On a generalized population dynamics equation with environmental noise

Noise and Stability in Reaction-diffusion Equations

“…In [15], we considered the competition between the nonlinear term and noise term. The result of [21] generalized the results of [15]. Now we first recall the main results of [21].…”

“…Moreover, [21,Theorem 1.2] shows that the result in proposition is sharp. More precisely, if there exists γ ∈ (β, 1) such that sup…”

Noise and stability in reaction-diffusion equations

“…In [17], we considered the competition between the nonlinear term and noise term. The result of [23] generalized the results of [17]. Now we first recall the main results of [23].…”

“…The result of [23] generalized the results of [17]. Now we first recall the main results of [23]. Assume in addition that r m+1 2 φ(r) ∈ C 1 (R + ).…”

“…Moreover, [23,Theorem 1.2] shows that the result in proposition is sharp. More precisely, if there exists γ ∈ (β, 1) such that…”