Hopf bifurcation and stability analysis of the Rosenzweig-MacArthur predator-prey model with stage-structure in prey
DOI10.3934/MBE.2020226zbMath1467.92150OpenAlexW3033522150WikidataQ100312524 ScholiaQ100312524MaRDI QIDQ2038804
Trisilowati, Isnani Darti, Agus Suryanto, Lazarus Kalvein Beay
Publication date: 7 July 2021
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2020226
stability analysisHopf bifurcationpredator-prey modelRosenzweig-MacArthur modelstage-structure in prey
Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)
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Cites Work
- Effects of prey refuge on a ratio-dependent predator-prey model with stage-structure of prey population
- A predator-prey model with functional response and stage structure for prey
- Persistence and global stability of a ratio-dependent predator-prey model with stage structure
- Permanence of periodic Holling type predator--prey system with stage structure for prey
- Dynamics in a Rosenzweig-MacArthur predator-prey system with quiescence
- Permanence of periodic Holling type-IV predator-prey system with stage structure for prey
- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a constant prey refuge
- The stage-structured predator-prey model and optimal harvesting policy
- Dynamical analysis of a fractional-order Rosenzweig-MacArthur model incorporating a prey refuge
- Stability and Hopf bifurcation for a stage-structured predator-prey model incorporating refuge for prey and additional food for predator
- Stability analysis of a prey-predator model incorporating a prey refuge
- Dynamic analysis of a fractional order prey-predator interaction with harvesting
- Disease-induced stabilization of predator-prey oscillations
- Dynamics of prey-predator model with stage structure in prey including maturation and gestation delays
- Dynamical analysis of a fractional-order eco-epidemiological model with disease in prey population
- Hopf bifurcation and stability for predator-prey systems with Beddington-DeAngelis type functional response and stage structure for prey incorporating refuge
- Fisheries-induced disruptive selection
- Dynamics of a general prey-predator model with prey-stage structure and diffusive effects
- Global stability and bifurcation analysis of a delay induced prey-predator system with stage structure
- Branching Scenarios in Eco-evolutionary Prey-Predator Models
- Elements of Mathematical Ecology
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