Stability and Turing Patterns in a Predator–Prey Model with Hunting Cooperation and Allee Effect in Prey Population
From MaRDI portal
Publication:5120536
DOI10.1142/S0218127420501370zbMath1448.92249OpenAlexW3047625954WikidataQ115523572 ScholiaQ115523572MaRDI QIDQ5120536
No author found.
Publication date: 15 September 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127420501370
Bifurcation theory for ordinary differential equations (34C23) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)
Related Items (16)
Bifurcation Analysis and Spatio-Temporal Patterns of a Prey–Predator Model with Hunting Cooperation ⋮ Patterns of a superdiffusive consumer-resource model with hunting cooperation functional response ⋮ Mathematical analysis of a fractional resource-consumer model with disease developed in consumer ⋮ Stability analysis and optimal harvesting control of a cross-diffusion prey-predator system ⋮ Spatiotemporal complexity in a Leslie-Gower type predator-prey model near Turing-Hopf point ⋮ Role of Allee effect in prey and hunting cooperation in a generalist predator ⋮ The influence of an infectious disease on a prey-predator model equipped with a fractional-order derivative ⋮ Spatial dynamics of a fractional predator-prey system with time delay and Allee effect ⋮ Bifurcation analysis and pattern formation of predator-prey dynamics with Allee effect in predator population ⋮ Dynamical behaviour of an intraguild predator–prey model with prey refuge and hunting cooperation ⋮ Stability and Turing patterns of a predator-prey model with Holling type II functional response and Allee effect in predator ⋮ The impact of Allee effect on a Leslie-Gower predator-prey model with hunting cooperation ⋮ Turing instability and pattern formation in a diffusive Sel'kov-Schnakenberg system ⋮ Stability and bifurcation of a discrete predator-prey system with Allee effect and other food resource for the predators ⋮ Stability and cross-diffusion-driven instability in a diffusive predator-prey system with hunting cooperation functional response ⋮ Spatiotemporal complexity in a diffusive Brusselator model
Cites Work
- The mathematics behind biological invasions
- Global dynamics of a predator-prey model with defense mechanism for prey
- Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model
- Phase portraits, Hopf bifurcations and limit cycles of the Holling-Tanner models for predator-prey interactions
- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect
- Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
- The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model
- Analysis of a prey-predator model with non-local interaction in the prey population
- Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response
- Complex dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment
- Turing patterns in a diffusive epidemic model with saturated infection force
- Predator-prey dynamics with square root functional responses
- Amplitude equations for reaction-diffusion systems with a Hopf bifurcation and slow real modes
- Spatio-temporal dynamics near the steady state of a planktonic system
- Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching
- Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect
- Pattern formation in a ratio-dependent predator-prey model with cross-diffusion
- Impacts of foraging facilitation among predators on predator-prey dynamics
- Hunting cooperation and Allee effects in predators
- How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses
- Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect
- The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
- Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis
- Pattern Dynamics of a Diffusive Toxin Producing Phytoplankton–Zooplankton Model with Three-Dimensional Patch
- Allee Effect in Prey versus Hunting Cooperation on Predator — Enhancement of Stable Coexistence
- Rich Global Dynamics in a Prey–Predator Model with Allee Effect and Density Dependent Death Rate of Predator
- TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL
- Permanence and stability of a stage-structured predator-prey model
- Multiple bifurcation in a delayed predator-prey system with nonmonotonic functional response
This page was built for publication: Stability and Turing Patterns in a Predator–Prey Model with Hunting Cooperation and Allee Effect in Prey Population
