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Volume 5, Issue 4
Global Bifurcation for a Class of Lotka-Volterra Competitive Systems

Qiang Li, Lei Zhang & Peng Zhou

DOI: 10.12150/jnma.2023.720

J. Nonl. Mod. Anal., 5 (2023), pp. 720-739.

Published online: 2023-12

[An open-access article; the PDF is free to any online user.]

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  • Abstract

For a class of Lotka-Volterra competitive systems including both diffusion and advection, a global bifurcation result of positive steady states is established via a bifurcation approach. Also, the phenomenon of multiple positive steady states is discussed.

  • Keywords

Competitive system, bifurcation, positive steady state, multiple solutions.

  • AMS Subject Headings

35B32, 35K51, 37C65, 92D25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-5-720, author = {Li , QiangZhang , Lei and Zhou , Peng}, title = {Global Bifurcation for a Class of Lotka-Volterra Competitive Systems}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {4}, pages = {720--739}, abstract = {

For a class of Lotka-Volterra competitive systems including both diffusion and advection, a global bifurcation result of positive steady states is established via a bifurcation approach. Also, the phenomenon of multiple positive steady states is discussed.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.720}, url = {http://global-sci.org/intro/article_detail/jnma/22204.html} }
TY - JOUR T1 - Global Bifurcation for a Class of Lotka-Volterra Competitive Systems AU - Li , Qiang AU - Zhang , Lei AU - Zhou , Peng JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 720 EP - 739 PY - 2023 DA - 2023/12 SN - 5 DO - http://doi.org/10.12150/jnma.2023.720 UR - https://global-sci.org/intro/article_detail/jnma/22204.html KW - Competitive system, bifurcation, positive steady state, multiple solutions. AB -

For a class of Lotka-Volterra competitive systems including both diffusion and advection, a global bifurcation result of positive steady states is established via a bifurcation approach. Also, the phenomenon of multiple positive steady states is discussed.

Qiang Li, Lei Zhang & Peng Zhou. (2023). Global Bifurcation for a Class of Lotka-Volterra Competitive Systems. Journal of Nonlinear Modeling and Analysis. 5 (4). 720-739. doi:10.12150/jnma.2023.720
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