1. IMPULSIVE SELECTIVE HARVESTING IN A LOGISTIC FISHERY MODEL WITH TIME DELAY.
- Author
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PEI, YONGZHEN, CHEN, LANSUN, LI, CHANGGUO, and WANG, CHUNHUA
- Subjects
TIME delay systems ,FISH populations ,FISHING catch effort ,EFFORT in fisheries ,FISHERY management ,FISHERY statistics ,ASYMPTOTIC expansions ,SYSTEM analysis ,CONTROL theory (Engineering) - Abstract
In this work, we consider a logistic fishery model and discuss the selective impulsive harvesting of fish above a certain age or size by incorporating a time delay in the impulsive harvesting term. It is proved that there exists an asymptotically stable positive periodic solution $x^*_{l1}(t)$ when the catchability coefficient h is less than some critical value $h^*_{l}$. It is concluded that $h^*_{l}$ and $x^*_{l1}$ are increasing with respect to l. Simulations shows that the delayed harvesting is advantageous to the sustainability of the population. [ABSTRACT FROM AUTHOR]
- Published
- 2006
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