Results 51 to 60 of about 222 (141)

Thermo‐Environmental Modeling of Cholera Dynamics: Integrating Temperature‐Dependent Transmission and Exergy Analysis for System Stability

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
As global climate anomalies alter aquatic ecosystems, traditional epidemiological models frequently overlook the fundamental thermodynamic laws governing environmental pathogen reservoirs. This study bridges that critical gap by introducing a novel thermo‐environmental modeling framework that couples the transmission dynamics of water‐borne cholera ...
Berhe N. Kahsay, Teklebrhan B. Abraha, Oluwole D. Makinde, Shikha Binwal   +3 more
wiley   +1 more source

The strict stability of dynamic systems on time scales

International Journal of Stochastic Analysis, Volume 14, Issue 2, Page 195-204, 2001., 2001
The strict stability of dynamic systems on time scales is examined with sufficient conditions. Results analogous to Lyapunov′s theorems ae proved and discussed using a comparison principle.
S. Sivasundaram
wiley   +1 more source

Modeling of the switching effect on two prey and one predator with the presence of Allee effects and refuge

Computational and Mathematical Biophysics
To examine the dynamics of a predator’s interaction with two prey species, this study develops a comprehensive mathematical model that accounts for ecological complexities, including the Allee effect, prey switching behavior, and prey refuge.
Kadhim Atheer Jawad, Elobaid Rafida M., Al-Saidi Nadia M. G., Jaber Ahamed Shawki   +3 more
doaj   +1 more source

© Hindawi Publishing Corp. LYAPUNOV STABILITY SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS [PDF]

, 2003
Lyapunov stability and asymptotic stability conditions for the solutions of the fractional integrodiffrential equations x (α)(t) = f(t,x(t)) + ∫ t t0 K(t,s,x(s))ds, 0<α ≤ 1, with the initial condition x (α−1)(t0) = x0, have been investigated.
Samir Hadid, Shaher Momani
core  

Hyers–Ulam Stability of Hadamard Fractional Stochastic Differential Equations With Time Delay

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
We study the Hyers–Ulam stability of Hadamard fractional stochastic differential equations with a constant time delay, in which both the drift and the diffusion coefficients depend on the current state ϱ(κ) and on the delayed state ϱ(κ − τ), and the solution is subject to a prescribed history on [1 − τ, 1] together with a singular Hadamard‐type initial
Hend Aljahani, Foued Mtiri, Hamed Ould Sidi, Omar Naifar, Abdellatif Ben Makhlouf, Xian-Ming Gu   +5 more
wiley   +1 more source

Second method of Lyapunov for stability of linear impulsive differential‐difference equations with variable impulsive perturbations

International Journal of Stochastic Analysis, Volume 11, Issue 2, Page 209-216, 1998., 1997
The present work is devoted to the study of stability of the zero solution to linear impulsive differential‐difference equations with variable impulsive perturbations. With the aid of piecewise continuous auxiliary functions, which are generalizations of the classical Lyapunov′s functions, sufficient conditions are found for the uniform stability and ...
D. D. Bainov, I. M. Stamova, A. S. Vatsala   +2 more
wiley   +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  

Existence and Stability Theorems for Implicit Neutral Fractional Integrodifferential Equations With Computational Results

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates a class of nonlinear implicit neutral integrodifferential equations involving Hilfer–Katugampola fractional operators, which provide an effective framework for describing dynamical systems with memory and hereditary properties. By converting the considered problem into an equivalent fractional integral equation, we show that the
Manal Elzain Mohamed Abdalla, Hasanen A. Hammad, Tarek Aboelenen, Mohammed S. Abdo   +3 more
wiley   +1 more source

Generalized stability of motion of impulsive Lurie‐Postnikov systems with structural perturbation

International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 481-492, 1998., 1997
This paper investigates the absolute stability on ℊs of the zero solution of Lurie‐Postnikov systems with impulses and structural perturbation. A number of absolutely stable on ℊs theorems of the Lyapunov type for Lurie‐Postnikov systems are proved, extending and generalizing previous work on the subject.
A. A. Martynyuk, I. P. Stavroulakis
wiley   +1 more source

On Lr-norm-based derivatives and fuzzy Henstock-Kurzweil integrals with an application

Alexandria Engineering Journal, 2023
The fundamental theorem of calculus not only plays an important role in the study of differential equation theory, but also in many practical problems solving.
Yabin Shao, Yubing Li, Zengtai Gong
doaj   +1 more source