Parameter domains for instability of uniform states in systems with many delays

DOI10.1007/s002850050080zbMath0878.92001OpenAlexW2026793810MaRDI QIDQ1365086

Stephen A. Gourley, Michele V. Bartuccelli

Publication date: 28 August 1997

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002850050080

zbMATH Keywords

time delaydistributed delaysspatial patterndevelopmental biologyLotka-Volterra competition delayed modelparameter domains

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) General biology and biomathematics (92B05) Computational methods for problems pertaining to biology (92-08)

Related Items (15)

Global asymptotic behaviour in some functional parabolic equations ⋮ A non-local PDE model for population dynamics with state-selective delay: local theory and global attractors ⋮ Modelling a single-species closed habitat fishery with spatial heterogeneity and time delay ⋮ Global dynamics and complex patterns in Lotka-Volterra systems: the effects of both local and nonlocal intraspecific and interspecific competitions ⋮ Spatio-temporal delays in a nutrient-plankton model on a finite domain: Linear stability and bifurcations ⋮ Memory-based movement with spatiotemporal distributed delays in diffusion and reaction ⋮ Global Hopf bifurcation on two-delays Leslie-Gower predator-prey system with a prey refuge ⋮ Instability in diffusive ecolocical models with nonlocal delay effects ⋮ BIOLOGICAL DELAY SYSTEMS AND THE MIKHAILOV CRITERION OF STABILITY ⋮ The stability of a diffusion model of plankton allelopathy with spatio-temporal delays ⋮ The stability and bifurcation of homogeneous diffusive predator-prey systems with spatio-temporal delays ⋮ Numerical bifurcation analysis of delay differential equations ⋮ Persistence and extinction in two species reaction-diffusion systems with delays ⋮ Hopf bifurcation and stability of a competition diffusion system with distributed delay ⋮ Dynamics of a Diffusive Nutrient-Phytoplankton-Zooplankton Model with Spatio-temporal Delay

This page was built for publication: Parameter domains for instability of uniform states in systems with many delays