A predator-prey model with different response functions to juvenile and adult prey in deterministic and stochastic environments

作者：

Highlights：

• A predator-prey model with stage structure for prey in two cases is proposed.

• The deterministic case exhibits bistability and complex bifurcations.

• The stochastic case possesses a unique ergodic stationary distribution.

• Noise-induced state switching between two stochastic attractors is observed.

• Results partially show species may switch among different patterns of survival.

摘要

•A predator-prey model with stage structure for prey in two cases is proposed.•The deterministic case exhibits bistability and complex bifurcations.•The stochastic case possesses a unique ergodic stationary distribution.•Noise-induced state switching between two stochastic attractors is observed.•Results partially show species may switch among different patterns of survival.

论文关键词：Predator-prey model with stage structure for prey,Holling-I and Crowley-Martin functional responses,Equilibrium point bifurcation,Bistability phenomenon,Stationary distribution and ergodicity,Noise-induced stochastic state switching

论文评审过程：Received 12 April 2021, Revised 9 July 2021, Accepted 14 August 2021, Available online 31 August 2021, Version of Record 31 August 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126598