Exotic Bifurcations in Three Connected Populations with Allee Effect

DOI10.1142/S0218127421502023zbMath1472.92185OpenAlexW4252895763MaRDI QIDQ5158816

Gergely Röst, AmirHosein Sadeghimanesh

Publication date: 26 October 2021

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

Full work available at URL: https://doi.org/10.1142/s0218127421502023

zbMATH Keywords

bifurcationpopulation dynamicssteady statecylindrical algebraic decompositiondispersalAllee effectdiscriminant variety

Mathematics Subject Classification ID

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

Uses Software

• SINGULAR

Cites Work

• To connect or not to connect isolated patches
• Spatially heterogeneous populations with mixed negative and positive local density dependence
• Allee effects can both conserve and create spatial heterogeneity in population densities
• Symbolic versus numerical computation and visualization of parameter regions for multistationarity of biological networks
• Multiple attractors and long transients in spatially structured populations with an Allee effect
• Solving parametric polynomial systems
• A Case Study on the Parametric Occurrence of Multiple Steady States
• A package for solving parametric polynomial systems
• Ideals, Varieties, and Algorithms
• DYNAMICS OF THREE COUPLED EXCITABLE CELLS WITH D₃ SYMMETRY