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About Qualitative Behaviour of A Model of An SIRS Epidemic: Stability and Permanence
This document summarizes a research paper that analyzes a mathematical model of an SIRS epidemic. The model tracks the population levels of susceptible (S), infected (I), and removed (R) individuals over time. The paper establishes the positivity and boundedness of the model's solutions. It provides conditions for the model to be permanent, meaning the infected population does not approach extinction. The stability of the disease-free and endemic equilibria are analyzed using a Lyapunov functional approach. Both the deterministic and stochastic versions of the model are considered. Numerical simulations are presented to complement the analytical results.
Detailed Information
| Author: | ['ratchagar a'] |
|---|---|
| Publication Year: | 2012 |
| Pages: | 19 |
| Language: | English |
| Format: | |
| Price: | FREE |
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