On Gaussian Approximation for the Stationary SIS Model with Random Contact Rate

APLIMAT 2017 : 16th Conference on Applied Mathematics : Proceedings 2017
Jevgeņijs Carkovs, Jolanta Goldšteine

The paper deals with a mathematical model of the classical dynamic epidemic susceptible-infected-susceptible (SIS) model for the population community given by a scalar differential equation with dependent on an impulse type compound Poisson process of large intensity. Applying the stochastic asymptotic approximation procedure we deduced the approximative stochastic differential equations for the steady stay stationary process and discussed the probabilistic characteristics of the infected population dynamics.

Atslēgas vārdi
Epidemic model, diffusion approximation

Carkovs, J., Goldšteine, J. On Gaussian Approximation for the Stationary SIS Model with Random Contact Rate. No: APLIMAT 2017 : 16th Conference on Applied Mathematics : Proceedings, Slovākija, Bratislava, 30. Jan-3. Feb., 2017. Bratislava: Slovak University of Technology, 2017, 273.-284.lpp. ISBN 978-80-227-4650-2.

Publikācijas valoda
English (en)