Results 71 to 80 of about 707 (130)

On the Ψ − Conditional Asymptotic Stability of a Nonlinear Lyapunov Matrix Differential Equation with Integral Term as Right Side

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science
The aim of this paper is to give sufficient conditions for Ψ − conditional asymptotic stability of the Ψ − bounded solutions of a nonlinear Lyapunov matrix differential equation with integral term as right side.
Diamandescu Aurel
doaj   +1 more source

Global stability of the coexistence equilibrium for a general class of models of facultative mutualism [PDF]

open access: yes, 2017
Many models of mutualism have been proposed and studied individually. In this paper, we develop a general class of models of facultative mutualism that covers many of such published models. Using mild assumptions on the growth and self-limiting functions,
Berec, Ludek   +3 more
core   +1 more source

Assessing the impact of information-induced self-protection on Zika transmission: A mathematical modeling approach

open access: yesComputational and Mathematical Biophysics
As per the World Health Organization’s (WHO’s) suggestions, personal protection via adopting precautionary measures is one of the most effective control aspects to avoid Zika infection in the absence of suitable medical treatment.
Manisha, Nidhi, Kumar Anuj
doaj   +1 more source

Time-delayed modelling of the COVID-19 dynamics with a convex incidence rate. [PDF]

open access: yesInform Med Unlocked, 2022
Babasola O   +4 more
europepmc   +2 more sources

Weak instability of Hamiltonian equilibria

open access: yes, 2012
This is an expository paper on Lyapunov stability of equilibria of autonomous Hamiltonian systems. Our aim is to clarify the concept of weak instability, namely instability without non-constant motions which have the equilibrium as limit point as time ...
Zampieri, Gaetano
core  

On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method

open access: yesAlexandria Engineering Journal, 2020
We present a fractional-order epidemic model for childhood diseases with the new fractional derivative approach proposed by Caputo and Fabrizio. By applying the Laplace Adomian decomposition method (LADM), we solve the problem and the solutions are ...
Dumitru Baleanu   +3 more
doaj   +1 more source

Study of transmission pattern of COVID-19 among cardiac and noncardiac population using a nonlinear mathematical model

open access: yesComputational and Mathematical Biophysics
Recent studies have intensified the risk of post-COVID-19 cardiovascular diseases. In an effort to understand the intricate dynamics of COVID-19 infection, this article suggests a four-compartment model to portray the dynamic interplay between the ...
Shirisha Gopishetty, Vernekar Saroj
doaj   +1 more source

On nonuniform exponential stability for skew-evolution semiflows on Banach spaces

open access: yes, 2010
The paper considers some concepts of nonuniform asymptotic stability for skew-evolution semiflows on Banach spaces. The obtained results clarify differences between the uniform and nonuniform cases.
Megan, Mihail, Stoica, Codruta
core   +1 more source

Understanding biofilm--phage interactions in cystic fibrosis patients using mathematical frameworks

open access: yesComputational and Mathematical Biophysics
When planktonic bacteria adhere together to a surface, they begin to form biofilms, communities of bacteria. Biofilm formation in a host can be extremely problematic if left untreated, especially since antibiotics can be ineffective in treating the ...
Emerenini Blessing O.   +6 more
doaj   +1 more source

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

open access: yes
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  

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