A note on nonautonomous logistic equation with random perturbation
By Daqing Jiang, N. Shi. 2005
190 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/ee45e5701ac3cbad2a5c3682dc50b9527cb32122
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In Applied Mathematics
In Modeling and Simulation
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Stochastic Population Systems (2009, background): “, [2, 3, 6–8, 20, 22, 24] are concerned with autonomous case although [13] considers the scalar non-autonomous case.”
- 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]).”
- On competitive Lotka-Volterra model in random environments (2009, background): “Then it follows from [20] that both (4.”
- Population dynamical behavior of a two-predator one-prey stochastic model with time delay (2017, methodology): “2 in Jiang and Shi [18], the explicit solution of system (8) is y1(t) = exp{b1t+σ1W1(t)} y−1 1 (0)+a11 ∫ t 0 exp{b1s+σ1W1(s)}ds , y2(t) = exp{b2t− ∫ t 0 a21y1(s−τ21)ds+σ2W2(t)} y−1 2 (0)+a22 ∫ t 0 exp{b2s− ∫ s 0 a21y1(ς−τ21)dς+σ2W2(s)}ds , y3(t) = exp{b3t− ∫ t 0 a31y1(s−τ31)ds+σ3W3(t)} ”
- Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation (2009, background): “This is a better result than the corresponding one in [10] which requires that a(t) > 0 and b(t) > 0.”
- Competitive Lotka–Volterra population dynamics with jumps (2011, background): “, Hu and Wang [5], Jiang and Shi [6], Liu and Wang [11], Zhu and Yin [25, 26], and the references therein.”