Dynamics of diffusive modified Previte-Hoffman food web model
From MaRDI portal
Publication:2038822
DOI10.3934/mbe.2020234zbMath1467.92240OpenAlexW3034745416WikidataQ100312549 ScholiaQ100312549MaRDI QIDQ2038822
A. Aldurayhim, A. A. Elsadany, Amr Elsonbaty
Publication date: 7 July 2021
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2020234
Hopf bifurcationTuring instabilitystability of limit cyclemixed functional responsesPrevite-Hoffman food web model
Bifurcation theory for ordinary differential equations (34C23) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)
Related Items
Cites Work
- Unnamed Item
- Pattern formation in reaction-diffusion models with nonuniform domain growth
- Turing instability and pattern formation for the Lengyel-Epstein system with nonlinear diffusion
- Dynamics of food-chain models with density-dependent diffusion and ratio-dependent reaction function
- Existence and bifurcation of stable equilibrium in two-prey, one-predator communities
- Pattern formation, long-term transients, and the Turing-Hopf bifurcation in a space- and time-discrete predator-prey system
- Cross-diffusion induced Turing instability for a three species food chain model
- Unstable wavetrains and chaotic wakes in reaction-diffusion systems of \(\lambda-\omega\) type
- Spatio-temporal pattern formation in coupled models of plankton dynamics and fish school motion
- A minimal model of pattern formation in a prey-predator system
- Mathematical biology. Vol. 1: An introduction.
- Diffusion driven instability and Hopf bifurcation in spatial predator-prey model on a circular domain
- Bifurcation of positive solutions for a three-species food chain model with diffusion
- Complex pattern formation in reaction-diffusion systems with spatially varying parameters
- Turing pattern formation on the sphere for a morphochemical reaction-diffusion model for electrodeposition
- Detection of Turing patterns in a three species food chain model via amplitude equation
- Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
- Bifurcation, chaos, and pattern formation for the discrete predator-prey reaction-diffusion model
- Spatiotemporal complexity of a three-species ratio-dependent food chain model
- Period Doubling Cascades in a Predator-Prey Model with a Scavenger
- Turing Instability and Hopf Bifurcation in a Modified Leslie–Gower Predator–Prey Model with Cross-Diffusion
- Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species