Bogdanov-Takens bifurcation in a predator-prey model
DOI10.1007/s00033-016-0724-1zbMath1358.35205OpenAlexW2536859770WikidataQ59468838 ScholiaQ59468838MaRDI QIDQ506407
Zhihua Liu, Pierre Magal, Dongmei Xiao
Publication date: 31 January 2017
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-016-0724-1
Abstract parabolic equations (35K90) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations of singular points in dynamical systems (37G10) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Bifurcation theory of functional-differential equations (34K18)
Related Items (11)
Cites Work
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- Normal forms for an age structured model
- Hopf bifurcation for a size-structured model with resting phase
- On integrated semigroups and age structured models in \(L^p\) spaces.
- Hopf bifurcation for non-densely defined Cauchy problems
- Hopf bifurcation of an age-structured compartmental pest-pathogen model
- Hopf bifurcation for a maturity structured population dynamic model
- Periodicity and synchronization in blood-stage malaria infection
- Oscillations and stability due to juvenile competitive effects on adult fertility
- On the qualitative behaviour of populations with age-specific interactions
- Semiflows generated by Lipschitz perturbations of non-densely defined operators
- Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
- Differentiability of convolutions, integrated semigroups of bounded semi-variation, and the inhomogeneous Cauchy problem
- Hopf bifurcation in a size-structured population dynamic model with random growth
- On semilinear Cauchy problems with non-dense domain
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Hopf bifurcation and the stability of non-linear age-dependent population models
- Integrated semigroups and their applications to the abstract Cauchy problem
- Versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
- A predator prey model with age structure
- Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
- Periodic solutions for nonlinear equations of structured populations
- Elements of applied bifurcation theory.
- Dynamics in infinite dimensions. Appendix by Krzysztof P. Rybakowski.
- ``Integrated semigroups and integrated solutions to abstract Cauchy problems
- Singularities of vector fields
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Normal forms for semilinear equations with non-dense domain with applications to age structured models
- Homoclinic orbits and Hopf bifurcations in delay differential systems with T-B singularity
- Essential growth rate for bounded linear perturbation of nondensely defined Cauchy problems
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- HOPF BIFURCATION IN AN AGE-DEPENDENT POPULATION MODEL WITH DELAYED BIRTH PROCESS
- The Effects of Harvesting and Time Delay on Predator-prey Systems with Holling Type II Functional Response
- Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models
- Sustained oscillations in an evolutionary epidemiological model of influenza A drift
- Normal forms and Hopf bifurcation for partial differential equations with delays
- THE EFFECT OF DIFFUSION FOR A PREDATOR–PREY SYSTEM WITH NONMONOTONIC FUNCTIONAL RESPONSE
- Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
- Multiple bifurcation in a delayed predator-prey system with nonmonotonic functional response
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