Bifurcation analysis of a Kolmogorov type tritrophic model
DOI10.1007/S10440-022-00520-YzbMath1505.37100OpenAlexW4292623166MaRDI QIDQ2676770
Víctor Castellanos, Miguel Angel Dela-Rosa, Gamaliel Blé
Publication date: 28 September 2022
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-022-00520-y
Bogdanov-Takens bifurcationquasiperiodic orbitsHolling functional responseshomoclinic predictorKolmogorov type tritrophic model
Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Cites Work
- Unnamed Item
- Unnamed Item
- Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with prey harvesting
- Analytical study of a triple Hopf bifurcation in a tritrophic food chain model
- A derivation of Holling's type I, II and III functional responses in predator-prey systems
- Persistence in models of three interacting predator-prey populations
- Hopf bifurcation in three-species food chain models with group defense
- Mathematical analysis of some three-species food-chain models
- Chaos in three species food chains
- Mathematical biology. Vol. 1: An introduction.
- Remarks on food chain dynamics
- Bogdanov-Takens bifurcation in a Leslie type tritrophic model with general functional responses
- Limit cycles in a tritrophic food chain model with general functional responses
- Bogdanov-Takens bifurcation in a SIRS epidemic model with a generalized nonmonotone incidence rate
- Bogdanov-Takens and triple zero bifurcations of a delayed modified Leslie-Gower predator prey system
- Belyakov Homoclinic Bifurcations in a Tritrophic Food Chain Model
- Initialization of Homoclinic Solutions near Bogdanov--Takens Points: Lindstedt--Poincaré Compared with Regular Perturbation Method
- Bogdanov-Takens bifurcations of codimensions 2 and 3 in a Leslie-Gower predator-prey model with Michaelis-Menten-type prey harvesting
- Existence of limit cycles in a tritrophic food chain model with Holling functional responses of type II and III
- Improved Homoclinic Predictor for Bogdanov–Takens Bifurcation
- Spatial Ecology via Reaction‐Diffusion Equations
- Elements of Mathematical Ecology
- Coexistence of species in a tritrophic food chain model with Holling functional response type IV
- Codimension Bifurcation Analysis of a Modified Leslie–Gower Predator–Prey Model with Two Delays
- Andronov–Hopf and Bautin bifurcation in a tritrophic food chain model with Holling functional response types IV and II
- Hopf and Bautin Bifurcation in a Tritrophic Food Chain Model with Holling Functional Response Types III and IV
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Stability analysis with respect to two measures for population growth models of Kolmogorov type
- Elements of applied bifurcation theory
This page was built for publication: Bifurcation analysis of a Kolmogorov type tritrophic model