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34 articles for “equilibrium point”
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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 accessPhrase in the titleBIFURCATION ANALYSIS OF EQUILIBRIUM POINT IN TWO NODE POWER SYSTEMHalima Aloui, Faouzi Bacha, Moncef GasmiThis study presents a study of bifurcation in a dynamic power system model. It becomes one of the major precautions for electricity suppliers and these systems must maintain a steady state in the neighborhood of the operating points. We study in this study the dynamic stability of two node power systems theory and the stability of limit cycles emerging from … …American Journal of Applied Sciences, Vol. 11, Issue 4 · 29 Jan 2014 · 7,055 accessesView PDFCite
Research ArticleOpen accessIn the keywordsEffect of Mosquito Repellent on the Transmission Model of Chikungunya FeverSurapol Naowarat, Prasit Thongjaem, I. Ming TangProblem statement: In 2008 there was a large outbreak of Chikungunya fever in southern Thailand. Chikungunya fever is an emerging disease which tends to affect rubber plantation and fruit orchard workers more than other occupation. This study we considers the efficacy of using mosquito repellent as a way to prevent and control the spread of Chikungunya fever. The mathematical model … …American Journal of Applied Sciences, Vol. 9, Issue 4 · 14 Feb 2012 · 7,514 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 keywordsDynamics of Infected Snails and Mated Schistosoma Worms within the Human HostG. Besigye-Bafaki, L. S. LuboobiMale and female worms are independently distributed within a human host each with a Poisson probability distribution mass function. Mating takes place immediately when partners are available. It was found that the mated worm function is non-linear near the origin and becomes almost linear as the worms increase. They increase with increase in the worm load due to aggregation of … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,237 accessesView PDFCite
Research ArticleOpen accessIn the keywordsTransmission Model of Chikungunya Fever in the Presence of Two Species of Aedes MosquitoesSurapol Naowarat, I. Ming TangIn 2008 there was a large outbreak of Chikungunya fever in the south of Thailand. Chikungunya fever is a febrile disease transmitted to humans by the bite of infected Aedes mosquitoes. The symptoms of this disease are a sudden onset of a fever, chills, headache, nausea, vomiting, joint pain with or without swelling, low back pain and rash. In this … …American Journal of Applied Sciences, Vol. 10, Issue 5 · 27 May 2013 · 7,228 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 abstractConstructing Gibbs Measure in a Rigorous WayFarida Kachapova, Ilias KachapovEquilibrium statistical mechanics studies mathematical models for physical systems with many particles interacting with an external force and with one another. In this paper we describe an interaction model that generalizes several of these models in one model. An infinite model is constructed as the limiting case of finite interaction models, that is as a thermodynamic limit. The key point … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 29 Oct 2019 · 6,591 accessesView PDFCite