Effective drifts in dynamical systems with multiplicative noise: a review of recent progress
G Volpe, J Wehr - Reports on Progress in Physics, 2016 - iopscience.iop.org
Noisy dynamical models are employed to describe a wide range of phenomena. Since exact
modeling of these phenomena requires access to their microscopic dynamics, whose time …
modeling of these phenomena requires access to their microscopic dynamics, whose time …
A reliable and competitive mathematical analysis of Ebola epidemic model
The purpose of this article is to discuss the dynamics of the spread of Ebola virus disease
(EVD), a kind of fever commonly known as Ebola hemorrhagic fever. It is rare but severe and …
(EVD), a kind of fever commonly known as Ebola hemorrhagic fever. It is rare but severe and …
Mathematical analysis to control the spread of Ebola virus epidemic through voluntary vaccination
Ebola virus disease (EVD) is one of the deadliest viral infections that has caused a serious
global health problem in the known human history. It was first transmitted to humans through …
global health problem in the known human history. It was first transmitted to humans through …
Lotka--Volterra Competition Model on Graphs
A Slavík - SIAM Journal on Applied Dynamical Systems, 2020 - SIAM
We consider a model of two competing species of Lotka--Volterra type with diffusion
(migration), where the spatial domain is an arbitrary finite graph (network). Depending on …
(migration), where the spatial domain is an arbitrary finite graph (network). Depending on …
SDE decomposition and A-type stochastic interpretation in nonequilibrium processes
An innovative theoretical framework for stochastic dynamics based on the decomposition of
a stochastic differential equation (SDE) into a dissipative component, a detailed-balance …
a stochastic differential equation (SDE) into a dissipative component, a detailed-balance …
Potential landscape of high dimensional nonlinear stochastic dynamics with large noise
Quantifying stochastic processes is essential to understand many natural phenomena,
particularly in biology, including the cell-fate decision in developmental processes as well as …
particularly in biology, including the cell-fate decision in developmental processes as well as …
Dynamic polarizabilities for the low-lying states of Ca
YB Tang, HX Qiao, TY Shi, J Mitroy - … Review A—Atomic, Molecular, and Optical …, 2013 - APS
The dynamic polarizabilities of the 4 s, 3 d, and 4 p states of Ca+, are calculated using a
relativistic structure model. The wavelengths at which the Stark shifts between different pairs …
relativistic structure model. The wavelengths at which the Stark shifts between different pairs …
Finding non-polynomial positive invariants and Lyapunov functions for polynomial systems through Darboux polynomials
In this paper, we focus on finding positive invariants and Lyapunov functions to establish
reachability and stability properties, respectively, of polynomial ordinary differential …
reachability and stability properties, respectively, of polynomial ordinary differential …
Exploring a noisy van der Pol type oscillator with a stochastic approach
Based on conventional Ito or Stratonovich interpretation, zero-mean multiplicative noise can
induce shifts of attractors or even changes of topology to a deterministic dynamics. Such …
induce shifts of attractors or even changes of topology to a deterministic dynamics. Such …
[HTML][HTML] Mathematical modeling and analysis of Ebola virus disease dynamics: implications for intervention strategies and healthcare resource optimization
I Ullah, I Ahmad, N Ali, IU Haq, M Idrees… - Mathematical and …, 2024 - mdpi.com
This study implements a minded approach to studying Ebola virus disease (EVD) by dividing
the infected population into aware and unaware groups and including a hospitalized …
the infected population into aware and unaware groups and including a hospitalized …