?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4145%2F&rft.title=A+Universal+Bifurcation+Diagram+for+Seasonally+Perturbed+Predator-Prey+Models&rft.creator=Gragnani%2C+A.&rft.description=The+bifurcations+of+a+periodically+forced+predator-prey+model+(the+chemostat+model)%2C+with+a+prey+feeding+on+a+limiting+nutrient%2C+are+numerically+detected+with+a+continuation+technique.+Eight+bifurcation+diagrams+are+produced+(one+for+each+parameter+in+the+model)+and+shown+to+be+topologically+equivalent.+These+diagrams+are+also+equivalent+to+those+of+the+most+commonly+used+predator-prey+model+(the+Rosenzweig-McArthur+model).+Thus%2C+all+basic+modes+of+behavior+of+the+two+main+predator-prey+models+can+be+explained+by+means+of+a+single+bifurcation+diagram.&rft.publisher=WP-94-066&rft.date=1994-08&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4145%2F1%2FWP-94-066.pdf&rft.identifier=++Gragnani%2C+A.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1294.html%3E++(1994).++A+Universal+Bifurcation+Diagram+for+Seasonally+Perturbed+Predator-Prey+Models.+++IIASA+Working+Paper.+IIASA%2C+Laxenburg%2C+Austria%3A+WP-94-066+++++