Asymptotic properties of a stochastic SIQR epidemic model with Lévy Jumps and Beddington-DeAngelis incidence rate

The Impact of Random Noise on the Dynamics of COVID-19 Epidemic Model

“…On the other hand, natural systems can generally be affected by environmental noise such as white noise [26][27][28] and Lévy noise [29][30][31]. Then, random fluctuations affect the distribution of infectious diseases since this type of epidemic spreads randomly.…”

“…However, natural and massive phenomena such as Covid-19, earthquakes, tsunamis, and volcanoes cannot be modeled by the stochastic differential equation because these phenomena cause to break the continuity of the solution and provoke jumps in the system. Consequently, including a jump process (Lévy process [30,37,38]) in a stochastic system may well model these phenomena. This paper is aimed at studying the effect of environmental fluctuations on the model (1).…”

A stochastic SIQR epidemic model with Lévy jumps and three-time delays

“…Recently, Koufi et al. [31] proposed a stochastic SIQR epidemic model and discussed the effect of Lévy jumps as well as utilized the incidence rate of Beddington-DeAngelis type. The model of Koufi et al.…”

“…The model of Koufi et al. [31] is indeed a great contribution to stochastic epidemic model from various perspectives. However, the model ignored the effect of time delays which arise naturally.…”

Stochastic Hybrid Hepatitis B Epidemic Model with Markovian Switching

“…Likewise, the research in areas of mathematic epidemiology has perceived an immense development and proved their efficiency in solving some real medical problems. Generally, there are two approaches to formulating mathematical epidemic models: (i) deterministic based on ordinary differential equations, fractional, or partial [5][6][7]; (ii) stochastic founded on stochastic differential equations and their generalization [8][9][10][11]. e deterministic epidemic model has some limitations in predicting the future dynamics perfectly, and the stochastic one can show it [12].…”