Hopf bifurcation in symmetric configuration of predator-prey-mutualist systems |
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Authors: | Bindhyachal Rai |
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Institution: | a Department of Mathematics, University of Allahabad, Allahabad-211 002, India b Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada |
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Abstract: | In this paper we apply the equivariant degree method to study Hopf bifurcations in a system of differential equations describing a symmetric predator-prey-mutualist model with diffusive migration between interacting communities. A topological classification (according to symmetry types), of symmetric Hopf bifurcation in configurations of populations with D8, D12, A4 and S4 symmetries, is presented with estimation on minimal number of bifurcating branches of periodic solutions. |
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Keywords: | primary 92D25 37G15 37G40 secondary 34C15 34C14 34C25 |
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