full
search.png

Search

close.png

Cancel

Volume 1, Issue 3
Dynamics of a Diffusive SIR Epidemic Model with Time Delay

Bounsanong Sounvoravong & Shangjiang Guo

DOI: 10.12150/jnma.2019.319

J. Nonl. Mod. Anal., 1 (2019), pp. 319-334.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

Preview Full PDF 1233 14409

Cited by

google scholar semantic scholar
Export citation
  • Abstract

This paper is devoted to a reaction-diffusion system for a SIR epidemic model with time delay and incidence rate. Firstly, the nonnegativity and boundedness of solutions determined by nonnegative initial values are obtained. Secondly, the existence and local stability of the disease-free equilibrium as well as the endemic equilibrium are investigated by analyzing the characteristic equations. Finally, the global asymptotical stability is obtained via Lyapunov functionals.

  • Keywords

Diffusion, SIR epidemic model, time delay, basic reproduction number, stability, Lyapunov functional.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JNMA-1-319, author = {Sounvoravong , Bounsanong and Guo , Shangjiang}, title = {Dynamics of a Diffusive SIR Epidemic Model with Time Delay}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {3}, pages = {319--334}, abstract = {

This paper is devoted to a reaction-diffusion system for a SIR epidemic model with time delay and incidence rate. Firstly, the nonnegativity and boundedness of solutions determined by nonnegative initial values are obtained. Secondly, the existence and local stability of the disease-free equilibrium as well as the endemic equilibrium are investigated by analyzing the characteristic equations. Finally, the global asymptotical stability is obtained via Lyapunov functionals.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.319}, url = {http://global-sci.org/intro/article_detail/jnma/18846.html} }
TY - JOUR T1 - Dynamics of a Diffusive SIR Epidemic Model with Time Delay AU - Sounvoravong , Bounsanong AU - Guo , Shangjiang JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 319 EP - 334 PY - 2021 DA - 2021/04 SN - 1 DO - http://doi.org/10.12150/jnma.2019.319 UR - https://global-sci.org/intro/article_detail/jnma/18846.html KW - Diffusion, SIR epidemic model, time delay, basic reproduction number, stability, Lyapunov functional. AB -

This paper is devoted to a reaction-diffusion system for a SIR epidemic model with time delay and incidence rate. Firstly, the nonnegativity and boundedness of solutions determined by nonnegative initial values are obtained. Secondly, the existence and local stability of the disease-free equilibrium as well as the endemic equilibrium are investigated by analyzing the characteristic equations. Finally, the global asymptotical stability is obtained via Lyapunov functionals.

Bounsanong Sounvoravong & Shangjiang Guo. (1970). Dynamics of a Diffusive SIR Epidemic Model with Time Delay. Journal of Nonlinear Modeling and Analysis. 1 (3). 319-334. doi:10.12150/jnma.2019.319
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard