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On the differential equations of species in competition

https://doi.org/10.1007/bf00307854
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Differentiable Dynamical Systems
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The struggle for life: II. Three competitors
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The struggle for life: I. Two species
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Differential Equations, Dynamical Systems, and Linear Algebra
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Differentiable dynamical systems
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STABILITY AND COMPLEXITY IN MODEL ECOSYSTEMS
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Nonlinear Aspects of Competition Between Three Species
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Stability and Complexity in Model Ecosystems

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Feedback classification and optimal control with applications to the controlled Lotka–Volterra model
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Rational systems in the planeEdited by Gerry LadasIn this section, we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas: gladas@math.uri.edu
inferred← citeshttps://doi.org/10.1080/10236190903357535openalex-snapshot
Analogues of the Smale and Hirsch theorems for cooperative Boolean and other discrete systems
inferred← citeshttps://doi.org/10.1080/10236198.2017.1388375openalex-snapshot
Global stability of higher dimensional monotone maps
inferred← citeshttps://doi.org/10.1080/10236199708808108openalex-snapshot
Planar competitive and cooperative difference equations
inferred← citeshttps://doi.org/10.1080/14689367.2022.2162371openalex-snapshot
Two-dimensional heteroclinic connections in the generalized Lotka–Volterra system
inferred← citeshttps://doi.org/10.1080/17513758.2020.1736656openalex-snapshot
Balance simplices of 3-species May-Leonard systems
inferred← citeshttps://doi.org/10.1086/283235openalex-snapshot
Competitive Exclusion and Nonequilibrium Coexistence
inferred← citeshttps://doi.org/10.1086/283632openalex-snapshot
Models of Some Ant-Plant Mutualisms
inferred← citeshttps://doi.org/10.1086/319929openalex-snapshot
Fundamental Unpredictability in Multispecies Competition
inferred← citeshttps://doi.org/10.1086/378750openalex-snapshot
Fundamental Predictability in Multispecies Competition: The Influence of Large Disturbance
inferred← citeshttps://doi.org/10.1086/682901openalex-snapshot
Diversity Increases Indirect Interactions, Attenuates the Intensity of Competition, and Promotes Coexistence
inferred← citeshttps://doi.org/10.1086/686901openalex-snapshot
The Effect of Intra- and Interspecific Competition on Coexistence in Multispecies Communities
inferred← citeshttps://doi.org/10.1086/psaprocbienmeetp.1992.2.192851openalex-snapshot
Chaos and the Explanatory Significance of Equilibrium: Strange Attractors in Evolutionary Game Dynamics
inferred← citeshttps://doi.org/10.1088/0266-5611/28/7/075007openalex-snapshot
The inverse problem of determining several coefficients in a nonlinear Lotka–Volterra system
inferred← citeshttps://doi.org/10.1088/0951-7715/1/1/003openalex-snapshot
Systems of differential equations which are competitive or cooperative: III. Competing species
inferred← citeshttps://doi.org/10.1088/0951-7715/16/3/301openalex-snapshot
The dynamical behaviour of type-K competitive Kolmogorov systems and its application to three-dimensional type-K competitive Lotka Volterra systems
inferred← citeshttps://doi.org/10.1088/0951-7715/19/10/006openalex-snapshot
Chaos in low-dimensional Lotka–Volterra models of competition
inferred← citeshttps://doi.org/10.1088/0951-7715/26/8/2299openalex-snapshot
On chaos in Lotka–Volterra systems: an analytical approach
inferred← citeshttps://doi.org/10.1088/1751-8121/ad996eopenalex-snapshot
Integrability of generalised skew-symmetric replicator equations via graph embeddings
inferred← citeshttps://doi.org/10.1090/fic/036/16openalex-snapshot
Competition for essential resources: A brief review
inferred← citeshttps://doi.org/10.1090/memo/0647openalex-snapshot
Almost automorphic and almost periodic dynamics in skew-product semiflows
inferred← citeshttps://doi.org/10.1090/s0002-9939-08-09346-5openalex-snapshot
On a Smale theorem and nonhomogeneous equilibria in cooperative systems
inferred← citeshttps://doi.org/10.1090/s0002-9939-09-09912-2openalex-snapshot
On the global attractivity of monotone random dynamical systems
inferred← citeshttps://doi.org/10.1090/s0002-9939-2014-11923-xopenalex-snapshot
Limit cycles bifurcating from a non-isolated zero-Hopf equilibrium of three-dimensional differential systems
inferred← citeshttps://doi.org/10.1090/s0002-9947-2011-05488-7openalex-snapshot
Dynamics of strongly competing systems with many species
inferred← citeshttps://doi.org/10.1090/s0033-569x-06-01016-0openalex-snapshot
Competitive systems with migration and the Poincaré-Bendixson theorem for a 4-dimensional case
inferred← citeshttps://doi.org/10.1090/s0273-0979-1984-15236-4openalex-snapshot
The dynamical systems approach to differential equations
inferred← citeshttps://doi.org/10.1093/femsec/fiz114openalex-snapshot
Primed to be strong, primed to be fast: modeling benefits of microbial stress responses
inferred← citeshttps://doi.org/10.1098/rsif.2024.0877openalex-snapshot
Cumulative dose responses for adapting biological systems
inferred← citeshttps://doi.org/10.1098/rsos.192181openalex-snapshot
Effects of niche overlap on coexistence, fixation and invasion in a population of two interacting species
inferred← citeshttps://doi.org/10.1101/2021.10.27.466177openalex-snapshot
No robust coexistence in a canonical model of plant-soil feedbacks
inferred← citeshttps://doi.org/10.1101/2022.07.29.502084openalex-snapshot
Eco-evolutionary feedback can stabilize diverse predator-prey communities
inferred← citeshttps://doi.org/10.1101/2022.11.11.516177openalex-snapshot
Multi-group biodiversity theory and an application to multi-species maximum sustainable yield
inferred← citeshttps://doi.org/10.1101/2023.08.20.554000openalex-snapshot
Response diversity is key to buffer ecosystem productivity against multiple environmental change drivers
inferred← citeshttps://doi.org/10.1101/2024.11.22.624851openalex-snapshot
Cumulative dose responses for adapting biological systems
inferred← citeshttps://doi.org/10.1101/2025.08.21.671550openalex-snapshot
Axiomatic Community Ecology, Topology, and Dynamic Distance
inferred← citeshttps://doi.org/10.1103/physreve.104.024133openalex-snapshot
Stochastic resonance of abundance fluctuations and mean time to extinction in an ecological community
inferred← citeshttps://doi.org/10.1103/physreve.110.064320openalex-snapshot
Bifurcations and multistability in empirical mutualistic networks
inferred← citeshttps://doi.org/10.1103/physreve.82.066202openalex-snapshot
From incoherence to synchronicity in the network Kuramoto model
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