Statistical physics of vaccination
Historically, infectious diseases caused considerable damage to human societies, and they
continue to do so today. To help reduce their impact, mathematical models of disease …
continue to do so today. To help reduce their impact, mathematical models of disease …
WKB theory of large deviations in stochastic populations
Stochasticity can play an important role in the dynamics of biologically relevant populations.
These span a broad range of scales: from intra-cellular populations of molecules to …
These span a broad range of scales: from intra-cellular populations of molecules to …
[HTML][HTML] A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis
LJS Allen - Infectious Disease Modelling, 2017 - Elsevier
Some mathematical methods for formulation and numerical simulation of stochastic
epidemic models are presented. Specifically, models are formulated for continuous-time …
epidemic models are presented. Specifically, models are formulated for continuous-time …
Heterogeneity matters: Contact structure and individual variation shape epidemic dynamics
In the recent COVID-19 pandemic, mathematical modeling constitutes an important tool to
evaluate the prospective effectiveness of non-pharmaceutical interventions (NPIs) and to …
evaluate the prospective effectiveness of non-pharmaceutical interventions (NPIs) and to …
[HTML][HTML] A new fractional-order compartmental disease model
In this paper, we propose a new SEIRS model and are concerned with stability and
numerical solutions of the model. The model is generated under certain assumptions such …
numerical solutions of the model. The model is generated under certain assumptions such …
Probability of disease extinction or outbreak in a stochastic epidemic model for west nile virus dynamics in birds
M Maliyoni - Acta Biotheoretica, 2021 - Springer
Thresholds for disease extinction provide essential information for the prevention and
control of diseases. In this paper, a stochastic epidemic model, a continuous-time Markov …
control of diseases. In this paper, a stochastic epidemic model, a continuous-time Markov …
Resistance, tolerance and environmental transmission dynamics determine host extinction risk in a load‐dependent amphibian disease
While disease‐induced extinction is generally considered rare, a number of recently
emerging infectious diseases with load‐dependent pathology have led to extinction in …
emerging infectious diseases with load‐dependent pathology have led to extinction in …
Solutions of a disease model with fractional white noise
We consider an epidemic disease system by an additive fractional white noise to show that
epidemic diseases may be more competently modeled in the fractional-stochastic settings …
epidemic diseases may be more competently modeled in the fractional-stochastic settings …
[HTML][HTML] Nearly reducible finite Markov chains: Theory and algorithms
DJ Sharpe, DJ Wales - The Journal of Chemical Physics, 2021 - pubs.aip.org
Finite Markov chains, memoryless random walks on complex networks, appear commonly
as models for stochastic dynamics in condensed matter physics, biophysics, ecology …
as models for stochastic dynamics in condensed matter physics, biophysics, ecology …
Integer versus fractional order SEIR deterministic and stochastic models of measles
In this paper, we compare the performance between systems of ordinary and (Caputo)
fractional differential equations depicting the susceptible-exposed-infectious-recovered …
fractional differential equations depicting the susceptible-exposed-infectious-recovered …