Periodic traveling wave train and point-to-periodic traveling wave for a diffusive predator-prey system with Ivlev-type functional response

DOI10.1016/J.JMAA.2014.03.042zbMath1310.34052OpenAlexW1971371816WikidataQ115570359 ScholiaQ115570359MaRDI QIDQ489021

Pei-xuan Weng, Ye-hui Huang

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.042

zbMATH Keywords

geometric singular perturbationshooting methoddiffusive predator-prey systemperiodic traveling wave trainpoint-to-periodic traveling wave

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)

Related Items (8)

Stability and traveling waves in a Beddington-DeAngelis type stage-structured predator-prey reaction-diffusion systems with nonlocal delays and harvesting ⋮ CRITICAL TRAVELLING WAVES IN ONE MODEL OF THE ”REACTION-DIFFUSION” TYPE ⋮ Stability and Hopf bifurcation for a delayed predator-prey model with stage structure for prey and Ivlev-type functional response ⋮ Traveling waves of predator-prey system with a sedentary predator ⋮ Traveling waves in a stage-structured predator-prey model with Holling type functional response ⋮ Traveling waves in a generalized nonlinear dispersive–dissipative equation ⋮ Existence of wave trains for a diffusive age-structured predator-prey model with Ivlev-type functional response ⋮ Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal

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