Global Existence and Uniqueness of Periodic Waves in a Population Model with Density-Dependent Migrations and Allee Effect

DOI10.1142/S0218127417501929zbMath1379.35337OpenAlexW2780210009WikidataQ111174136 ScholiaQ111174136MaRDI QIDQ3132813

Pei Yu, Bin Qin, Xian Bo Sun

Publication date: 30 January 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127417501929

zbMATH Keywords

limit cycleheteroclinic orbithomoclinic orbitabelian integralbiological invasion modelisolated traveling wave

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Traveling wave solutions (35C07) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Uses Software

• wavetrain

Cites Work

• Unnamed Item
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• A criterion for determining the monotonicity of the ratio of two Abelian integrals
• Limit periodic travelling wave solution of a model for biological invasions
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• Allee effects, extinctions, and chaotic transients in simple population models
• Exactly Solvable Models of Biological Invasion