A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique
详细信息 查看全文
- 作者：M.-C. Casabá ; n macabar@imm.upv.es" class="auth_mail" title="E-mail the corresponding author ; J.-C. Corté ; s ; jccortes@imm.upv.es" class="auth_mail" title="E-mail the corresponding author ; jccortes@mat.upv.es" class="auth_mail" title="E-mail the corresponding author ; A. Navarro-Quiles annaqui@doctor.upv.es" class="auth_mail" title="E-mail the corresponding author ; J.-V. Romero jvromero@imm.upv.es" class="auth_mail" title="E-mail the corresponding author ; M.-D. Roselló ; drosello@imm.upv.es" class="auth_mail" title="E-mail the corresponding author ; R.-J. Villanueva rjvillan@imm.upv.es" class="auth_mail" title="E-mail the corresponding author
- 关键词：Random SIS-type epidemiological models ; First-order nonlinear random differential equations ; Random variable transformation technique ; First probability density function
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2016
- 出版时间：March 2016
- 年：2016
- 卷：32
- 期：Complete
- 页码：199-210
- 全文大小：776 K
文摘
- •
Random nonlinear SIS-epidemiological models under general hypotheses are proposed.
- •
Random Variable Transformation method provides probabilistic solution of SIS-model.
- •
First probability density of the solution of random SIS-model is determined.
- •
Time until a certain proportion of susceptibles remains in the population is given.
- •
A probabilistic meaning of the reproductive number R0 is provided.