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

Section

Research Articles