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1、EcologicalComplexity8(2011)68–80ContentslistsavailableatScienceDirectEcologicalComplexityjournalhomepage:www.elsevier.com/locate/ecocomApredator–preymathematicalmodelwithboththepopulationsaffectedbydiseasesaba,*KrishnapadaDas,KusumikaKundu,J.ChattopadhyayaAgricult
2、uralandEcologicalResearchUnit,IndianStatisticalInstitute,203,B.T.Road,Kolkata700108,WestBengal,IndiabAcharyaPrafullaChandraCollege,NewBarrackpore,Kolkata700131,IndiaARTICLEINFOABSTRACTArticlehistory:Aprey–predatormodelwithdiseaseinboththepopulationisproposedandana
3、lyzed.LocalstabilityReceived7September2009analysisofbiologicallyfeasibleequilibriumpointsisworkedoutwithhelpofecologicalaswellasReceivedinrevisedform26March2010diseasebasicreproductionnumbers.WealsoexplainthecommunitycompositionofecosystembybasicAccepted12April201
4、0reproductionnumbers.ItisshownthatthesystemisgloballystablearoundtheinteriorequilibriumAvailableonline21May2010pointundercertainparametricconditions.Moreover,thesystemispersistentundersomefeasibleparametricconditions.Ouranalysisrevealsthatforceofinfectionandpredat
5、ionratearethekeyparametersonthedynamicsofthesystem.ExtensivenumericalexperimentswithhypotheticalsetofDiseaseinpreyandpredatorpopulationparametersarecarriedouttosubstantiateouranalyticalfindings.TheoscillatorycoexistenceoftheDisease-freesystemspecieswhichisverycommo
6、ninnatureisobservedforpredatordiseasefreesystem.TheintroductionofPredationrateForceofinfectiondiseaseinthepredatorpopulationenhancestheextinctionofpredatorpopulation.Wealsoobservethatthesystemwillbediseasefreeandallpopulationwillpersistthroughproperpredationalstra
7、tegies.ß2010ElsevierB.V.Allrightsreserved.1.IntroductionandMay(1986),HadelerandFreedman(1989),Venturino(1994,2002),ChattopadhyayandArino(1999),Hanetal.(2001),XiaoandTheeffectofdiseaseinecologicalsystemisnowbecominganChen(2001),Hethcoteetal.(2004),GreenhalghandHaqu
8、e(2006),importantissueofresearchasinfectiousdiseasebecomesanHaqueandVenturino(2006,2007)andothershadstudiedtheimportantfactortoregulatehumanandanimalpop
