一类具有弱Allee效应的捕食食饵模型正解的存在性
ExistenceofPositiveSolutionforaPredator-PreyModelwith WeakAlleeEffec
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摘要: 讨论了一类具有弱Allee效应的捕食食饵模型.首先分析了正常数平衡解的渐近稳定性,给出了正解的估计;其次,讨论了非常数正解的不存在性;最后,利用度理论得到了非常数正解存在的条件.Abstract: Apredator-preymodelwithweakAlleeeffectisdiscussed.First,theasymptoticalstabilityoftheconstantpositivesteady-solutionandthepriorestimateofthepositivesteady-solutionaregiven.Next,thenon-existenceofthenon-constantpositivesolutionisanalyzed.Finally,theconditionofexistenceofthenon-constantpositivesolutionisgivenbythedegreetheory.
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