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- W2890569713 abstract "This paper investigates the complex dynamics of a Harrison-type predator-prey model that incorporating: (1) A constant time delay in the functional response term of the predator growth equation; and (2) environmental noise in both prey and predator equations. We provide the rigorous results of our model including the dynamical behaviors of a positive solution and Hopf bifurcation. We also perform numerical simulations on the effects of delay or/and noise when the corresponding ODE model has an interior solution. Our theoretical and numerical results show that delay can either remain stability or destabilize the model; large noise could destabilize the model; and the combination of delay and noise could intensify the periodic instability of the model. Our results may provide us useful biological insights into population managements for prey-predator interaction models." @default.
- W2890569713 created "2018-09-27" @default.
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- W2890569713 date "2018-01-01" @default.
- W2890569713 modified "2023-10-15" @default.
- W2890569713 title "Dynamics of a stochastic delayed Harrison-type predation model: Effects of delay and stochastic components" @default.
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- W2890569713 doi "https://doi.org/10.3934/mbe.2018064" @default.
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