Dynamics of predator-prey model under correlated noise
Purposes—To study the steady-state and transient properties of predator-prey model driven by correlated white noise,and to analyze the effects of the survival and reproduction of predator and prey populations on the dynamic balance of ecosystems.Methods—The Euler-Maruyama Algo-rithm is used to simulate and analyze the steady-state probability distribution,mean first passage time,relaxation time of the predator-prey model based on the rate-dependent Holling Ⅲ functional re-sponse function.Results and Conclusions—The results show that when the system is positively corre-lated,the stability of the system can be enhanced by appropriate noise intensity and the increase in noise correlation intensity.When the two noises are negatively correlated,the mean first passage time of the system shows that the stability of the system is weakened with the increase in noise intensity and correlation intensity.There are also non-monotonic variations in the mean first pass time and re-laxation time,indicating the existence of optimal parameters for the state transitions of the system.Research has found that the correlation of population fluctuations shall be a potential way for species to maintain the competition-collaboration mechanism.
predator-preysteady state probability distributionmean first passage timerelaxa-tion time
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