeriodicalIF":1.0,"publicationDate":"2021-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S12591-021-00575-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44956745","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 : 2021-06-14DOI: 10.1007/s12591-021-00573-9
Vahid Roomi, Hamid Reza Ahmadi
This paper presents some new definitions and results about a system of uncertain homogeneous linear differential equations. Introducing the uncertain fundamental system and uncertain fundamental matrix for the uncertain system, the Liouville formula will be proven for the system. Moreover, the explicit solutions of the system will be presented.
{"title":"The Liouville Formula for the Uncertain Homogeneous Linear System and Explicit Solutions of the System.","authors":"Vahid Roomi, Hamid Reza Ahmadi","doi":"10.1007/s12591-021-00573-9","DOIUrl":"10.1007/s12591-021-00573-9","url":null,"abstract":"<p><p>This paper presents some new definitions and results about a system of uncertain homogeneous linear differential equations. Introducing the uncertain fundamental system and uncertain fundamental matrix for the uncertain system, the Liouville formula will be proven for the system. Moreover, the explicit solutions of the system will be presented.</p>","PeriodicalId":45352,"journal":{"name":"Differential Equations and Dynamical Systems","volume":" ","pages":"1-14"},"PeriodicalIF":1.0,"publicationDate":"2021-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8200317/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39248986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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