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16 articles for “equilibrium points”
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Research ArticleOpen accessPhrase in the titleOn the Stability of the Triangular Lagrangian Equilibrium Points in the Relativistic Restricted Three-Body ProblemM. K. Ahmed, F.A. Abd El-Salam, S.E. Abd El-BarThe restricted three body problem is treated in the framework of the post-Newtonian approximation of general relativity. The equations of motion are linear zed around the libration points L4,5. Locations of the equilibrium points L4,5 are obtained. Existence and stability of these points are investigated. The relativistic correction to the classical mass ratio is determined. …American Journal of Applied Sciences, Vol. 3, Issue 9 · 30 Sep 2006 · 7,303 accessesView PDFCite
Research ArticleOpen accessIn the keywordsFlows of Continuous-Time Dynamical Systems with No Periodic Orbit as an Equivalence Class under Topological Conjugacy RelationTahir Ahmad, Tan Lit KenProblem statement: Flows of continuous-time dynamical systems with the same number of equilibrium points and trajectories, and which has no periodic orbit form an equivalence class under the topological conjugacy relation. Approach: Arbitrarily, two trajectories resulting from two distinct flows of this type of dynamical systems were written as a set of points (orbit). A homeomorphism which maps between these … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 18 Jul 2011 · 7,254 accessesView PDFCite
Research ArticleOpen accessIn the keywordsChaotic Discrimination and Non-Linear DynamicsPartha GangopadhyayThis study examines a particular form of price discrimination, known as chaotic discrimination, which has the following features: sellers quote a common price but, in reality, they engage in secret and apparently unsystematic price discounts. It is widely held that such forms of price discrimination are seriously inconsistent with profit maximization by sellers.. However, there is no theoretical salience to … …American Journal of Applied Sciences, Vol. 2, Issue 1 · 31 Jan 2005 · 6,757 accessesView PDFCite
Research ArticleOpen accessIn the abstractCoupling Analysis of Thermodynamic Equilibrium of Mass Transfer and Microbial Community Succession in Multiphase System of Dark Tea Solid-State FermentationZhanjun Liu, Jiawei Sun, Taotao Li et al.During the solid-state fermentation of dark tea, the limited material migration, the dynamic evolution of the thermodynamic equilibrium state, and the highly dynamic succession of the microbial community make it difficult to analyze the quality formation mechanism systematically. Traditional research has focused on microbial diversity or sensory quality analysis, lacking a systematic discussion on the regulatory effects of material migration … …American Journal of Biochemistry and Biotechnology, Vol. 22, Issue 3 · 10 Aug 2026 · 1,004 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Mathematical Model and Analysis for the COVID-19 InfectionJonathan Tsetimi, Marcus Ifeanyi Ossaiugbo, Augustine AtonujeThe dreaded COVID-19 is a communicable respiratory disease caused by a new strain of coronavirus that causes illness in humans. A study of the transmission dynamics of the disease is essential in the control and elimination of the disease. In this research work, we made some assumptions and employed a deterministic SEIR model in the study of the transmission dynamics … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 6 Jun 2022 · 6,023 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe SEIR Dynamical Transmission Model of Dengue Disease with and Without the Vertical Transmission of the VirusPratchaya Chanprasopchai, I. Ming Tang, Puntani PongsumpunThe transmission of dengue disease when there is a possibility of Vertical Transmission (VT) is studied using mathematical modeling. In the normal case, the mosquito is infected by the dengue virus when it bites an infectious human being. Evidence is gathering that the mosquitoes can also be infected through sexual contact with infected male mosquito. To see the possible consequence … …American Journal of Applied Sciences, Vol. 14, Issue 12 · 2 Jan 2018 · 9,057 accessesView PDFCite
Research ArticleOpen accessIn the abstractDiscovery of an Equilibrium Circle in the Circular Restricted Three Body ProblemFawzy A. Abd El-SalamProblem statement: A traial to find equilibrium points in out of plane of the restricted three body problem. Approach: Solution of the equations of motion at equilibrium points. Linearizing the equations of motion and computing the eigen values to investigate the stability. Results: New triangular equilibrium points in plane perpendicular to the plane of motion and passing through Lagrange triangular … …American Journal of Applied Sciences, Vol. 9, Issue 9 · 16 Jul 2012 · 7,362 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Stability and Bifurcation of Solutions of Nonlinear System of Differential Equations for AIDS DiseaseS. A.A. El-MaroufProblem statement: This study aims to discuss the stability and bifurcation of a system of ordinary differential equations expressing a general nonlinear model of HIV/AIDS which has great interests from scientists and researchers on mathematics, biology, medicine and education. The existance of equilibrium points and their local stability are studied for HIV/AIDS model with two forms of the incidence rates. … …American Journal of Applied Sciences, Vol. 9, Issue 7 · 24 Apr 2012 · 7,018 accessesView PDFCite
Research ArticleOpen accessIn the abstractComputation of the Locations of the Libration Points in the Relativistic Restricted Three-Body ProblemS.E. Abd El-Bar, F.A. Abd El-SalamProblem statement: In this study, the effects of Relativistic Restricted three-Body Problem (in brief RRTBP) on the equilibrium points of both triangular and collinear is considered. The approximate locations of the collinear and triangular points are determined. Series expansions are used to develope in µ and 1/c2 as small parameters. To check the validity of our solution, when ignoring 1/c2 … …American Journal of Applied Sciences, Vol. 9, Issue 5 · 29 Feb 2012 · 7,039 accessesView PDFCite
Research ArticleOpen accessIn the abstractGlobal Analysis of an Epidemic Model with Non-Linear Incidence RateS. A.A. El-Marouf, S. M. AlihabyProblem statement: In this study the equilibrium points and their local stability are found for SIQ and SIQR epidemic models with three forms of the incidence rates. Also, we study the global stability of the equilibrium by constructing the new forms of Liapounov functions. Conclusion/Recommendations: We explored the existence of Hopf bifurcation for some parameters in the given model. …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 28 Oct 2011 · 7,274 accessesView PDFCite