GLOBAL ATTRACTIVITY OF POPULATIONMODELS WITH DELAYS AND DIFFUSION

(整期优先)网络出版时间:2005-03-13
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Inthispaper,theasymptoticbehaviorofthreetypesofpopulationmodelswithdelaysanddiffusionisstudied.ThefirstrepresentsonespeciesgrowthinthepatchΩandperiodicenvironmentandwithdelaysrecruitment,thesecondmodelsasinglespeciesdispersalamongthempatchesofaheterogeneousenvironment,andthethirdmodelsthespreadofbacterialinfections.Sufficientconditionsfortheglobalattractivityofperiodicsolutionareobtainedbythemethodofmonotonetheoryandstronglyconcaveoperators.Someearlierresultsareextendedtopopulationmodelswithdelaysanddiffusion.