Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal
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Publication:2789362
DOI10.1137/15M1027991zbMath1382.35323OpenAlexW2277016641WikidataQ111491205 ScholiaQ111491205MaRDI QIDQ2789362
Publication date: 29 February 2016
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1027991
predator-preyintegrodifferential equationoscillatory systemsGaussian kernelperiodic traveling wavedispersal kernelwavetraincyclic populationLaplace kernel
Periodic solutions to PDEs (35B10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40) Traveling wave solutions (35C07) Integro-partial differential equations (35R09)
Related Items (21)
Traveling waves for a nonlocal dispersal predator-prey model with two preys and one predator ⋮ How Does Nonlocal Dispersal Affect the Selection and Stability of Periodic Traveling Waves? ⋮ Traveling wave solutions in predator–prey models with competition ⋮ Effects of boundary conditions on pattern formation in a nonlocal prey-predator model ⋮ Periodic Traveling Waves Generated by Invasion in Cyclic Predator--Prey Systems: The Effect of Unequal Dispersal ⋮ Prey-predator model with a nonlocal consumption of prey ⋮ The joint impacts of dispersal delay and dispersal patterns on the stability of predator-prey metacommunities ⋮ Spatio-Temporal Pattern Formation in Holling–Tanner Type Model with Nonlocal Consumption of Resources ⋮ Large scale patterns in mussel beds: stripes or spots? ⋮ Wave propagation for a class of non-local dispersal non-cooperative systems ⋮ Dynamical stabilization and traveling waves in integrodifference equations ⋮ Travelling wave solutions in a predator–prey integrodifference system ⋮ Coexistence for an almost periodic predator-prey model with intermittent predation driven by discontinuous prey dispersal ⋮ Invasion waves for a nonlocal dispersal predator-prey model with two predators and one prey ⋮ Traveling waves in a nonlocal dispersal predator-prey model ⋮ Effects of non-local competition on plankton–fish dynamics ⋮ Long-distance seed dispersal affects the resilience of banded vegetation patterns in semi-deserts ⋮ Effect of kernels on spatio-temporal patterns of a non-local prey-predator model ⋮ Traveling wave solutions for Gause type predator-prey systems with density dependence: a heteroclinic orbit in \(\mathbb R^4\) ⋮ Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation ⋮ Propagation dynamics in periodic predator-prey systems with nonlocal dispersal
Uses Software
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