Solutions od Reaction-Diffusion Predator-Prey Systems

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Vafadar Seyyedy Nasl, Reihaneh | 2012

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 43778 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Hesaraki, Mahmoud
Abstract:
The dynamics of a reaction–diffusion predator–prey system with strong Allee effect in the prey population is considered. Nonexistence of non constant positive steady state solutions are shown to identify the ranges of parameters of spatial pattern formation. Bifurcations of spatially homogeneous and non homogeneous periodic solutions as well as non constant steady state solutions are studied.
These results show that the impact of the Allee effect essentially increases the system spatiotemporal complexity
Keywords:
Reaction-Diffusion Equation ; Predator-Prey Model ; Bifurcation ; Strong Allee Effect ; Spatiotemporal Patterns

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