Per citar aquest document: http://ddd.uab.cat/record/150449
Hopf bifurcation in predator-prey models with an age structured prey
Falconi, Manuel (Universidad Nacional Autónoma de México. Departamento de Matemáticas)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Data: 2011
Resum: In this paper is analyzed the existence of periodic orbits in a predator-prey interaction, when the predator feeds on each one of the two age classes of prey. Three families of models are considered in correspondence with different prey and predator behaviors. Specifically, a constant predation rate on the non reproductive class of the prey is considered in the first family; a Holling predation of type two on the non reproductive class is incorporated in the second and in the third family; a defense group mechanism of the reproductive class is introduced in the third family. We prove that these three families of models exhibit Hopf bifurcations and that the Hopf periodic orbit is a local attractor.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: conferenceObject ; recerca ; preprint
Publicat a: Proceedings of the International Workshop Future Directions in Difference Equations. Santiago de Chile, Xile, 11è : 2011



9 p, 260.9 KB

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