Bifurcation and Turing pattern formation in a diffusive ratio-dependent predator-prey model with predator harvesting
DOI10.1016/j.nonrwa.2019.102962zbMath1430.35020OpenAlexW2966806422MaRDI QIDQ2286760
Weiming Wang, Wanjun Li, Sadia Ishag, Shengmao Fu, Xiaoyan Gao
Publication date: 22 January 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.2019.102962
Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
Related Items (14)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hopf bifurcation in spatially homogeneous and inhomogeneous autocatalysis models
- Hopf bifurcation and steady-state bifurcation for an autocatalysis reaction-diffusion model
- Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model
- Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey
- Local stability analysis of ratio-dependent predator-prey models with predator harvesting rates
- Predator-prey interaction with harvesting: mathematical study with biological ramifications
- Bifurcation and stability analysis of a ratio-dependent predator-prey model with predator harvesting rate
- A comparative study of bioeconomic ratio-dependent predator-prey model with and without additional food to predators
- Dynamics in a ratio-dependent predator--prey model with predator harvesting
- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
- Solving ratio-dependent predator-prey system with constant effort harvesting using Adomian decomposition method
- About deterministic extinction in ratio-dependent predator-prey models
- Uniqueness and stability of positive steady state solutions for a ratio-dependent predator-prey system with a crowding term in the prey equation
- Coexistence states of a Holling type-II predator-prey system
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
- Qualitative analysis on a diffusive prey-predator model with ratio-dependent functional response
- Uniqueness of limit cycles in Gause-type models of predator-prey systems
- Large amplitude stationary solutions to a chemotaxis system
- Global stability of Gause-type predator-prey systems
- Diffusion vs cross-diffusion: An elliptic approach
- Effects of spatial grouping on the functional response of predators
- Convergence results in a well-known delayed predator-prey system
- Global qualitative analysis of a ratio-dependent predator-prey system
- Global dynamics of a ratio-dependent predator-prey system
- Parametric analysis of the ratio-dependent predator-prey model
- Qualitative analysis on positive steady-state solutions for an autocatalysis model with high order
- Spatiotemporal transmission dynamics for influenza disease in a heterogenous environment
- Positive steady states in an epidemic model with nonlinear incidence rate
- Positive steady states of a density-dependent predator-prey model with diffusion
- Turing patterns in a diffusive epidemic model with saturated infection force
- Global stability in delay differential systems without dominating instantaneous negative feedbacks
- Transmission dynamics of Zika virus with spatial structure -- a case study in Rio de Janeiro, Brazil
- Dynamics of a Leslie-Gower predator-prey model with additive Allee effect
- Complex dynamics of a diffusive epidemic model with strong Allee effect
- Dynamical analysis of a delayed ratio-dependent Holling-Tanner predator-prey model
- Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
- Qualitative theory of planar differential systems
- Spatiotemporal complexity in a predator-prey model with weak Allee effects
- Spatial, temporal and spatiotemporal patterns of diffusive predator–prey models with mutual interference
- Dynamics of a Predator-Prey Model
- Bifurcations and Pattern Formation in a Predator–Prey Model
- Turing patterns in a reaction–diffusion epidemic model
- Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
- Self-organized spatial structures in a ratio-dependent predator-prey model
- Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
This page was built for publication: Bifurcation and Turing pattern formation in a diffusive ratio-dependent predator-prey model with predator harvesting