Spatiotemporal pattern formation in a diffusive predator-prey system: An analytical approach
From MaRDI portal
Publication:1034981
DOI10.1007/s12190-008-0221-6zbMath1181.35022OpenAlexW2018610410WikidataQ115601724 ScholiaQ115601724MaRDI QIDQ1034981
Balram Dubey, Nitu Kumari, Ranjit Kumar Upadhyay
Publication date: 9 November 2009
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-008-0221-6
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) Pattern formations in context of PDEs (35B36)
Related Items (18)
Nonlinear dynamics of a marine phytoplankton-zooplankton system ⋮ Mathematical analysis of toxin-phytoplankton-fish model with self-diffusion and cross-diffusion ⋮ Minimal model of plankton systems revisited with spatial diffusion and maturation delay ⋮ Pattern formation in a cross-diffusive ratio-dependent predator-prey model ⋮ Positive solutions and pattern formation in a diffusive tritrophic system with Crowley-Martin functional response ⋮ Pattern formation in a cross-diffusive Holling-Tanner model ⋮ Spatial deployment and performance of diffusion coefficients of two preys and one predator ecological system ⋮ Cross-diffusion-driven instability in a reaction-diffusion Harrison predator-prey model ⋮ Nonlinear dynamics of a toxin-phytoplankton-zooplankton system with self- and cross-diffusion ⋮ Turing Patterns in a Cross Diffusive System ⋮ Spatiotemporal dynamics in a reaction–diffusion toxic-phytoplankton–zooplankton model ⋮ Hopf bifurcation and spatial patterns of a delayed biological economic system with diffusion ⋮ DIFFUSION-DRIVEN INSTABILITIES AND SPATIO-TEMPORAL PATTERNS IN AN AQUATIC PREDATOR–PREY SYSTEM WITH BEDDINGTON–DEANGELIS TYPE FUNCTIONAL RESPONSE ⋮ Complex patterns in a predator-prey model with self and cross-diffusion ⋮ Hopf bifurcation and harvesting control of a bioeconomic plankton model with delay and diffusion terms ⋮ Persistence, Turing Instability and Hopf Bifurcation in a Diffusive Plankton System with Delay and Quadratic Closure ⋮ Effects of non-local competition on plankton–fish dynamics ⋮ Dynamics of pattern formation process in fractional-order super-diffusive processes: a computational approach
Cites Work
- Unnamed Item
- Unnamed Item
- Wave of chaos in a diffusive system: generating realistic patterns of patchiness in plankton-fish dynamics
- A diffusive predator-prey model with a protection zone
- Non-constant positive steady-states of a diffusive predator--prey system in homogeneous environment
- Almost periodic models in impulsive ecological systems with variable diffusion
- Qualitative analysis for a diffusive predator-prey model
- Global stability and persistence of simple food chains
- Modelling the interaction of two biological species in a polluted environment
- Traveling waves in a diffusive predator-prey model with Holling type-III functional response
- A qualitative study on general Gause-type predator-prey models with constant diffusion rates
- Periodic solutions of delayed predator-prey model with the Beddington-DeAngelis functional response
- Wave of Chaos and Pattern Formation in Spatial Predator-Prey Systems with Holling Type IV Predator Response
- Spatiotemporal Complexity of Plankton and Fish Dynamics
- The chemical basis of morphogenesis
This page was built for publication: Spatiotemporal pattern formation in a diffusive predator-prey system: An analytical approach