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Quasi-stabilization/synchronization of quaternion-valued memristive neural networks: Norm approach
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-11-04 DOI: 10.1002/mma.10594
Ruoxia Li, Jinde Cao
{"title":"Quasi-stabilization/synchronization of quaternion-valued memristive neural networks: Norm approach","authors":"Ruoxia Li,&nbsp;Jinde Cao","doi":"10.1002/mma.10594","DOIUrl":"https://doi.org/10.1002/mma.10594","url":null,"abstract":"<p>This paper examines the quasi-stabilization and synchronization of memristive neural networks in high dimensional forms. First, new criteria for the existence of the equilibrium point (EP) are delivered by contraction mapping principle. Then, a new Lyapunov function described with one-norm form is imported for quasi-stabilization/synchronization of the system. Finally, two numerical examples containing simulations are given to demonstrate the effectiveness.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 4","pages":"5110-5125"},"PeriodicalIF":2.1,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143380044","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Normalized solutions of linearly coupled Choquard system with potentials
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-11-04 DOI: 10.1002/mma.10556
Meng Li, Jinchun He, Haoyuan Xu, Meihua Yang
{"title":"Normalized solutions of linearly coupled Choquard system with potentials","authors":"Meng Li,&nbsp;Jinchun He,&nbsp;Haoyuan Xu,&nbsp;Meihua Yang","doi":"10.1002/mma.10556","DOIUrl":"https://doi.org/10.1002/mma.10556","url":null,"abstract":"<p>In this paper, we consider the existence of solutions for the linearly coupled Choquard system with potentials \u0000\u0000 </p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 4","pages":"4439-4459"},"PeriodicalIF":2.1,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143380043","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Computational reaching of quantified consequences from imperfect initial data
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-11-04 DOI: 10.1002/mma.10542
Jesús Medina, José Antonio Torné-Zambrano
{"title":"Computational reaching of quantified consequences from imperfect initial data","authors":"Jesús Medina,&nbsp;José Antonio Torné-Zambrano","doi":"10.1002/mma.10542","DOIUrl":"https://doi.org/10.1002/mma.10542","url":null,"abstract":"<p>Usually, it is not direct to translate theoretical results to practice. One of the challenges is the real computation of solutions to proposed problems, when infinite numbers (such as real numbers or the unit interval) are considered. The same is true when consequences (information) from a data set modeled by logical rules need to be obtained. In this framework, this information is obtained from the immediate consequences operator and ensuring its continuity is fundamental for making sure the computation of this information in a countable number of iterations. Recently, a versatile operator using generalized quantifiers has been introduced. This note will advance in the knowledge introducing necessary and sufficient conditions to ensure the continuity of this new flexible operator.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 4","pages":"4232-4243"},"PeriodicalIF":2.1,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10542","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143380055","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamic analysis and optimal control of HIV/AIDS model considering the first 95% target
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-11-04 DOI: 10.1002/mma.10563
Wenhui Hao, Juping Zhang, Zhen Jin
{"title":"Dynamic analysis and optimal control of HIV/AIDS model considering the first 95% target","authors":"Wenhui Hao,&nbsp;Juping Zhang,&nbsp;Zhen Jin","doi":"10.1002/mma.10563","DOIUrl":"https://doi.org/10.1002/mma.10563","url":null,"abstract":"<p>Based on the level of awareness of the population, an HIV/AIDS model is developed, which focused on the first 95% plan developed by UNAIDS. The threshold \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>R</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>0</mn>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {R}_0 $$</annotation>\u0000 </semantics></math> of model and the expressions of the disease-free equilibrium and the endemic equilibrium are calculated, proving the existence of backward bifurcation. Backward bifurcation is caused by the imperfect protection rate of susceptible population due to education. Using China's actual data for parameter fitting, it is found that new HIV infections are on an upward trend. In response to this phenomenon, publicity and education, condoms, screening, and treatment of infected populations are considered as control measures. It is concluded that publicity and education is the primary strategy. This measure can not only effectively reduce the number of infected populations but also effectively increase the awareness rate of HIV-infected populations. It is recommended to use condoms and have fewer sexual partners during sexual contact. Numerical simulation verifies that early stage publicity and education are much more important than post-infection screening and treatment measures.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 4","pages":"4554-4577"},"PeriodicalIF":2.1,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143380056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A physical classification of Killing magnetic fields in Thurston geometries
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-11-04 DOI: 10.1002/mma.10589
Furkan Semih Dündar, Özgür Kelekçi, Gülhan Ayar
{"title":"A physical classification of Killing magnetic fields in Thurston geometries","authors":"Furkan Semih Dündar,&nbsp;Özgür Kelekçi,&nbsp;Gülhan Ayar","doi":"10.1002/mma.10589","DOIUrl":"https://doi.org/10.1002/mma.10589","url":null,"abstract":"<p>In recent years, numerous studies have appeared that considered Killing vectors of three-dimensional Riemannian manifolds as magnetic fields, since these vector fields are divergenceless by definition. The existence of adivergenceless vector field modeled as a magnetic field does not imply that it is physically realizable. In this study, we propose a physical classification scheme based on the divergences of the integral that defines the energy of a Killing magnetic field. We consider all the Killing magnetic fields of Thurston geometries studied in the literature and classify them as either physical or nonphysical.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 4","pages":"5016-5023"},"PeriodicalIF":2.1,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10589","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143380054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global existence of spherically symmetric solutions for isothermal Euler-Poisson system outside a ball
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-11-04 DOI: 10.1002/mma.10565
Lingjun Liu
{"title":"Global existence of spherically symmetric solutions for isothermal Euler-Poisson system outside a ball","authors":"Lingjun Liu","doi":"10.1002/mma.10565","DOIUrl":"https://doi.org/10.1002/mma.10565","url":null,"abstract":"<p>In this paper, we consider an isothermal Euler-Poisson system with self-gravitational force, modeling a compact star such as a strange quark star. We prove that there exists a global entropy solution with spherical symmetry outside a ball, through the fractional Lax-Friedrichs scheme and the theory of compensated compactness.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 4","pages":"4592-4617"},"PeriodicalIF":2.1,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143380057","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Two twinning operators when imposing nonlinear modulation in short-time Fourier transform
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-11-03 DOI: 10.1002/mma.10569
Yue Su, Feng Ye
{"title":"Two twinning operators when imposing nonlinear modulation in short-time Fourier transform","authors":"Yue Su,&nbsp;Feng Ye","doi":"10.1002/mma.10569","DOIUrl":"https://doi.org/10.1002/mma.10569","url":null,"abstract":"<p>Two types of short-time Fourier transforms involving respectively nonlinear modulation and nonlinear translation are designed in this note. Some important properties such as twin in time-frequency domain and orthogonality relations are investigated. Moreover, Lieb type inequalities and uncertainty principle are established.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 4","pages":"4676-4686"},"PeriodicalIF":2.1,"publicationDate":"2024-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143380322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Recovering orthogonality from quasi-type kernel polynomials using specific spectral transformations
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-11-03 DOI: 10.1002/mma.10568
Vikash Kumar, A. Swaminathan
{"title":"Recovering orthogonality from quasi-type kernel polynomials using specific spectral transformations","authors":"Vikash Kumar,&nbsp;A. Swaminathan","doi":"10.1002/mma.10568","DOIUrl":"https://doi.org/10.1002/mma.10568","url":null,"abstract":"<p>In this work, the concept of quasi-type Kernel polynomials with respect to a moment functional is introduced. Difference equation satisfied by these polynomials along with the criterion for orthogonality conditions are discussed. The process of recovering orthogonality for the linear combination of a quasi-type kernel polynomial with another orthogonal polynomial, which is identified by involving linear spectral transformation, is provided. This process involves an expression of ratio of iterated kernel polynomials. This leads to considering the limiting case of ratio of kernel polynomials involving continued fractions. Special cases of such ratios in terms of certain continued fractions are exhibited. Moreover, examples are discussed for obtaining the orthogonality of quasi-type kernel polynomials of order 1.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 4","pages":"4649-4675"},"PeriodicalIF":2.1,"publicationDate":"2024-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143380321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Periodic solutions of differential equations with periodic constraints
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-11-03 DOI: 10.1002/mma.10588
Marco Spadini
{"title":"Periodic solutions of differential equations with periodic constraints","authors":"Marco Spadini","doi":"10.1002/mma.10588","DOIUrl":"https://doi.org/10.1002/mma.10588","url":null,"abstract":"<p>We study the harmonic solutions of periodically perturbed differential equations subjected to a possibly time-dependent constraint. We obtain a degree theoretic condition ensuring a “global branching” result for the nontrivial periodic solutions. The argument stems from a combination of techniques from the theory of topological degree and differential-algebraic equations. As an application, the set of harmonic solutions of periodically perturbed implicit differential equations is investigated.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 4","pages":"5007-5015"},"PeriodicalIF":2.1,"publicationDate":"2024-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10588","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143380320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Harvesting strategies in ecological systems: Evaluating their efficiency in infection dominance
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-10-31 DOI: 10.1002/mma.10578
Deepak Tripathi, Anuraj Singh
{"title":"Harvesting strategies in ecological systems: Evaluating their efficiency in infection dominance","authors":"Deepak Tripathi,&nbsp;Anuraj Singh","doi":"10.1002/mma.10578","DOIUrl":"https://doi.org/10.1002/mma.10578","url":null,"abstract":"<p>In population biology, the interplay between prey and predators in the presence of infection can give rise to complex dynamics. On the flip side, implementing harvesting is an infection control measure. In the present work, we use the dynamical system theory to discuss the dynamics of the harvested prey–predator system in the presence of infection in prey species. Detailed mathematical and numerical evaluations have been presented to discuss the susceptible-free state, infection-free state, predator-free state, species coexistence, stability, and occurrence of various bifurcations (saddle-node, transcritical, and Hopf bifurcation). The study reveals the impact of harvesting parameters on the dynamics. Interestingly, we observe that an infection-free state could be achieved by varying the harvesting parameter under all three harvesting schemes (linear, quadratic, and nonlinear). Moreover, with the help of reproduction number, we claim that linear harvesting is more effective in controlling the infection than quadratic and nonlinear harvesting provided the half-saturation constant for nonlinear harvesting is greater than a threshold value \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mo>=</mo>\u0000 <mn>1</mn>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$$ left(&amp;amp;amp;#x0003D;1right) $$</annotation>\u0000 </semantics></math>; otherwise, nonlinear harvesting is more effective. Also, the system can support more susceptible prey in the presence of harvesting. The present theoretical study suggests different threshold values of implemented harvesting to control the disease.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 4","pages":"4831-4861"},"PeriodicalIF":2.1,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143380997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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