Environmental Brownian noise suppresses explosions in population dynamics

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STOCHASTIC DELAY POPULATION DYNAMICS (2004, background): “[13] X. Mao, G. Marion, E. Renshaw, Environmental noise suppresses explosion in population dynamics, Stochastic Processes and Their Applications, 97 (2002), 95-110.”
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].”
Coexistence and exclusion of stochastic competitive Lotka–Volterra models (2016, background): “General Lotka-Volterra models perturbed by white noise have been studied in [6, 11, 14, 16, 17], while the authors in [21, 26, 31, 32] go further by considering the effect of both white and colored noises to the Lotka-Volterra models.”
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].”
Stochastic persistence and stationary distribution in a Holling–Tanner type prey–predator model (2012, background): “it is increasing and right continuous while F0 contains all P -null sets [75]).”