1. Absorption in stochastic epidemics
- Creator:
- Štěpán, Josef and Staněk, Jakub
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- SIR epidemic models, stochastic epidemic models, stochastic differential equation, strong solution, weak solution, absorption, and Kermack-McKendrick model
- Language:
- English
- Description:
- A two dimensional stochastic differential equation is suggested as a stochastic model for the Kermack-McKendrick epidemics. Its strong (weak) existence and uniqueness and absorption properties are investigated. The examples presented in Section 5 are meant to illustrate possible different asymptotics of a solution to the equation.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public