Discrete waves and phase-locked oscillations in the growth of a single-species population over a patchy environment

DOI10.1007/BF02228940zbMath0898.34064OpenAlexW1964362094MaRDI QIDQ4390956

Jianhong Wu, Wiesław Krawcewicz

Publication date: 2 November 1998

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02228940

zbMATH Keywords

retarded functional-differential equationsmodelsingle-species populationphase-locked oscillationsymmetric Hopf bifurcations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Bifurcation theory of functional-differential equations (34K18)

Related Items (9)

Rich dynamics in a non-local population model over three patches ⋮ The effect of delay and diffusion on spontaneous symmetry breaking in functional differential equations ⋮ Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations ⋮ Nonlinear oscillations in a discrete diffusive neutral logistic equation ⋮ Impact of dispersion on dynamics of a discrete metapopulation model ⋮ Spatially heterogeneous discrete waves in predator-prey communities over a patchy environment ⋮ Impact of Dispersion on Dynamics of a Discrete Metapopulation Model ⋮ Hopf bifurcations of functional-differential equations with dihedral symmetries ⋮ Symmetric functional differential equations and neural networks with memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential-difference equations
• Global stability for infinite-delay, dispersive Lotka-Volterra systems: Weakly interacting populations in nearly identical patches
• Dispersion population models discrete in time and continuous in space
• Global bifurcations of phase-locked oscillators
• Persistence and extinction in models of two-habitat migration
• Persistence and stability of seed-dispersed species in a patchy environment
• Discrete delay, distributed delay and stability switches
• Dynamics of a single species in a spatially varying environment: The stabilizing role of high dispersal rates
• Global stability in diffusive delay Lotka-Volterra systems
• Global bifurcation of periodic solutions with symmetry
• Singularities and groups in bifurcation theory. Volume II
• A global bifurcation theorem with applications to functional differential equations
• Theory of functional differential equations. 2nd ed
• Persistence and stability of single-species and prey-predator systems in spatially heterogeneous environments
• A time-delay model of single-species growth with stage structure
• The dynamical systems approach to differential equations
• Persistence and global asymptotic stability of single species dispersal models with stage structure
• On a two lag differential delay equation
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
• Global Hopf bifurcation from a multiple eigenvalue
• The chemical basis of morphogenesis
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS

This page was built for publication: Discrete waves and phase-locked oscillations in the growth of a single-species population over a patchy environment