Global asymptotic stability of a ratio-dependent predator-prey system with diffusion
From MaRDI portal
Publication:817481
DOI10.1016/j.cam.2005.04.007zbMath1093.35039OpenAlexW2034616222WikidataQ115581123 ScholiaQ115581123MaRDI QIDQ817481
Publication date: 16 March 2006
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2005.04.007
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)
Related Items
Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point ⋮ Dynamics in a diffusive plant-herbivore model with toxin-determined functional response ⋮ Rich dynamics of a predator-prey model with spatial motion ⋮ Persistence, Stability and Hopf Bifurcation in a Diffusive Ratio-Dependent Predator–Prey Model with Delay ⋮ Global stability of solutions in a reaction-diffusion system of predator-prey model ⋮ Complex dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment ⋮ Coexistence states for a modified Leslie-gower type predator-prey model with diffusion ⋮ Traveling waves in a diffusive predator-prey model with Holling type-III functional response ⋮ Global asymptotic stability of a diffusive predator-prey model with ratio-dependent functional response ⋮ Positive periodic solutions for neutral delay ratio-dependent predator-prey model with Holling type III functional response ⋮ Positive solutions for a general Gause-type predator-prey model with monotonic functional response ⋮ Traveling wave solution in a diffusive predator-prey system with Holling type-IV functional response ⋮ Traveling waves in a diffusive predator-prey model incorporating a prey refuge ⋮ Stability and Hopf bifurcation in a diffusive predator-prey system with Beddington-DeAngelis functional response and time delay ⋮ Positive periodic solutions for a neutral delay ratio-dependent predator-prey model with a Holling type II functional response ⋮ Spatiotemporal dynamics of a diffusive predator-prey model with generalist predator ⋮ Note on permanence and global stability in delayed ratio-dependent predator-prey models with monotonic functional responses ⋮ On the dynamics of a predator-prey model with nonconstant death rate and diffusion ⋮ Qualitative analysis for a ratio-dependent predator-prey model with disease and diffusion ⋮ Positive steady states of a diffusive predator-prey system with modified Holling-Tanner functional response ⋮ Self-replication of spatial patterns in a ratio-dependent predator-prey model ⋮ The effects of impulsive harvest on a predator-prey system with distributed time delay ⋮ Global asymptotic stability of a ratio dependent predator prey system with diffusion and delay ⋮ Stability and Turing instability in a diffusive predator-prey system with beddington-deangelis functional response ⋮ On the dynamics of an \(n\)-dimensional ratio-dependent predator-prey system with diffusion ⋮ Qualitative analysis for a ratio-dependent predator-prey model with stage structure and diffusion ⋮ Numerical solutions of a Michaelis-Menten-type ratio-dependent predator-prey system with diffusion ⋮ The study of global stability of a periodic Beddington-DeAngelis and Tanner predator-prey model ⋮ Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamics ⋮ Coexistence states of a ratio-dependent predator-prey model with nonlinear diffusion ⋮ Traveling wave solutions in a diffusive predator-prey system with Holling type-III functional response ⋮ Asymptotic dynamics and spatial patterns of a ratio-dependent predator–prey system with prey-taxis ⋮ Global stability in a diffusive Beddington-DeAngelis and Tanner predator-prey model ⋮ The study of global stability of a diffusive Michaelis-Menten and tanner predator-prey model ⋮ The study of global stability of a diffusive Beddington-Deangelis and tanner predator-prey model ⋮ Bifurcation analysis of a diffusive ratio-dependent predator-prey model ⋮ Global solution and spatial patterns for a ratio-dependent predator-prey model with predator-taxis
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Delay differential equations: with applications in population dynamics
- About deterministic extinction in ratio-dependent predator-prey models
- Global qualitative analysis of a ratio-dependent predator-prey system
- Existence and global stability of positive periodic solutions of a predator-prey system with delays
- Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response.
- Periodic solutions of delayed ratio-dependent predator--prey models with monotonic or nonmonotonic functional responses
- Global dynamics of a ratio-dependent predator-prey system
- Rich dynamics of a ratio-dependent one-prey two-predators model
- Strategy and stationary pattern in a three-species predator--prey model
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- Global analyses in some delayed ratio-dependent predator-prey systems
- On the uniqueness and nonexistence of limit cycles for predator prey systems
- Qualitative analysis of a ratio-dependent predator–prey system with diffusion
- Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response
- Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system