On a Two Species Stochastic Lotka-Volterra Competition System

Global dynamics and optimal harvesting in a stochastic two-predators one-prey system with distributed delays and Lévy noise

“…As is well-known, two predators compete with each other for one-prey are more beneficial than predator-prey models (see [1,14,22,32,34]) or competitive models (see [9,10,13,27]). Besides, considering the influence of distributed delays, white noise and Lévy noise, in this paper we propose a stochastic two-predators one-prey model with Lévy noise and distributed delays.…”

“…As is well-known, the population dynamics in the natural world is unavoidable affected by environmental noises. Usually, in the process of mathematical modelling, we assume that the growth rate of species is subject to environmental random noise (see [7,10,11,13,19,23,24,27]). That is to say, we assume that r i → r i + σ i dB i (t) (i = 1, 2, 3) in the following system, where B i (t) (i = 1, 2, 3) are standard independent Brownian motions defined on the complete probability space ( , {F t } t≥0 , P) with a filtration {F t } t≥0 satisfying the usual conditions, and σ 2 i (i = 1, 2, 3) is the intensity of B i (t).…”

Global dynamics of a stochastic ratio-dependent predator–prey system

“…[5,16,17]). In recent years stochastic population dynamical systems are extensively studied [3,5,16,17].…”

“…[5,16,17]). In recent years stochastic population dynamical systems are extensively studied [3,5,16,17]. One of the most important topics which the researchers pay attention to is extend deterministic systems to stochastic systems and investigate their dynamical behaviors, because population dynamics is inevitably affected by the environmental white noise which is an important component in an ecosystem [17].…”

Asymptotic Behavior of a Stochastic Two‐Species Competition Model under the Effect of Disease

“…However, the population dynamics in the real world are often disturbed by some uncertain factors while the stochastic population model is more in line with actual situation. During the past decades, a great deal of attention has been paid to the study of stochastic biological model (see [9][10][11][12][13][14][15][16][17][18][19][20]). In [12], the authors discussed a two-species stochastic nonautonomous Lotka-Volterra competition model.…”