Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting
From MaRDI portal
Publication:2123638
DOI10.1016/j.chaos.2020.110180zbMath1495.92061OpenAlexW3047416176WikidataQ115579596 ScholiaQ115579596MaRDI QIDQ2123638
Salih Djilali, Abdelkader Lakmeche, Fethi Souna
Publication date: 14 April 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110180
global stabilityHopf bifurcationpredator-prey modelherd behaviorquadratic predator harvestingTuring driven instability
Related Items (15)
Effect of the protection zone in a diffusive ratio-dependent predator-prey model with fear and Allee effect ⋮ Bifurcation analysis of a special delayed predator-prey model with herd behavior and prey harvesting ⋮ Mathematical analysis of a fractional resource-consumer model with disease developed in consumer ⋮ The influence of an infectious disease on a prey-predator model equipped with a fractional-order derivative ⋮ SPATIOTEMPORAL DYNAMICAL ANALYSIS OF A PREDATOR–PREY SYSTEM WITH FEAR AND GROUP DEFENSE IN PREY ⋮ Qualitative analysis of a prey-predator model with prey refuge and intraspecific competition among predators ⋮ Steady states of a diffusive predator-prey model with prey-taxis and fear effect ⋮ Stationary localised patterns without Turing instability ⋮ Bifurcation analysis of a diffusive predator–prey model with prey social behavior and predator harvesting ⋮ Threshold dynamics of a cooperation–diffusion–advection model in open advective environments ⋮ Bifurcations and dynamics of a discrete predator-prey model of Ricker type ⋮ 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 ⋮ Understanding biological control with entomopathogenic fungi—Insights from a stochastic pest–pathogen model ⋮ Spatiotemporal dynamics in a diffusive predator-prey system with Beddington-DeAngelis functional response ⋮ The dynamics of a bioeconomic model with Michaelis-Menten type prey harvesting
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion
- Stability and bifurcation analysis of a diffusive prey-predator system in Holling type III with a prey refuge
- Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality
- Turing instability in a coupled predator-prey model with different Holling type functional responses
- Modeling herd behavior in population systems
- Spatiotemporal complexity of a predator-prey system with constant harvest rate
- Dynamics of a three species food chain model with Crowley-Martin type functional response
- A heroin epidemic model: very general non linear incidence, treat-age, and global stability
- Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis-Menten type prey-harvesting
- 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
- Phase portraits, Hopf bifurcations and limit cycles of Leslie-Gower predator-prey systems with harvesting rates
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Applications of centre manifold theory
- Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation
- Stability and Hopf bifurcation of a delayed-diffusive predator-prey model with hyperbolic mortality and nonlinear prey harvesting
- Herd behavior in a predator-prey model with spatial diffusion: bifurcation analysis and Turing instability
- Theory and applications of partial functional differential equations
- Predator-prey dynamics with square root functional responses
- Hopf bifurcation and global stability of a diffusive Gause-type predator-prey models
- Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
- Impact of prey herd shape on the predator-prey interaction
- Bifurcation analysis of a diffusive ratio-dependent predator-prey model
- Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point
- Stability and Turing instability in a diffusive predator-prey system with beddington-deangelis functional response
- 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
- Stability and Bifurcation Analysis in a Predator–Prey System with Constant Harvesting and Prey Group Defense
- Spatiotemporal Model of a Predator–Prey System with Herd Behavior and Quadratic Mortality
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Normal forms and Hopf bifurcation for partial differential equations with delays
- Spatiotemporal patterns induced by cross-diffusion in predator–prey model with prey herd shape effect
- Mathematical analysis of a diffusive predator-prey model with herd behavior and prey escaping
- Pattern formation of a diffusive predator‐prey model with herd behavior and nonlocal prey competition
- Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
- Multiple Focus and Hopf Bifurcations in a Predator-Prey System with Nonmonotonic Functional Response
- EFFECT OF HERD SHAPE IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TIME DELAY
- On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
- Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
- Convergence of solutions of reaction-diffusion systems with time delays
This page was built for publication: Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting
