The limit cycles of a general Kolmogorov system
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Publication:429278
DOI10.1016/j.jmaa.2012.02.065zbMath1252.34037OpenAlexW2058079897MaRDI QIDQ429278
Yueding Yuan, Yuejin Yuan, Haibo Chen, Chao-xiong Du
Publication date: 19 June 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.02.065
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25)
Related Items (14)
Robust cycles in Kolmogorov-Lotka-Volterra class of models with intraspecific co-operation ⋮ Center-focus problem and limit cycles bifurcations for a class of cubic Kolmogorov model ⋮ On the uniqueness of limit cycles for generalized Liénard systems ⋮ On the practical stability with respect to \(h\)-manifolds of hybrid Kolmogorov systems with variable impulsive perturbations ⋮ Existence and nonexistence of limit cycles for Liénard-type equations with bounded nonlinearities and φ-Laplacian ⋮ Analysis of a class of Kolmogorov systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Multiple bifurcations of critical period for a quartic Kolmogorov model ⋮ Double bifurcation for a cubic Kolmogorov model ⋮ Behavior of limit cycle bifurcations for a class of quartic Kolmogorov models in a symmetrical vector field ⋮ Uniform persistence in a prey-predator model with a diseased predator ⋮ Limit Cycles in a Class of Quartic Kolmogorov Model with Three Positive Equilibrium Points ⋮ A Class of Quintic Kolmogorov Systems with Explicit Non-algebraic Limit Cycle
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