Pattern dynamics of a reaction-diffusion predator-prey system with both refuge and harvesting
From MaRDI portal
Publication:4984994
DOI10.1142/S1793524520500849zbMath1461.92086OpenAlexW3090218441WikidataQ115522683 ScholiaQ115522683MaRDI QIDQ4984994
Santabrata Chakravarty, Lakshmi Narayan Guin, Sudipta Kumar Pal, Salih Djilali
Publication date: 21 April 2021
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524520500849
stationary patternsratio-dependent functional responsediffusion-driven instabilitypattern selectiontwo species reaction-diffusion system
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)
Related Items (14)
Dynamical response of a reaction–diffusion predator–prey system with cooperative hunting and prey refuge ⋮ Vegetation Pattern Formation and Transition Caused by Cross-Diffusion in a Modified Vegetation-Sand Model ⋮ Cross-diffusion-driven instability in an interacting species model with prey refuge ⋮ An efficient method for oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics ⋮ Global regularity for the tropical climate model with fractional diffusion ⋮ Qualitative analysis of a prey-predator model with prey refuge and intraspecific competition among predators ⋮ On the Dynamics of a Harvested Tri-trophic Food Chain Model with Alternative Food Source ⋮ Impacts of prey-taxis and nonconstant mortality on a spatiotemporal predator-prey system ⋮ Hopf bifurcation in an age-structured predator-prey system with Beddington-DeAngelis functional response and constant harvesting ⋮ Dynamical behaviour of an intraguild predator–prey model with prey refuge and hunting cooperation ⋮ Spatially inhomogeneous bifurcating periodic solutions induced by nonlocal competition in a predator–prey system with additional food ⋮ Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect ⋮ The dynamics of a bioeconomic model with Michaelis-Menten type prey harvesting ⋮ Spatiotemporal pattern selection in a nontoxic-phytoplankton -- toxic-phytoplankton -- zooplankton model with toxin avoidance effects
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bifurcation analysis in a predator-prey model with constant-yield predator harvesting
- Pattern formation of a spatial predator-prey system
- Existence of spatial patterns in a predator-prey model with self- and cross-diffusion
- Spatiotemporal complexity of a predator-prey system with constant harvest rate
- Effect of prey refuge on a harvested predator-prey model with generalized functional response
- Dynamics in a ratio-dependent predator--prey model with predator harvesting
- Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge
- Dynamics of ratio-dependent predator-prey models with nonconstant harvesting
- Qualitative analysis of a predator-prey model with constant-rate prey harvesting incorporating a constant prey refuge
- Global stability of predator-prey interactions
- Theory of functional differential equations. 2nd ed
- Effects of optimal antipredator behavior of prey on predator-prey dynamics: The role of refuges
- Global qualitative analysis of a ratio-dependent predator-prey system
- Global dynamics of a ratio-dependent predator-prey system
- Rich dynamics of a ratio-dependent one-prey two-predators model
- Spatiotemporal dynamics of reaction-diffusion models of interacting populations
- Patterns induced by super cross-diffusion in a predator-prey system with Michaelis-Menten type harvesting
- Dynamic behaviour of a reaction-diffusion predator-prey model with both refuge and harvesting
- Spatiotemporal pattern formation and selection induced by nonlinear cross-diffusion in a toxic-phytoplankton-zooplankton model with Allee effect
- Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion
- Variability, vagueness and comparison methods for ecological models
- Spatial patterns of a predator-prey model with cross diffusion
- Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative
- Turing-Hopf bifurcations in a predator-prey model with herd behavior, quadratic mortality and prey-taxis
- Impact of prey herd shape on the predator-prey interaction
- Spatial patterns through Turing instability in a reaction-diffusion predator-prey model
- A free boundary problem for \textit{Aedes aegypti} mosquito invasion
- Additive noise driven phase transitions in a predator-prey system
- Study of cross-diffusion induced Turing patterns in a ratio-dependent prey-predator model via amplitude equations
- Dynamics and pattern formation in homogeneous diffusive predator-prey systems with predator interference or foraging facilitation
- Spatial patterns of a fractional type cross-diffusion Holling-Tanner model
- On a cross-diffusion system arising in image denoising
- Effect of prey refuge on spatiotemporal dynamics of the reaction-diffusion system
- Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
- Qualitative analysis of steady states to the Sel'kov model
- Existence of spatiotemporal patterns in the reaction–diffusion predator–prey model incorporating prey refuge
- Turing-Hopf bifurcation analysis in a superdiffusive predator-prey model
- Dynamics of a Beddington-DeAngelis type predator-prey system with constant rate harvesting
- Existence of spatial patterns in reaction–diffusion systems incorporating a prey refuge
- Spatiotemporal patterns induced by cross-diffusion in predator–prey model with prey herd shape effect
- Mathematical and numerical analysis of a three‐species predator‐prey model with herd behavior and time fractional‐order derivative
- CROSS-DIFFUSION-DRIVEN PATTERN FORMATION AND SELECTION IN A MODIFIED LESLIE–GOWER PREDATOR–PREY MODEL WITH FEAR EFFECT
- Pattern formation of a diffusive predator‐prey model with herd behavior and nonlocal prey competition
- EFFECT OF HERD SHAPE IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TIME DELAY
- Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
This page was built for publication: Pattern dynamics of a reaction-diffusion predator-prey system with both refuge and harvesting
