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3 articles for “Stability of equilibria”
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Variable Mass of a Test Particle in Copenhagen Problem with Manev-Type Potential
Abstract: AbstractThis study deals the behavior of the motion of a test particle (third body) in the special case of the circular restricted three-body problem when the mass of the test particle varies according to Jeans law and also considered that the equal mass of the primaries generates the Manev-type potentials. This special case of a restricted problem is known as the Copenhagen problem. We derive the equations of motion of …
Published in Research & Reviews : Journal of Physics · Vol. 9, Issue 1, 2020 · pp. 17–27 Read article
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Mathematical Modeling of Tumor Growth and Immune System Interaction Incorporating Time Delays and Suppression Effects for Tumor Control
Abstract: Cancer growth is a complex biological process influenced by various factors, including the dynamic interaction between tumor cells and the host immune system. Mathematical modeling serves as a powerful tool to understand these interactions and predict the outcomes of different therapeutic strategies. This study presents a mathematical framework that captures the essential dynamics of tumor-immune interactions, specifically incorporating the effects of time delay and immune suppression mechanisms. Time delay accounts …
Published in Research and Reviews : A Journal of Immunology · Vol. 15, Issue 3, 2025 · pp. 25–34 Read article
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Study of Proximity Points and Fixed Points
Abstract: This paper explores the concepts of proximity points and fixed points, which are fundamental in mathematical analysis and nonlinear functional analysis. Fixed-point theorems play a crucial role in optimization, game theory, differential equations, and dynamic systems. Proximity points, an extension of fixed points, provide a more generalized approach, allowing near-coincidence rather than exact identity. The study discusses classical fixed-point theorems, such as Banach’s contraction principle, Brouwer’s fixed-point theorem, and Schauder’s …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 28–31 Read article