Investigating the impact of memory effects on computer virus population dynamics: A fractal–fractional approach with numerical analysis

İ Avcı, A Hussain, T Kanwal - Chaos, Solitons & Fractals, 2023 - Elsevier
In this study, we investigate the impact of memory effects through the application of the
fractal–fractional derivative operator on population dynamics in computer viruses. By …

Lévy flights versus Lévy walks in bounded domains

B Dybiec, E Gudowska-Nowak, E Barkai, AA Dubkov - Physical Review E, 2017 - APS
Lévy flights and Lévy walks serve as two paradigms of random walks resembling common
features but also bearing fundamental differences. One of the main dissimilarities is the …

Effect of density-dependent individual movement on emerging spatial population distribution: Brownian motion vs Levy flights

J Ellis, N Petrovskaya, S Petrovskii - Journal of theoretical biology, 2019 - Elsevier
Individual animal movement has been a focus of intense research and considerable
controversy over the last two decades, however the understanding of wider ecological …

Solution of the space-fractional diffusion equation on bounded domains of superdiffusive phenomena

DA Monroy, EP Raposo - Physical Review E, 2024 - APS
Space-fractional diffusion equations find widespread application in nature. They govern the
anomalous dynamics of many stochastic processes, generalizing the standard diffusion …

Revisiting Lévy flights on bounded domains: a Fock space approach

HA Araújo, MO Lukin, MGE da Luz… - Journal of Statistical …, 2020 - iopscience.iop.org
The statistical description of a one-dimensional superdiffusive Lévy flier restricted to a finite
domain is well known to be technically involving. For example, in this type of process the …

Superdifusão em espaços finitos e derivadas fracionárias

HA ARAÚJO - 2017 - bdtd.ibict.br
Esta tese tem como objetivo a investigação teórica das propriedades estatísticas de um
caminhante aleatório cuja distribuição de passos é dada pela distribuição a-estável de …

Abordagem do espaço de Fock para caminhadas aleatórias de Lévy em um intervalo unidimensional: tempo médio de primeira passagem e probabilidades de …

NS NICOLÁU - 2022 - bdtd.ibict.br
Estudamos o problema de uma partícula em movimento aleatório com distribuição de
tamanhos de saltos do tipo α-estável de Lévy em um domínio finito unidimen-sional com …

[PDF][PDF] Effect of density-dependent individual movement on emerging spatial population distribution

J Ellis, N Petrovskaya, S Petrovskii - pure-oai.bham.ac.uk
Individual animal movement has been a focus of intense research and considerable
controversy over the last two decades, however the understanding of wider ecological …

Non-Markovian Lévy dynamics and the effect of the underlying time correlation

JD Bao - Journal of Statistical Mechanics: Theory and …, 2017 - iopscience.iop.org
The combined effect of symmetric α-stable Lévy flights and their underlying time correlations,
namely, non-Markovian Lévy dynamics, is studied. By the use of the propagation function …