纺织高校基础科学学报
紡織高校基礎科學學報
방직고교기출과학학보
BASIC SCIENCES JOURNAL OF TEXTILE UNIVERSITIES
2014年
4期
431-438
,共8页
脉冲扩散系统%周期解%最优收获策略%最大经济净收益
脈遲擴散繫統%週期解%最優收穫策略%最大經濟淨收益
맥충확산계통%주기해%최우수획책략%최대경제정수익
impulsive diffusion system%periodical solution%optimal control strategy%the maximum eco-nomic revenue
研究了一类在周期环境中具有脉冲扩散和收获的近远海渔业模型的动力学行为和优化控制问题。利用脉冲微分系统的基本理论和一些分析技巧,研究获得了系统正周期解存在和稳定的条件。进一步,在系统保持周期变化的条件下,考虑收获成本因素,以最大经济净收益为目标,研究收获努力量对收益的影响,获得了最优控制策略及最优经济净收益的具体表达式。
研究瞭一類在週期環境中具有脈遲擴散和收穫的近遠海漁業模型的動力學行為和優化控製問題。利用脈遲微分繫統的基本理論和一些分析技巧,研究穫得瞭繫統正週期解存在和穩定的條件。進一步,在繫統保持週期變化的條件下,攷慮收穫成本因素,以最大經濟淨收益為目標,研究收穫努力量對收益的影響,穫得瞭最優控製策略及最優經濟淨收益的具體錶達式。
연구료일류재주기배경중구유맥충확산화수획적근원해어업모형적동역학행위화우화공제문제。이용맥충미분계통적기본이론화일사분석기교,연구획득료계통정주기해존재화은정적조건。진일보,재계통보지주기변화적조건하,고필수획성본인소,이최대경제정수익위목표,연구수획노역량대수익적영향,획득료최우공제책략급최우경제정수익적구체표체식。
The dynamic behavior and optimal control problem for a class of inshore‐offshore fishery model with impulsive diffusion and periodic coefficients are investigated .By applying the basic theory and some analytic techniques ,the condition w hich ensures the existence and stability of positive periodic solution is obtained .T he species is harvested for economic profit ,the purpose is to control the harvesting effort so as to maximize the profit which is the difference between economic revenue and cost .The exact ex‐pression of the optimal control policy is obtained .