Existence of limit cycles in a tritrophic food chain model with Holling functional responses of type II and III
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Publication:3187847
DOI10.1002/mma.3842zbMath1345.92112OpenAlexW2464837953MaRDI QIDQ3187847
Jaume Llibre, Víctor Castellanos, Gamaliel Blé
Publication date: 5 September 2016
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: http://ddd.uab.cat/record/221042
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)
Related Items (10)
Existence of limit cycles in a three level trophic chain with Lotka-Volterra and Holling type II functional responses ⋮ Bifurcation analysis of a Kolmogorov type tritrophic model ⋮ Stability and permanence of a discrete-time two-prey one-predator system with Holling type-III functional response ⋮ Hopf and Bautin Bifurcation in a Tritrophic Food Chain Model with Holling Functional Response Types III and IV ⋮ Complex Dynamics Due to Multiple Limit Cycle Bifurcations in a Tritrophic Food Chain Model ⋮ Periodic Solutions of Continuous Third-Order Differential Equations with Piecewise Polynomial Nonlinearities ⋮ Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers ⋮ Complex Dynamics of a Filippov Three-Species Food Chain Model ⋮ The existence of a limit cycle in a pollinator-plant-herbivore mathematical model ⋮ Pattern Formation in Intra-Specific Competition Food Chain System with Bifurcation and Chaos Control
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