Species extinction using geometry of level surfaces
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Publication:4275597
DOI10.1016/0362-546X(93)90080-CzbMath0788.34043WikidataQ114683644 ScholiaQ114683644MaRDI QIDQ4275597
John E. Franke, Abdul-Aziz Yakubu
Publication date: 26 May 1994
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
difference equationsextinctionweak dominancestable coexistenceexclusion principlesdiscretely reproducing populations\(n\) species Kolmogorov type system
Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (7)
Permanence and global attractivity of a discrete multispecies Lotka-Volterra competition pred\-a\-tor-prey systems ⋮ Lumped-density population models of pioneer-climax type and stability analysis of Hopf bifurcations ⋮ Exclusion and dominance in discrete population models via the carrying simplex ⋮ Multiple extinctions in a discrete competitive system ⋮ Stable periodic solution of the discrete periodic Leslie-Gower predator-prey model ⋮ Global stability of discrete population models with time delays and fluctuating environment ⋮ Using stocking or harvesting to reverse period-doubling bifurcations in discrete population models
Cites Work
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- Chaos, noise, and extinction in models of population growth
- Coexistence for systems governed by difference equations of Lotka- Volterra type
- The discrete dynamics of symmetric competition in the plane
- Persistence of species obeying difference equations
- Mutual exclusion versus coexistence for discrete competitive systems
- Geometry of exclusion principles in discrete systems
- Discrete time models for two-species competition
- Exclusion principles for density-dependent discrete pioneer-climax models
- Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
- Global attractors in competitive systems
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