Complex dynamics of a diffusive predator-prey model with strong allee effect and threshold harvesting
From MaRDI portal
Publication:1799169
DOI10.1016/j.jmaa.2018.09.047zbMath1404.35465OpenAlexW2894384510WikidataQ115570295 ScholiaQ115570295MaRDI QIDQ1799169
Daiyong Wu, Yuan Yuan, Hongyong Zhao
Publication date: 18 October 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.09.047
Singular perturbations in context of PDEs (35B25) 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)
Related Items (16)
Dynamics of a predator-prey model with strong Allee effect and nonconstant mortality rate ⋮ Dynamic analysis of a modified algae and fish model with aggregation and Allee effect ⋮ Prey-predator dynamics with adaptive protection mutualism ⋮ Spatiotemporal dynamics of a diffusive predator-prey system with allee effect and threshold hunting ⋮ Stochastic dynamical analysis in a hybrid bioeconomic system with telephone noise and distributed delay ⋮ Spatiotemporal dynamics of Leslie-Gower predator-prey model with Allee effect on both populations ⋮ Spatiotemporal dynamics in a diffusive predator-prey model with multiple Allee effect and herd behavior ⋮ Impacts of prey-taxis and nonconstant mortality on a spatiotemporal predator-prey system ⋮ Well-posedness of a free boundary problem of early atherosclerotic plaque formation with reverse cholesterol transport ⋮ Dynamics analysis of a diffusive predator-prey model with spatial memory and nonlocal fear effect ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Stability and bifurcation of a delayed diffusive predator-prey system with food-limited and nonlinear harvesting ⋮ Non-constant steady states and Hopf bifurcation of a species interaction model ⋮ Dynamics in a diffusive predator–prey system with double Allee effect and modified Leslie–Gower scheme ⋮ Complex dynamics in a Filippov pest control model with group defense
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bogdanov-Takens bifurcation of codimension 3 in a predator-prey model with constant-yield predator harvesting
- Regimes of biological invasion in a predator-prey system with the Allee effect
- Dynamics and patterns of a diffusive Leslie-Gower prey-predator model with strong Allee effect in prey
- Traveling wave solutions for a continuous and discrete diffusive predator-prey model
- Bifurcation analysis in a predator-prey model with constant-yield predator harvesting
- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- Predator-prey system with strong Allee effect in prey
- Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect
- Dynamics in a ratio-dependent predator--prey model with predator harvesting
- Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems
- Qualitative analysis of a predator-prey model with constant-rate prey harvesting incorporating a constant prey refuge
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Large amplitude stationary solutions to a chemotaxis system
- Geometric theory of semilinear parabolic equations
- An application of the invariance principle to reaction diffusion equations
- Diffusion vs cross-diffusion: An elliptic approach
- A predator-prey-disease model with immune response in infected prey
- Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect.
- Strong Allee effect in a diffusive predator-prey system with a protection zone
- Dynamics of prey threshold harvesting and refuge
- How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses
- Dynamics of a diffusive predator-prey model with modified Leslie-Gower schemes and additive Allee effect
- Modelling and analysis of a harvested prey--predator system incorporating a prey refuge
- On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
- Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion
- Qualitative analysis of a ratio-dependent predator–prey system with diffusion
This page was built for publication: Complex dynamics of a diffusive predator-prey model with strong allee effect and threshold harvesting
