KaydedilenlerDerginizi ekleyin

Dergiler / Communication in Mathematical Modeling and Applications / 2018 / Cilt: 3 Sayı: 3

Stability analysis of infectious diseases model in a dynamic population

Joseph A. Akinyemi(Lagos State Polytechnic)
Micheal O. Adeniyi(Lagos State Polytechnic)
Angela U. Chukwu(University of Ibadan)
Sayfa
37–43
Yayın Tarihi
2018-12-31
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The global stability analysis of the disease free shows that the system is globally stable when the first derivative of Lyapunov function is negative.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The stability analysis of infectious disease model in a dynamic population is studied.The recruitment rate into the susceptible population is introduced since the population is dynamic thereby allowing a varying pouplation as a result of migration and birth.The model exhibited two equilibria: the disease free and endemic.
📊
Temel Bulgular & Veri:The local stability of the model is asymptotically stable when R0 < 1 and unstable when R0 > 1.
💡
Sonuç & Katkı:The global stability analysis of the disease free shows that the system is globally stable when the first derivative of Lyapunov function is negative.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Basic Reproduction Number · dynamic population · asymptotically stable

Abstract

The stability analysis of infectious disease model in a dynamic population is studied.The recruitment rate into the susceptible population is introduced since the population is dynamic thereby allowing a varying pouplation as a result of migration and birth.The model exhibited two equilibria: the disease free and endemic. The local stability of the model is asymptotically stable when R0 < 1 and unstable when R0 > 1. The global stability analysis of the disease free shows that the system is globally stable when the first derivative of Lyapunov function is negative.

🔖

Bu Makaleye Atıf Yap

Akinyemi, J. A., Adeniyi, M. O., Chukwu, A. U. (2018). Stability analysis of infectious diseases model in a dynamic population. Communication in Mathematical Modeling and Applications, Cilt: 3 Sayı: 3, 37–43. https://ajindex.com/articles/984279

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (10)

  1. A.A Momoh, M.O Ibrahim and B.A Madu (2011): Stability Analysis of an infectious disease free equilibrium of Hepatitis B model.Res.J. Applied sc,Eng and Tech 3(9):9005-9009.
  2. Chunqing Wu and Zhongy Jiang (2012): Global Stability for the Disease Free Equilibrium of a Delayed Model for Malaria Transmission:int J.Math anal;v (6)38 1877-1881.
  3. C. Vargas-De-Leon (2013): On the global stability of infectious diseases models with relapse; Abstraction & Application 9 pp 50-61.
  4. Guihua Li, Zhan Jim (2005): Global Stability of a SEIR epidemic model infectious rate in latent, infected and immune period.Elsevier:25 1177-1184.
  5. Hongbin Guio, Micheal Y Li and Zhisheng S (2006): Global Stability of the Endemic Equilibrium of Multigroup SIR Epidemic Models Cen.App.Math V(14).
  6. Rajinder Sharma (2014): Stability Analysis of Infectious Diseases with Media coverage and Poverty: Mathematical Theory and Modelling V(4).
  7. XiaMa, Y cang Zhou and Hui Cao (2013): Global Stability of the endemic equilibrium of a discrete SIR epidemic Model. Advance difference equation 42.
  8. Yu Zhang Lequan MIN. YuJi. Yongmei Su, Yang K (2010): Global Stability of Endemic Equilibrium point of Basic virus Infection model with Application to HBV infection, Journal of Systems Science and Complexity, December 2010, Volume 23, Issue 6, pp 1221–1230.
  9. Zack Yarus (2012): A Mathematical look at the Ebola virus. Published online. May 11 2012.
  10. C. Vargas-De-Leon (2013): On the global stability of infectious diseases models with relapse; Abstraction & Application 9 pp 50-61.