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dc.contributor.advisorCurry, Guy L.
dc.creatorRao, Chennupati Raghavendra
dc.date.accessioned2020-08-21T21:47:59Z
dc.date.available2020-08-21T21:47:59Z
dc.date.issued1976
dc.identifier.urihttps://hdl.handle.net/1969.1/DISSERTATIONS-474979
dc.descriptionVita.en
dc.description.abstractIn the study of population dynamics, the predator-prey system is recognized as a vitally important aspect in natural population control. Some aspects concerning the predator-prey interactions are studied in this dissertation. Since the emphasis is more on the stochastic nature of the models, the distinction between deterministic and stochastic models is exemplified by means of an ecological example. The relative advantages of stochastic models over the deterministic models are also demonstrated. Assuming the attack cycle of the predator consists of four different activities (namely, search, pursuit, handle and eat, and digestion), a semi-Markovian model is developed to find the number of prey devoured by a predator during the activity of a day. To test the adequacy of the semi-Markovian model, a lognormal distribution is assumed for all the sojourn times and the model is tested using the modified x² goodness-of-fit tests. Optimization equations are developed for the predator to maximize the caloric content in its diet and the role of time and energy in food preference is explained. Some of the models developed in this dissertation are compared with the models found in the literature.en
dc.format.extentviii, 117 leavesen
dc.format.mediumelectronicen
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.rightsThis thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use.en
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectAnimal populationsen
dc.subjectMathematical modelsen
dc.subjectPredation (Biology)en
dc.subjectIndustrial Engineeringen
dc.subject.classification1976 Dissertation R214
dc.subject.lcshPredation (Biology)en
dc.subject.lcshAnimal populationsen
dc.subject.lcshMathematical modelsen
dc.titleMathematical models for predator-prey interactionsen
dc.typeThesisen
thesis.degree.grantorTexas A&M Universityen
thesis.degree.nameDoctor of Philosophyen
dc.contributor.committeeMemberDeMichele, D. W.
dc.contributor.committeeMemberRinger, Larry J.
dc.contributor.committeeMemberRose, T. L.
dc.contributor.committeeMemberSharpe, P. J. H.
dc.type.genredissertationsen
dc.type.materialtexten
dc.format.digitalOriginreformatted digitalen
dc.publisher.digitalTexas A&M University. Libraries
dc.identifier.oclc3015164


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