1. Kermack-McKendrick epidemic model revisited
- Creator:
- Štěpán, Josef and Hlubinka, Daniel
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- SIR epidemic models, stochastic differential equations, weak solution, and simulation
- Language:
- English
- Description:
- This paper proposes a stochastic diffusion model for the spread of a susceptible-infective- removed Kermack–McKendric epidemic (M1) in a population which size is a martingale Nt that solves the Engelbert–Schmidt stochastic differential equation (2). The model is given by the stochastic differential equation (M2) or equivalently by the ordinary differential equation (M3) whose coeffients depend on the size Nt. Theorems on a unique strong and weak existence of the solution to (M2) are proved and computer simulations performed.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public