Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response
DOI10.1016/j.jde.2014.04.024zbMath1326.34082OpenAlexW2014368710MaRDI QIDQ2250571
Jing Song, Shigui Ruan, Ji-Cai Huang
Publication date: 7 July 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2014.04.024
Hopf bifurcationpredator-prey systemBogdanov-Takens bifurcationHolling type-III functional responsedegenerate focus type BT bifurcation of codim 3
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (only showing first 100 items - show all)
Cites Work
- Multiparametric bifurcations of an epidemiological model with strong Allee effect
- A predator-prey model with a Holling type I functional response including a predator mutual interference
- Canard cycles for predator-prey systems with Holling types of functional response
- Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III
- Bifurcation analysis of a predator-prey system with generalised Holling type III functional response
- Uniqueness of limit cycles in Gause-type models of predator-prey systems
- Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
- Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
- Qualitative analysis of a predator-prey system with limit cycles
- Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type
- Limit cycles in the Holling-Tanner model
- The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model
- Analyses of bifurcations and stability in a predator-prey system with Holling type-IV functional response
- Persistence in predator-prey systems with ratio-dependent predator influence
- Dynamics of a predator-prey model with non-monotonic response
- Multiple bifurcations of a predator-prey system
- Bifurcations of a predator-prey system of Holling and Leslie types
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- The properties of a stochastic model for the predator-prey type of interaction between two species
- Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3
- Bifurcation Analysis of a Predator-Prey System Involving Group Defence
- Dynamics of a Predator-Prey Model
- The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
- Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response
- Global Stability for a Class of Predator-Prey Systems
- Multiple Focus and Hopf Bifurcations in a Predator-Prey System with Nonmonotonic Functional Response
- SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response