an:02033641
Zbl 1031.92028
Bai, Ling; Wang, Ke
Optimal impulsive harvest policy for time-dependent logistic equation with periodic coefficients
EN
Electron. J. Differ. Equ. 2003, Paper No. 121, 9 p. (2003).
00094199
2003
j
92D40 34A37 34C25 49N30 49J15
impulsive harvest equation; global attractor; optimal impulsive harvest policy
Summary: We study a time-dependent logistic equation with periodic coefficients. First, we show that the impulsive harvest population equation has impulsive periodic solutions for constant effort harvest and for proportional harvest. Second, we investigate the optimal harvest effort that maximizes the sustainable yield per unit of time. Then we determine the corresponding optimal population levels. Our results generalize results presented by \textit{X. Zhang} et al. [Nonlinear Anal., Real World Appl. 4, 639-651 (2003; Zbl 1011.92052)].
Zbl 1011.92052