id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-347906-3ehsg8oi	Zhang, Zizhen	Dynamics of COVID-19 mathematical model with stochastic perturbation	2020-08-28		.txt	text/plain	1774	176	58	title: Dynamics of COVID-19 mathematical model with stochastic perturbation Thirdly, we examine the threshold of the proposed stochastic COVID-19 model, when noise is small or large. The same set of parameter values and initial conditions for deterministic models will lead to an ensemble of different outputs. They obtained the condition of the disease extinction and persistence according to noise and threshold of the deterministic system. Similarly, several authors discussed the same conditions for stochastic models; see [32] [33] [34] [35] [36] [37] [38] [39] . To study the effects of the environment on spreading of COVID-19 and make the research more realistic, first we formulate a stochastic mathematical COVID-19 model. In this section, a COVID-19 mathematical model with random perturbation is formulated as follows: The extinction and persistence of the stochastic SIS epidemic model with vaccination A stochastic differential equation SIS epidemic model	./cache/cord-347906-3ehsg8oi.txt	./txt/cord-347906-3ehsg8oi.txt