One and three limit cycles in a cubic predator–prey system

DOI10.1002/mma.791zbMath1114.34030OpenAlexW2139566167MaRDI QIDQ5293176

Yuanming Wang, Le-Min Zhu, Xun-Cheng Huang

Publication date: 26 June 2007

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.791

zbMATH Keywords

predator-prey modelscubic differential systemthree limit cycles

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25)

Related Items (7)

Multi-dynamics of travelling bands and pattern formation in a predator-prey model with cubic growth ⋮ Rich dynamics of a predator-prey model with spatial motion ⋮ Stability and bifurcation in two species predator-prey models ⋮ Determining a parabolic system by boundary observation of its non-negative solutions with biological applications ⋮ A mathematical characterization for patterns of a Keller-Segel model with a cubic source term ⋮ Prey herd behavior modeled by a generic non-differentiable functional response ⋮ Global existence and convergence of solutions to a cross-diffusion cubic predator-prey system with stage structure for the prey

Cites Work

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