an:01915320
Zbl 1011.92052
Zhang, Xiaoying; Shuai, Zhisheng; Wang, Ke
Optimal impulsive harvesting policy for single population
EN
Nonlinear Anal., Real World Appl. 4, No. 4, 639-651 (2003).
00092725
2003
j
92D40 91B76 49N90 34C25 34C60
logistic equation; impulsive differential equation; impulsive periodic solution; global attractivity; optimal impulsive harvesting policy
Summary: We establish the exploitation of an impulsive harvesting single autonomous population model by the logistic equation. By some special methods, we analyse the impulsive harvesting population equation and obtain existence, an explicit expression and global attractiveness of impulsive periodic solutions for constant yield harvest and proportional harvest. Then, we choose the maximum sustainable yield as the management objective, and investigate the optimal impulsive harvesting policies, respectively. The optimal harvest effort that maximizes the sustainable yield per unit time, and the corresponding optimal population levels are determined. At last, we point out that the continuous harvesting policy is superior to the impulsive harvesting policy; however, the latter is more beneficial in realistic operations.