Mathematical analysis of a diffusive predator-prey model with herd behavior and prey escaping
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Publication:5001277
DOI10.1051/mmnp/2019044zbMath1467.92161OpenAlexW3011355411WikidataQ115554453 ScholiaQ115554453MaRDI QIDQ5001277
Fethi Souna, Salih Djilali, Fayssal Charif
Publication date: 19 July 2021
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp/2019044
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
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- Global dynamics of a predator-prey model with defense mechanism for prey
- Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion
- The impact of water level fluctuations on a delayed prey-predator model
- Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality
- Modeling herd behavior in population systems
- Hopf bifurcation and Turing instability in spatial homogeneous and inhomogeneous predator-prey models
- A heroin epidemic model: very general non linear incidence, treat-age, and global stability
- Positive steady states of a diffusive predator-prey system with modified Holling-Tanner functional response
- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
- Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge
- Global properties for virus dynamics model with Beddington-DeAngelis functional response
- Applications of centre manifold theory
- Global qualitative analysis of a ratio-dependent predator-prey system
- Dynamics and patterns of a diffusive prey-predator system with a group defense for prey
- Steady state in a cross-diffusion predator-prey model with the Beddington-DeAngelis functional response
- Herd behavior in a predator-prey model with spatial diffusion: bifurcation analysis and Turing instability
- A delay-induced predator-prey model with Holling type functional response and habitat complexity
- Stochastic delay Lotka--Volterra model
- Predator-prey dynamics with square root functional responses
- Spatiotemporal patterns in a diffusive predator-prey model with prey social behavior
- Impact of prey herd shape on the predator-prey interaction
- Shape effects on herd behavior in ecological interacting population models
- Bifurcation analysis in a predator-prey system with a functional response increasing in both predator and prey densities
- Analysis on existence of bifurcation solutions for a predator-prey model with herd behavior
- Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point
- Ecoepidemics with infected prey in herd defence: the harmless and toxic cases
- A MINIMAL MODEL FOR ECOEPIDEMICS WITH GROUP DEFENSE
- Spatial dynamics in a predator-prey model with herd behavior
- Bifurcation analysis of a diffusive predator–prey system with a herd behavior and quadratic mortality
- A diffusive Holling–Tanner prey–predator model with free boundary
- Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis
- A diffusive predator–prey system with additional food and intra-specific competition among predators
- EFFECT OF HERD SHAPE IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TIME DELAY
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