Open AccessCompetitive analysis for stochastic influenza model with constant vaccination strategy
Author(s) -
Baleanu Dumitru,
Raza Ali,
Rafiq Muhammad,
Arif Muhammad Shoaib,
Ali Muhammad Asghar
Publication year - 2019
Publication title -
iet systems biology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.367
H-Index - 50
eISSN - 1751-8857
pISSN - 1751-8849
DOI - 10.1049/iet-syb.2019.0065
Subject(s) - constant (computer programming) , stochastic modelling , consistency (knowledge bases) , vaccination , mathematics , population , epidemic model , influenza vaccine , stochastic process , mathematical optimization , mathematical economics , computer science , statistics , virology , medicine , discrete mathematics , environmental health , programming language
This manuscript discusses a competitive analysis of stochastic influenza model with constant vaccination strategy. The stochastic influenza model is comparatively more pragmatic versus the deterministic influenza model. The effect of influenza generation number holds in the stochastic model. If the value of this number is less than one, this situation will help us to control the disease in a population. A greater than one value of this threshold number shows the persistence of disease to become endemic. The proposed structure for the stochastic influenza model as stochastic non‐standard finite difference scheme conserve all vital characteristics like positivity, boundedness and dynamical consistency defined by Mickens.