Research Article

Stability analysis of infectious diseases model in a dynamic population

Volume: 3 Number: 3 December 31, 2018
  • Joseph A. Akinyemi *
  • Micheal O. Adeniyi
  • Angela U. Chukwu
Communication in Mathematical Modeling and Applications Cover
Communication in Mathematical Modeling and Applications
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Stability analysis of infectious diseases model in a dynamic population

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.

Keywords

References

  1. [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. [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. [3] C. Vargas-De-Leon (2013): On the global stability of infectious diseases models with relapse ; Abstraction & Application 9 pp 50-61.
  4. [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. [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. [6] Rajinder Sharma (2014): Stability Analysis of Infectious Diseases with Media coverage and Poverty: Mathematical Theory and Modelling V(4).
  7. [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. [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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Joseph A. Akinyemi * This is me

Micheal O. Adeniyi This is me

Angela U. Chukwu This is me

Publication Date

December 31, 2018

Submission Date

July 24, 2018

Acceptance Date

December 25, 2018

Published in Issue

Year 2018 Volume: 3 Number: 3

IZ

https://izlik.org/JA36JF39ZB

Cite

RIS / Bibtex
APA
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, 3(3), 37-43. https://izlik.org/JA36JF39ZB
AMA
1.Akinyemi JA, Adeniyi MO, Chukwu AU. Stability analysis of infectious diseases model in a dynamic population. CMMA. 2018;3(3):37-43. https://izlik.org/JA36JF39ZB
Chicago
Akinyemi, Joseph A., Micheal O. Adeniyi, and Angela U. Chukwu. 2018. “Stability Analysis of Infectious Diseases Model in a Dynamic Population”. Communication in Mathematical Modeling and Applications 3 (3): 37-43. https://izlik.org/JA36JF39ZB.
EndNote
Akinyemi JA, Adeniyi MO, Chukwu AU (December 1, 2018) Stability analysis of infectious diseases model in a dynamic population. Communication in Mathematical Modeling and Applications 3 3 37–43.
IEEE
[1]J. A. Akinyemi, M. O. Adeniyi, and A. U. Chukwu, “Stability analysis of infectious diseases model in a dynamic population”, CMMA, vol. 3, no. 3, pp. 37–43, Dec. 2018, [Online]. Available: https://izlik.org/JA36JF39ZB
ISNAD
Akinyemi, Joseph A. - Adeniyi, Micheal O. - Chukwu, Angela U. “Stability Analysis of Infectious Diseases Model in a Dynamic Population”. Communication in Mathematical Modeling and Applications 3/3 (December 1, 2018): 37-43. https://izlik.org/JA36JF39ZB.
JAMA
1.Akinyemi JA, Adeniyi MO, Chukwu AU. Stability analysis of infectious diseases model in a dynamic population. CMMA. 2018;3:37–43.
MLA
Akinyemi, Joseph A., et al. “Stability Analysis of Infectious Diseases Model in a Dynamic Population”. Communication in Mathematical Modeling and Applications, vol. 3, no. 3, Dec. 2018, pp. 37-43, https://izlik.org/JA36JF39ZB.
Vancouver
1.Joseph A. Akinyemi, Micheal O. Adeniyi, Angela U. Chukwu. Stability analysis of infectious diseases model in a dynamic population. CMMA [Internet]. 2018 Dec. 1;3(3):37-43. Available from: https://izlik.org/JA36JF39ZB