鞍山师范学院学报
鞍山師範學院學報
안산사범학원학보
JOURNAL OF ANSHAN TEACHERS COLLEGE
2012年
4期
7-11,20
,共6页
梅光%赵聪%赵立纯%刘敬娜
梅光%趙聰%趙立純%劉敬娜
매광%조총%조립순%류경나
赤潮%广义Logistic模型%稳定性%变结构控制
赤潮%廣義Logistic模型%穩定性%變結構控製
적조%엄의Logistic모형%은정성%변결구공제
Red Tide%General Logistic model%Stability%Critical value%Approximate derivative controller
基于广义Logistic种群生长模型,建立一个浮游动植物相互作用模型,利用微分方程稳定性理论分析其平衡点的性态,得到模型由稳定到周期解的阈值.设计变结构控制器,抑制赤潮周期性爆发.最后,通过仿真模拟,验证结论的正确性.
基于廣義Logistic種群生長模型,建立一箇浮遊動植物相互作用模型,利用微分方程穩定性理論分析其平衡點的性態,得到模型由穩定到週期解的閾值.設計變結構控製器,抑製赤潮週期性爆髮.最後,通過倣真模擬,驗證結論的正確性.
기우엄의Logistic충군생장모형,건립일개부유동식물상호작용모형,이용미분방정은정성이론분석기평형점적성태,득도모형유은정도주기해적역치.설계변결구공제기,억제적조주기성폭발.최후,통과방진모의,험증결론적정학성.
Based on population model with general Logistic growth,a interaction model between phytoplankton and zooplankton is proposed,the stability of the model id analyzed using stability theory of ordinary differential equations,and the critical value which makes the model stable around periodical solution is given.Variable structure control is designed to prevent the outbreak of Red Tide periodically.Finally,simulations are carried out to prove the results.