Results 51 to 60 of about 210 (144)
New approach to asymptotic stability: time‐varying nonlinear systems
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 347-366, 1997., 1995 The results of the paper concern a broad family of time‐varying nonlinear systems with differentiable motions. The solutions are established in a form of the necessary and sufficient conditions for: 1) uniform asymptotic stability of the zero state, 2) for an exact single construction of a system Lyapunov function and 3) for an accurate single ...
L. T. Grujić
wiley +1 more source
Stability of a secondary dengue viral infection model with multi-target cells
Alexandria Engineering Journal, 2022 Dengue is one of the vector-borne diseases spread in most parts of the world. The number of infected individuals is increased each year. This paper proposes a mathematical model describing the secondary dengue viral infection in micro-environment.
M.A. Alshaikh +2 more
doaj +1 more source
ULTIMATE BOUNDEDNESS RESULTS FOR SOLUTIONS OF CERTAIN THIRD ORDER NONLINEAR MATRIX DIFFERENTIAL EQUATIONS [PDF]
, 2010 . We present in this paper ultimate boundedness results for a third order nonlinear matrix differential equations of the form where A, B are constant symmetric n × n matrices, X, H(X) and P (t, X,Ẋ,Ẍ) are real n × n matrices continuous in their ...
M O Omeike, A U Afuwape
core
Fractional Linear Systems With Nonsingular Kernel: Explicit Solutions and Ulam–Hyers Stability
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper is devoted to the explicit representation of solutions for a class of differential equations involving the Caputo–Fabrizio fractional derivative with a nonsingular kernel. Motivated by the lack of explicit representation formulas for Caputo–Fabrizio fractional systems in the existing literature, two distinct approaches based on Laplace ...
Mustafa Aydin, Smritijit Sen
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates a new class of coupled fractional‐order systems driven by the generalized weighted fractional operator in the Caputo sense, recently introduced with a modified Mittag‐Leffler kernel and an auxiliary strictly increasing function φ. This operator provides a unified framework that recovers many well‐known fractional derivatives and
Fawziah M. Alotaibi, Smritijit Sen
wiley +1 more source
Stability analysis for the phytoplankton-zooplankton model with depletion of dissolved oxygen and strong Allee effects [PDF]
Availability of data and materials: Data sharing is not applicable to this article as no data-sets were generated or analyzed during this study.MSC 2020: 34D05, 34D20, 34D23, 34D45, 92D40, 92D25.The photosynthetic activity of phytoplankton in the seas ...
Ali, A, Winter, M, Jawad, S, Ali, AH
core +1 more source
Classical and fractional analysis of the effects of Silicosis in a Mining Community
Alexandria Engineering Journal, 2020 A mathematical model for the transmission dynamics of silicosis in a mining environment is designed and its qualitative analysis is given. The model takes into account the severity of silica dust exposure in a mining environment.
H.M. Tenkam +5 more
doaj +1 more source
A Fractional‐Order Peer Influence Mathematical Model
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this article, a fractional‐order mathematical model is used to simulate peer influence using the Liouville–Caputo framework. Our model was made up of four states, which describe friends, negatively behaved friends, parental guidance, and positively behaved friends.
Patience Pokuaa Gambrah +5 more
wiley +1 more source
Optimal Control for a COVID-19 Model Accounting for Symptomatic and Asymptomatic
Computational and Mathematical Biophysics, 2020 Building on an SEIR-type model of COVID-19 where the infecteds are further divided into symptomatic and asymptomatic, a system incorporating the various possible interventions is formulated.
Macalisang Jead M. +3 more
doaj +1 more source
Modelling the leadership role of police in controlling COVID-19
Computational and Mathematical BiophysicsDuring the recent Coronavirus disease (COVID-19) pandemic, different parts of the globe faced indefinite lockdowns. To maintain the lockdown measures, government authorities deployed security forces and police.
Singh Vikram +3 more
doaj +1 more source