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時間尺度上具有時變時滯和額外食物供給的比例依賴食餌-捕食者模型的分析

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中圖分類號:0175.1 文獻標志碼:A

Abstract:Inthispaper,weconsideraratio-dependentpredator-preymodelwithaddionalfoodsupplyontimescales.Consderingthe efecttievaryingdelays,thepermanenethepreypredatorpopulationsisobainedbyestablishingsomedynamicinequalities ontimecalesapplyingthecomparisontheorem.Furter,byemployingcoincidencedegreeteory,suficientconditionsfortheexistenceaperiodicsolutioninthemodelarederived.Finaly,wegiveanumericalexample toverifytheresultsouranalysis. Key words:predator-prey model;time scales;time delays;permanence;periodic solution

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