Global harvesting and stocking dynamics in a modified Rosenzweig-MacArthur model
DOI10.1007/S12346-024-01056-2zbMATH Open1544.34097MaRDI QIDQ6550196
Fanwei Meng, Yan Cong Xu, Libin Rong, Yue Yang
Publication date: 4 June 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
overexploitationBogdanov-Takens bifurcation of codimensions 2 and 3codimension-2 cusp of limit cyclesconstant rate harvesting and stockingdegenerate Hopf bifurcation of codimension 2
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) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Organizing center for the bifurcation analysis of a generalized Gause model with prey harvesting and Holling response function of type III
- Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III
- Traveling wave solutions for a class of predator-prey systems
- Bifurcation analysis of a predator-prey system with generalised Holling type III functional response
- Versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
- Constant-rate stocking of predator-prey systems
- Coexistence properties of some predator-prey systems under constant rate harvesting and stocking
- An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking
- On global stability of a predator-prey system
- Stability regions and transition phenomena for harvested predator-prey systems
- Stability regions in predator-prey systems with constant-rate prey harvesting
- The elements of physical biology.
- Mathematical biology. Vol. 1: An introduction.
- A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4
- Bifurcation and overexploitation in Rosenzweig-MacArthur model
- Codimension 3 B-T bifurcations in an epidemic model with a nonlinear incidence
- Bifurcations analysis of Leslie-Gower predator-prey models with nonlinear predator-harvesting
- A comparison of two predator-prey models with Holling's type I functional response
- Bifurcations and complex dynamics of an SIR model with the impact of the number of hospital beds
- Bifurcations of a predator-prey system of Holling and Leslie types
- The properties of a stochastic model for the predator-prey type of interaction between two species
- BIFURCATIONS OF A HOLLING-TYPE II PREDATOR–PREY SYSTEM WITH CONSTANT RATE HARVESTING
- Coexistence Region and Global Dynamics of a Harvested Predator-Prey System
- ANALYSIS OF BOGDANOV–TAKENS BIFURCATION OF CODIMENSION 2 IN A GAUSE-TYPE MODEL WITH CONSTANT HARVESTING OF BOTH SPECIES AND DELAY EFFECT
- Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
- Heteroclinic Bifurcation in the Michaelis–Menten-Type Ratio-Dependent Predator-Prey System
- Fluctuations in the abundance of a species considered mathematically.
- Imperfect and Bogdanov-Takens bifurcations in biological models: from harvesting of species to isolation of infectives
- Modelling the dynamics in a predator-prey system with Allee effects and anti-predator behavior
This page was built for publication: Global harvesting and stocking dynamics in a modified Rosenzweig-MacArthur model
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6550196)
