Limit periodic travelling wave solution of a model for biological invasions

DOI10.1016/j.aml.2014.02.017zbMath1314.92150OpenAlexW1967683211WikidataQ56449863 ScholiaQ56449863MaRDI QIDQ2349262

Qin-long Wang, Wen-tao Huang

Publication date: 22 June 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2014.02.017

zbMATH Keywords

Hopf bifurcationsingular point quantitybiological invasion modellimit travelling wave solution

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)

Related Items (6)

Periodic solutions with equal period for the Friedmann-Robertson-Walker model ⋮ Monotonicity and asymptotic analysis of the period function of nearly parallel vortex filaments model ⋮ Isolated periodic wave trains and local critical wave lengths for a nonlinear reaction-diffusion equation ⋮ Monotonicity of limit wave speed of traveling wave solutions for a perturbed generalized KdV equation ⋮ Isolated periodic wave solutions arising from Hopf and Poincaré bifurcations in a class of single species model ⋮ Global Existence and Uniqueness of Periodic Waves in a Population Model with Density-Dependent Migrations and Allee Effect

Uses Software

• wavetrain

Cites Work

• Unnamed Item
• Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations
• Theory of values of singular point in complex autonomous differential systems
• An exactly solvable model of population dynamics with density-dependent migrations and the Allee effect
• Linear recursion formulas of quantities of singular point and applications.
• A cubic system with twelve small amplitude limit cycles
• Exactly Solvable Models of Biological Invasion

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