?url_ver=Z39.88-2004&rft_id=AM-R9607&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4791%2F&rft.title=On+the+Formulation+and+Analysis+of+General+Deterministic+Structured+Population+Models&rft.creator=Diekmann%2C+O.&rft.creator=Gyllenberg%2C+M.&rft.creator=Metz%2C+J.A.J.&rft.creator=Thieme%2C+H.R.&rft.description=We+define+a+linear+physiologically+structured+population+model+by+two+rules%2C+one+for+reproduction+and+one+for+%22movement%22+and+survival.+We+use+these+ingredients+to+give+a+constructive+definition+of+next-population-state+operators.+For+the+autonomous+case+we+define+the+basic+reproduction+ratio+R0+and+the+Malthusian+parameter+r+and+we+compute+the+resolvent+in+terms+of+the+Laplace+transform+of+the+ingredients.+A+key+feature+of+our+approach+is+that+unbounded+operators+are+avoided+throughout.+This+will+facilitate+the+treatment+of+nonlinear+models+as+a+next+step.&rft.publisher=CWI&rft.date=1996-06-30&rft.type=Other&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.rights=cc_by&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4791%2F1%2F04837D.pdf&rft.identifier=++Diekmann%2C+O.%2C+Gyllenberg%2C+M.%2C+Metz%2C+J.A.J.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F206.html%3E%2C+%26+Thieme%2C+H.R.++(1996).++On+the+Formulation+and+Analysis+of+General+Deterministic+Structured+Population+Models.++++CWI+%2C+Amsterdam%2C+Netherlands.+AM-R9607.+++++&rft.relation=https%3A%2F%2Fir.cwi.nl%2Fpub%2F4837&rft.relation=AM-R9607&rft.identifier=AM-R9607