Periodic Traveling Waves Generated by Invasion in Cyclic Predator--Prey Systems: The Effect of Unequal Dispersal

DOI10.1137/16M1107188zbMath1387.35089OpenAlexW2775379696WikidataQ115525622 ScholiaQ115525622MaRDI QIDQ4596079

Jamie J. R. Bennett, Jonathan A. Sherratt

Publication date: 8 December 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1107188

zbMATH Keywords

stabilityHopf bifurcationwavetraincyclic populationsspatiotemporal oscillationscomplex Ginzburg-Landau normal form

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Absolute and convective instability and stability in hydrodynamic stability (76E15) Ecology (92D40) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Traveling wave solutions (35C07)

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Spreading speed in an integrodifference predator-prey system without comparison principle, Periodic traveling waves with large speed, Periodic travelling waves for a fourth order nonlinear evolution equation, Frequency modes of unstable spiral waves in two-dimensional Rosenzweig-MacArthur ecological networks, Analytical and numerical detection of traveling wave and wave-train solutions in a prey-predator model with weak Allee effect, How do dispersal rates affect the transition from periodic to irregular spatio-temporal oscillations in invasive predator-prey systems?, Heterogeneity in behaviour and movement can influence the stability of predator-prey periodic travelling waves

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