Global threshold dynamics of an SIVS model with waning vaccine-induced immunity and nonlinear incidence

2015 ◽  
Vol 268 ◽  
pp. 1-8 ◽  
Author(s):  
Junyuan Yang ◽  
Maia Martcheva ◽  
Lin Wang
Keyword(s):  
Threshold Dynamics ◽  
Nonlinear Incidence ◽  
Global Threshold ◽  
Induced Immunity

scholarly journals Global threshold dynamics of an SVIR model with age-dependent infection and relapse

2016 ◽  
Vol 11 (sup2) ◽  
pp. 427-454 ◽  
Author(s):  
Jinliang Wang ◽  
Jiying Lang ◽  
Yuming Chen
Keyword(s):  
Threshold Dynamics ◽  
Global Threshold ◽  
Age Dependent

Global threshold dynamics of an age structured alcoholism model

2021 ◽  
pp. 2150013
Author(s):  
Soufiane Bentout ◽  
Salih Djilali ◽  
Abdenasser Chekroun
Keyword(s):  
Basic Reproduction Number ◽  
Reproduction Number ◽  
Threshold Dynamics ◽  
Global Behavior ◽  
Asymptotically Stable ◽  
Globally Asymptotically Stable ◽  
Global Threshold ◽  
Age Structured ◽  
The Basic Reproduction Number ◽  
Proper Strategy

We consider in this research an age-structured alcoholism model. The global behavior of the model is investigated. It is proved that the system has a threshold dynamics in terms of the basic reproduction number (BRN), where we obtained that alcohol-free equilibrium (AFE) is globally asymptotically stable (GAS) in the case [Formula: see text], but for [Formula: see text] we found that the system persists and the nontrivial equilibrium (EE) is GAS. Furthermore, the effects of the susceptible drinkers rate and the repulse rate of the recovers to alcoholics are investigated, which allow us to provide a proper strategy for reducing the spread of alcohol use in the studied populations. The obtained mathematical results are tested numerically next to its biological relevance.

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