Study of co-dimension two bifurcation of a prey-predator model with prey refuge and non-linear harvesting on both species
DOI10.1007/S12215-023-00881-9zbMath1529.39013OpenAlexW4365145700WikidataQ122169119 ScholiaQ122169119MaRDI QIDQ6183476
Susmita Sarkar, Prahlad Majumdar, Surajit Debnath, Uttam Ghosh
Publication date: 4 January 2024
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-023-00881-9
saddle-node bifurcationHopf bifurcationtranscritical bifurcationBeddington-DeAngelis functional responseBogdanov-Takens bifurcationprey refugenon-linear harvesting
Population dynamics (general) (92D25) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)
Cites Work
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- Stability and bifurcation analysis in a predator-prey system with Michaelis-Menten type predator harvesting
- Bifurcation analysis in a predator-prey model with constant-yield predator harvesting
- Dynamical complexity of a prey-predator model with nonlinear predator harvesting
- Dynamical analysis of a prey-predator model with Beddington-DeAngelis type function response incorporating a prey refuge
- Global dynamics of an additional food provided predator-prey system with constant harvest in predators
- Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect
- Effects of prey refuges on a predator-prey model with a class of functional responses: The role of refuges
- The effects of refuges on predator-prey interactions: A reconsideration
- Elements of applied bifurcation theory.
- Global analysis of the predator--prey system with Beddington-DeAngelis functional response.
- The influence of commensalism on a Lotka-Volterra commensal symbiosis model with Michaelis-Menten type harvesting
- Boundedness and global stability for a predator-prey system with the Beddington-DeAngelis functional response
- Bifurcation analysis in a singular Beddington-DeAngelis predator-prey model with two delays and nonlinear predator harvesting
- Bifurcation analysis of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and strong Allee effect
- Complex dynamics of a prey-predator interaction model with Holling type-II functional response incorporating the effect of fear on prey and non-linear predator harvesting
- MULTIPLE BIFURCATIONS IN A PREDATOR–PREY SYSTEM OF HOLLING AND LESLIE TYPE WITH CONSTANT-YIELD PREY HARVESTING
- Bifurcations of Invariant Tori in Predator-Prey Models with Seasonal Prey Harvesting
- THE EFFECTS OF HARVESTING AND TIME DELAY ON PREDATOR-PREY SYSTEMS WITH BEDDINGTON–DEANGELIS FUNCTIONAL RESPONSE
- Bogdanov-Takens bifurcations of codimensions 2 and 3 in a Leslie-Gower predator-prey model with Michaelis-Menten-type prey harvesting
- EFFECT OF HARVESTING AND PREY REFUGE IN A PREY–PREDATOR SYSTEM
- REGULATION OF A PREY–PREDATOR FISHERY INCORPORATING PREY REFUGE BY TAXATION: A DYNAMIC REACTION MODEL
- GLOBAL DYNAMICS OF A PREY–PREDATOR MODEL WITH HOLLING TYPE III FUNCTIONAL RESPONSE IN THE PRESENCE OF HARVESTING
- Incorporating Prey Refuge in a Prey-Predator Model with Beddington-DeAngelis Type Functional Response: A Comparative Study on Intra-Specific Competition
- Dynamics and bifurcations of a modified Leslie‐Gower–type model considering a Beddington‐DeAngelis functional response
- Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
- BIFURCATION ANALYSIS OF A TWO-DIMENSIONAL PREDATOR–PREY MODEL WITH HOLLING TYPE IV FUNCTIONAL RESPONSE AND NONLINEAR PREDATOR HARVESTING
- On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
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