时间尺度上具有时变时滞和额外食物供给的比例依赖食饵-捕食者模型的分析

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中图分类号：0175.1 文献标志码：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

生物种群作为一种可再生资源，正日益受到人们的关注。（剩余10395字）