The maximum sustainable yield of Allee dynamic system

In this study an attempt is made to investigate comprehensively the maximum sustainable yield (MSY) of Allee population dynamic system. The results show that: (1) because the net production rate of Allee system is a function of the shape parameter d, all Allee systems which possess different B (B=A/K, here K is the carrying capacity, and A the parameter of Allee effect) are adapted themselves to the environments by controlling their production rate. Allee effect does not change the interaction between the system and environment, but it will reduce the MSY; (2) the MSY of Allee system is approximately one-nineteenth of the height of the allometry curve of body size for all A/K≤0.01. However when the net production rate R takes the values from 3 to 15, the MSY of Allee system is also approximately 1/19 of the height of the allometry curve of body size for all A/K≤0.001.