Stochastic mutualism model under regime switching with Lévy jumps

Stochastic differential equation model of Covid-19: Case study of Pakistan

“…Whereas, in a biological environment, it is more suitable and reasonable to consider how environmental noise affects the spread of the Covid-19 epidemic. Numerous investigations have shown that environmental fluctuations affect the propagation of an epidemic on the population (see, [7] , [8] , [11] , [12] , [13] , [15] , [16] ). Therefore, there are many approaches to consider the random fluctuations in the deterministic systems one of them suppose that the epidemic is subject to some small and standard random fluctuations that can be expressed by white noise.…”

“…In [12] , the authors have proposed an influential work on the Lotka–Volterra population-driven with Lévy noise. Gao and Wang [13] have studied a stochastic mutualism model integrating the Lévy and Markov processes.…”

Analysis of a Stochastic Ratio-Dependent Predator-Prey System with Markovian Switching and Lévy Jumps

“…In the study of population dynamics, stochastic permanence is one of the most important properties. We first introduce the definition of stochastic permanence [6], which is widely used in the field of population dynamics (see e.g., [22] [28]).…”

Almost sure exponential stabilization and suppression by periodically intermittent stochastic perturbation with jumps

“…Applebaum [2] further developed stochastic resonance for neuron models to general Lévy noise. Very recently, Gao and Wang [10] were concerned with a stochastic mutualism model under regime switching with Lévy jumps. From the viewpoint of stability, Zhu [32,33,34] revealed asymptotic stability in the pth moment and Li et al [15] studied almost sure stability linear SDEs with jumps.…”