Results 41 to 50 of about 236 (105)

Global Stability of McKeithan's Kinetic Proofreading Model for T-Cell Receptor Signal Transduction [PDF]

arXiv, 1999
This note presents a self-contained and streamlined exposition of chemical-network results due to Feinberg, Horn, and Jackson. As an application, it shows the global asymptotic stability to equilibria of McKeithan's kinetic proofreading model for T-cell receptor signal transduction.
arxiv  

Global Stability analysis of a cellular model of Hepatitis C Virus infection under treatment [PDF]

arXiv, 2019
In this paper, we present the global analysis of a HCV model under therapy. We prove that the solutions with positive initial values are global, positive, bounded and not display periodic orbits. In addition, we show that the model is globally asymptotically stable, by using appropriate Lyapunov functions.
arxiv  

Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations [PDF]

arXiv, 2013
In this paper we show that if a linear cocycle is robustly periodical stable then it is uniformly stable.
arxiv  

On the stability analysis of periodic sine-Gordon traveling waves [PDF]

, 2012
We study the spectral stability properties of periodic traveling waves in the sine-Gordon equation, including waves of both subluminal and superluminal propagation velocities as well as waves of both librational and rotational types. We prove that only subluminal rotational waves are spectrally stable and establish exponential instability in the other ...
arxiv   +1 more source

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

Computational 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

A class of diffusive delayed viral infection models with general incidence function and cellular proliferation. [PDF]

Arab J Math, 2023
Nangue A, Tacteu Fokam WA.
europepmc   +1 more source

Modelling measles transmission dynamics and the impact of control strategies on outbreak Management

Journal of Biological Dynamics
Measles is a highly contagious and potentially fatal disease, despite the availability of effective immunizations. This study formulates a deterministic mathematical model to investigate the transmission dynamics of measles, with eight compartments ...
Olumuyiwa James Peter
doaj   +1 more source

An Infinite-Time Relaxation Theorem for Differential Inclusions [PDF]

arXiv, 2001
The fundamental relaxation result for Lipschitz differential inclusions is the Filippov-Wazewski Relaxation Theorem, which provides approximations of trajectories of a relaxed inclusion on finite intervals. A complementary result is presented, which provides approximations on infinite intervals, but does not guarantee that the approximation and the ...
arxiv  

The Markus-Yamabe Conjecture for Differentiable vector fields of R^2 [PDF]

arXiv, 2003
(a) Let X=(f,g) be a differentiable map in the plane (not necessarily C^1) and let Spec(X) be the set of (complex) eigenvalues of the derivative DX(p) when p varies in R^2. If, for some \epsilon>0, the set Spec(X) is disjoint of [0,\epsilon) then X is injective.
arxiv  

Dynamics of a fractional COVID-19 model with immunity using harmonic incidence mean-type. [PDF]

J Appl Math Comput, 2023
Mohankumar N, Rajagopal L.
europepmc   +1 more source