Statistical physics of vaccination

Z Wang, CT Bauch, S Bhattacharyya, A d'Onofrio… - Physics Reports, 2016 - Elsevier
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 …

Early prediction of the 2019 novel coronavirus outbreak in the mainland China based on simple mathematical model

L Zhong, L Mu, J Li, J Wang, Z Yin, D Liu - IEEE access, 2020 - ieeexplore.ieee.org
The 2019 novel coronavirus (2019-nCoV) outbreak has been treated as a Public Health
Emergency of International Concern by the World Health Organization. This work made an …

On Analysis of fractional order mathematical model of Hepatitis B using Atangana–Baleanu Caputo (ABC) derivative

A Din, Y Li, FM Khan, ZU Khan, P Liu - Fractals, 2022 - World Scientific
The scaling exponent of a hierarchy of cities used to be regarded as a fractional. This paper
investigates a newly constructed system of equation for Hepatitis B disease in sense of …

[KNIHA][B] Dynamical systems and population persistence

HL Smith, HR Thieme - 2011 - books.google.com
" The mathematical theory of persistence answers questions such as which species, in a
mathematical model of interacting species, will survive over the long term. It applies to …

Stationary distribution extinction and optimal control for the stochastic hepatitis B epidemic model with partial immunity

A Din, Y Li - Physica Scripta, 2021 - iopscience.iop.org
In this paper, a stochastic model (with random noise transmission) is designed. The model
possesses substantial potential to describe the dynamical behavior of the Hepatitis B (HBV) …

Vaccine-induced pathogen strain replacement: what are the mechanisms?

M Martcheva, BM Bolker… - Journal of the Royal …, 2008 - royalsocietypublishing.org
Host immune systems impose natural selection on pathogen populations, which respond by
evolving different antigenic signatures. Like many evolutionary processes, pathogen …

Global stability analysis of two strains epidemic model with imperfect vaccination and immunity waning in a complex network

Y Wu, Z Zhang, L Song, C **a - Chaos, Solitons & Fractals, 2024 - Elsevier
For some epidemic diseases, there exist several strains of the pathogen, which can pose a
challenge in controlling the disease and result in complicated dynamics, such as dengue …

On the formulation of epidemic models (an appraisal of Kermack and McKendrick)

D Breda, O Diekmann, WF de Graaf… - Journal of biological …, 2012 - Taylor & Francis
Full article: On the formulation of epidemic models (an appraisal of Kermack and McKendrick)
Skip to Main Content Taylor and Francis Online homepage Browse Search Publish Login …

[KNIHA][B] Age structured epidemic modeling

XZ Li, J Yang, M Martcheva - 2020 - books.google.com
This book introduces advanced mathematical methods and techniques for analysis and
simulation of models in mathematical epidemiology. Chronological age and class-age play …

Global stability of an SVIR model with age of vaccination

X Duan, S Yuan, X Li - Applied Mathematics and Computation, 2014 - Elsevier
Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR
epidemic model with age of vaccination is considered. The model allows the vaccinated …