Vlasic Andrew, Day Troy
Department of Mathematics and Statistics, Queen's University, 48 University Ave, Jeffery Hall Kingston, ON, Canada, K7L 3N6.
Math Biosci Eng. 2020 Aug 14;17(5):5534-5544. doi: 10.3934/mbe.2020297.
We propose a SIR system that includes a Poisson measure term to model the quarantine of infected individuals. An inequality concerning the term representing the transmission rate is given to establish the stochastic stability of the disease free equilibrium. It is further shown that if R > 1 then the long-run behavior the system will reside within a neighborhood of the equilibrium in the underlying deterministic version of this system.
我们提出了一个包含泊松测度项的SIR系统，用于对感染者的隔离进行建模。给出了一个关于代表传播率项的不等式，以建立无病平衡点的随机稳定性。进一步表明，如果R>1，那么该系统的长期行为将位于此系统基础确定性版本中平衡点的一个邻域内。
