Stability and cross-diffusion-driven instability in a diffusive predator-prey system with hunting cooperation functional response
From MaRDI portal
Publication:1987404
DOI10.1016/j.nonrwa.2020.103106zbMath1437.35679OpenAlexW3004107098MaRDI QIDQ1987404
Publication date: 15 April 2020
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103106
Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Developmental biology, pattern formation (92C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)
Related Items (15)
Dynamical response of a reaction–diffusion predator–prey system with cooperative hunting and prey refuge ⋮ Pattern Dynamical Behaviors of One Type of Tree-Grass Model with Cross-Diffusion ⋮ Patterns of a superdiffusive consumer-resource model with hunting cooperation functional response ⋮ A predator-prey model with cooperative hunting in the predator and group defense in the prey ⋮ Global existence and spatiotemporal pattern formation of a nutrient-microorganism model with nutrient-taxis in the sediment ⋮ Bifurcation dynamics of a reaction–diffusion predator–prey model with fear effect in a predator‐poisoned environment ⋮ Determining a parabolic system by boundary observation of its non-negative solutions with biological applications ⋮ Stability and cross-diffusion-driven instability for a water-vegetation model with the infiltration feedback effect ⋮ Global analysis and Hopf-bifurcation in a cross-diffusion prey-predator system with fear effect and predator cannibalism ⋮ Pattern formation in a diffusive predator-prey system with cross-diffusion effects ⋮ Hopf bifurcation analysis of a predator-prey model with prey refuge and fear effect under non-diffusion and diffusion ⋮ Effect of hunting cooperation on the dynamic behavior for a diffusive Holling type II predator-prey model ⋮ On dynamics and stationary pattern formations of a diffusive predator-prey system with hunting cooperation ⋮ Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation ⋮ Complex pattern formations induced by the presence of cross-diffusion in a generalized predator-prey model incorporating the Holling type functional response and generalization of habitat complexity effect
Cites Work
- Unnamed Item
- On a non-selective harvesting prey-predator model with Hassell-Varley type functional response
- Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect
- Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior
- Effects of spatial grouping on the functional response of predators
- Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response
- Interaction between prey and mutually interfering predator in prey reserve habitat: pattern formation and the Turing-Hopf bifurcation
- Pattern formation driven by cross-diffusion in a 2D domain
- Spatial patterns of a predator-prey model with cross diffusion
- Turing patterns in a reaction-diffusion system modeling hunting cooperation
- Stability and Hopf bifurcation of the stationary solutions to an epidemic model with cross-diffusion
- Cross-diffusion induced Turing instability for a competition model with saturation effect
- Impact of the fear effect in a prey-predator model incorporating a prey refuge
- A non-autonomous Leslie-Gower model with Holling type IV functional response and harvesting complexity
- Pattern dynamics in a diffusive predator-prey model with hunting cooperations
- Spatial dynamics of predator-prey system with hunting cooperation in predators and type I functional response
- Qualitative analysis for a diffusive predator-prey model with hunting cooperative
- Asymptotic behavior of positive solutions to a predator-prey elliptic system with strong hunting cooperation in predators
- Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
- Bifurcation analysis in a predator-prey system with a functional response increasing in both predator and prey densities
- Strategies for the existence of spatial patterns in predator-prey communities generated by cross-diffusion
- Study of cross-diffusion induced Turing patterns in a ratio-dependent prey-predator model via amplitude equations
- Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect
- Dynamics and pattern formation in homogeneous diffusive predator-prey systems with predator interference or foraging facilitation
- Pattern formation in a ratio-dependent predator-prey model with cross-diffusion
- Impacts of foraging facilitation among predators on predator-prey dynamics
- Cross-diffusion-driven Turing instability and weakly nonlinear analysis of Turing patterns in a uni-directional consumer-resource system
- Hunting cooperation and Allee effects in predators
- Turing Instability and Hopf Bifurcation in a Modified Leslie–Gower Predator–Prey Model with Cross-Diffusion
- Spatial dynamics in a predator-prey model with herd behavior
- Biological Pattern Formation on Two-Dimensional Spatial Domains: A Nonlinear Bifurcation Analysis
- Bifurcations and Pattern Formation in a Predator–Prey Model
- SPATIAL ASPECT OF HUNTING COOPERATION IN PREDATORS WITH HOLLING TYPE II FUNCTIONAL RESPONSE
- Stability and Turing Patterns in a Predator–Prey Model with Hunting Cooperation and Allee Effect in Prey Population
- DYNAMIC ANALYSIS OF A NON-AUTONOMOUS RATIO-DEPENDENT PREDATOR-PREY MODEL WITH ADDITIONAL FOOD
- Allee Effect in Prey versus Hunting Cooperation on Predator — Enhancement of Stable Coexistence
- Pattern formation outside of equilibrium
- TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL
This page was built for publication: Stability and cross-diffusion-driven instability in a diffusive predator-prey system with hunting cooperation functional response
