STOCHASTIC DELAY POPULATION DYNAMICS

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Stochastic Lotka–Volterra systems with Lévy noise (2014, background): “[2,6–8,10,12,14–17,19–21]).”
Khasminskii-Type Theorems for Stochastic Differential Delay Equations (2005, background): “, [2, 3, 5, 14]), we often require the solutions to remain in the positive cone R+ = x ∈ R 0 < xi < , 1 ≤ i ≤ n .”
The truncated Euler-Maruyama method for stochastic differential equations (2015, background): “, [3]) that for any initial value x(0) ∈ R+, the solution x(t) of the SDE (5.”
Stochastic Population Systems (2009, methodology): “Mao, X., Yuan, C., and Zou, J. 2004.”
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation (2009, background): “As a matter of fact, stochastic population systems have recently been studied by many authors, for example,[4]-[6], [12]-[14], [20, 23, 25, 26, 30].”
Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching (2011, background): “Recently many authors have discussed population systems subject to white noise (see [2–12]).”
Strong convergence rates for backward Euler–Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients (2013, background): “We focus here on the stochastic Lotka–Volterra model, which is well established in the academic literature [5,25,26,30].”