Epidemiological models with prevalence dependent endogenous self-protection measure

Semu Mitiku Kassa, Aziz Ouhinou

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

A simple mathematical model for human disease epidemics that takes the human learning behaviour and self-protective measures into account is proposed and investigated. We have analysed the effect of endogenous self-protective measures with respect to the prevalence level of the disease and conversely. In the model it is assumed that people start reacting against contracting a disease with self-protective measures whenever they are informed about the disease and when the burden of the disease is in a recognizable stage. It is shown that increasing the average effectiveness of self-protective measures is more important in decreasing the prevalence of a disease than increasing the proportion of individuals in a population into which awareness is created.

Original languageEnglish
Pages (from-to)41-49
Number of pages9
JournalMathematical Biosciences
Volume229
Issue number1
DOIs
Publication statusPublished - Jan 2011

Fingerprint

Epidemiological Model
burden of disease
disease prevalence
human diseases
mathematical models
learning
Dependent
Proportion
Theoretical Models
Learning
Mathematical Model
Mathematical models
Population

All Science Journal Classification (ASJC) codes

  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Applied Mathematics
  • Modelling and Simulation
  • Statistics and Probability
  • Medicine(all)

Cite this

@article{de01c4712444422ca173e2ea65d61e6e,
title = "Epidemiological models with prevalence dependent endogenous self-protection measure",
abstract = "A simple mathematical model for human disease epidemics that takes the human learning behaviour and self-protective measures into account is proposed and investigated. We have analysed the effect of endogenous self-protective measures with respect to the prevalence level of the disease and conversely. In the model it is assumed that people start reacting against contracting a disease with self-protective measures whenever they are informed about the disease and when the burden of the disease is in a recognizable stage. It is shown that increasing the average effectiveness of self-protective measures is more important in decreasing the prevalence of a disease than increasing the proportion of individuals in a population into which awareness is created.",
author = "Kassa, {Semu Mitiku} and Aziz Ouhinou",
year = "2011",
month = "1",
doi = "10.1016/j.mbs.2010.10.007",
language = "English",
volume = "229",
pages = "41--49",
journal = "Mathematical Biosciences",
issn = "0025-5564",
publisher = "Elsevier Inc.",
number = "1",

}

Epidemiological models with prevalence dependent endogenous self-protection measure. / Kassa, Semu Mitiku; Ouhinou, Aziz.

In: Mathematical Biosciences, Vol. 229, No. 1, 01.2011, p. 41-49.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Epidemiological models with prevalence dependent endogenous self-protection measure

AU - Kassa, Semu Mitiku

AU - Ouhinou, Aziz

PY - 2011/1

Y1 - 2011/1

N2 - A simple mathematical model for human disease epidemics that takes the human learning behaviour and self-protective measures into account is proposed and investigated. We have analysed the effect of endogenous self-protective measures with respect to the prevalence level of the disease and conversely. In the model it is assumed that people start reacting against contracting a disease with self-protective measures whenever they are informed about the disease and when the burden of the disease is in a recognizable stage. It is shown that increasing the average effectiveness of self-protective measures is more important in decreasing the prevalence of a disease than increasing the proportion of individuals in a population into which awareness is created.

AB - A simple mathematical model for human disease epidemics that takes the human learning behaviour and self-protective measures into account is proposed and investigated. We have analysed the effect of endogenous self-protective measures with respect to the prevalence level of the disease and conversely. In the model it is assumed that people start reacting against contracting a disease with self-protective measures whenever they are informed about the disease and when the burden of the disease is in a recognizable stage. It is shown that increasing the average effectiveness of self-protective measures is more important in decreasing the prevalence of a disease than increasing the proportion of individuals in a population into which awareness is created.

UR - http://www.scopus.com/inward/record.url?scp=78650748160&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650748160&partnerID=8YFLogxK

U2 - 10.1016/j.mbs.2010.10.007

DO - 10.1016/j.mbs.2010.10.007

M3 - Article

C2 - 21056588

AN - SCOPUS:78650748160

VL - 229

SP - 41

EP - 49

JO - Mathematical Biosciences

JF - Mathematical Biosciences

SN - 0025-5564

IS - 1

ER -