Coexistence for species sharing a predator.

DOI10.1016/S0022-0396(03)00169-4zbMath1054.34079OpenAlexW2099432447MaRDI QIDQ1419822

Sebastian J. Schreiber

Publication date: 26 January 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00169-4

zbMATH Keywords

permanencealmost sure permanenceapparent compititionNonequilibrium coexistence

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45)

Related Items (13)

Non-constant positive steady states of a prey-predator system with cross-diffusions ⋮ Persistence despite perturbations for interacting populations ⋮ An example of chaotic dynamics in 3D systems via stretching along paths ⋮ Persistence in fluctuating environments for interacting structured populations ⋮ The impact of predation on the coexistence and competitive exclusion of pathogens in prey ⋮ An analysis of the coexistence of two host species with a shared pathogen ⋮ Competitive coexistence of seasonal breeders ⋮ Permanence and periodic solution of predator-prey system with holling type functional response and impulses ⋮ The \(P^*\) rule in the stochastic Holt-Lawton model of apparent competition ⋮ Dynamic transcritical bifurcations in a class of slow-fast predator-prey models ⋮ Nonconstant positive steady states for a ratio-dependent predator-prey system with cross-diffusion ⋮ Permanence via invasion graphs: incorporating community assembly into modern coexistence theory ⋮ Strange Periodic Attractors in a Prey-Predator System with Infected Prey

Cites Work

• A theorem on average Liapunov functions
• The stability under perturbations of repulsive sets
• Uniform persistence and chain recurrence
• Some mathematical problems concerning the ecological principle of competitive exclusion
• Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles
• On growth rates of subadditive functions for semiflows
• Shaken not stirred: On permanence in ecological communities
• Criteria for \(C^r\) robust permanence
• Isolated invariant sets in compact metric spaaces
• Cohomology of isolated invariant sets under perturbation
• Uniformly Persistent Systems
• Evolutionary Games and Population Dynamics
• Global Models of Growth and Competition
• Isolated Invariant Sets and Isolating Blocks
• An exact sequence in differential topology
• Persistence in dynamical systems
• Invariant manifolds

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