Analysis of An Age Dependent Epidemic Model

Authors

  • Rajiv Kumar Department of Mathematics, Birla Institute of Technology and Science, Pilani, Rajasthan 333031, India
  • Padma Murali Department of Mathematics, Birla Institute of Technology and Science, Pilani, Rajasthan 333031, India

DOI:

https://doi.org/10.26713/jims.v4i2.76

Keywords:

Age dependent population, Epidemic model, SI model, Semigroup

Abstract

In this paper, we consider an age dependent epidemic model of type $S \rightarrow I \rightarrow \cdot$ and study the solutions of the model. In view of the above, we study a nonlinear model which is a generalisation of the age dependent epidemic model and obtain the existence, uniqueness, the semigroup property and the continuous dependence of the solutions on the initial data for the general model. Then, we show that the age dependent SI model is a particular case of the general model and hence conclude the wellposedness of the age dependent epidemic model.

Downloads

Download data is not yet available.

Downloads

CITATION

How to Cite

Kumar, R., & Murali, P. (2012). Analysis of An Age Dependent Epidemic Model. Journal of Informatics and Mathematical Sciences, 4(2), 137–156. https://doi.org/10.26713/jims.v4i2.76

Issue

Vol. 4 No. 2 (2012)

Section

Research Articles

License

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.