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Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets

https://doi.org/10.1137/0513013
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Outgoing claims: the papers this work cites, builds on, or argues with.

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The Mathematics of Time: Essays on Dynamical Systems, Economic Processes, and Related Topics
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On the differential equations of species in competition
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Extension of range of functions
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Abstract $\omega $-limit sets, chain recurrent sets, and basic sets for flows
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Nonlinear Aspects of Competition Between Three Species
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Mathematical Analysis of a Cellular Control Process with Positive Feedback
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Ordinary Differential Equations.
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Stability and Asymptotic Behavior of Differential Equations.

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Competitive Equilibria: Convergence, Cycles or Chaos
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Long-Time Behaviour of an Advection-Selection Equation
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Dynamics, integrability and topology for some classes of Kolmogorov Hamiltonian systems in R + 4
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On the validity of Zeeman's classification for three dimensional competitive differential equations with linearly determined nullclines
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Periodic cycles of social outbursts of activity
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Monotone dynamical systems with dense periodic points
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Dynamics alternatives and generic convergence for C1-smooth strongly monotone discrete dynamical systems
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Generic behavior of flows strongly monotone with respect to high-rank cones
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Asymptotic limits of the principal spectrum point of a nonlocal dispersal cooperative system and application to a two-stage structured population model
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Birkhoff center and statistical behavior of competitive dynamical systems
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Sharpened dynamics alternative and its C1-robustness for strongly monotone discrete dynamical systems
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On comparison systems for ordinary differential equations
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Rapid fluctuations of chaotic maps on RN
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Global stability of Gompertz model of three competing populations
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Dynamics of smooth essentially strongly order-preserving semiflows with application to delay differential equations
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A note on equilibrium uniqueness in new Keynesian models and implications for the fiscal theory of the price level
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A resource dependent protein synthesis model for evaluating synthetic circuits
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Rank of stably dissipative graphs
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Stability switching curves in a Lotka–Volterra competition system with two delays
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A linear model for polyclonal antibody–antigen reactions
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Group defense promotes coexistence in interference competition: The Holling type IV competitive response
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A survey of mathematical models of competition with an inhibitor
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The Ross–Macdonald model in a patchy environment
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Coexistence and bistability of a competition model in open advective environments
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State and parameter estimation for a class of schistosomiasis models
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Global behavior of a two-dimensional competitive system of difference equations with stocking
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Diffraction problems for quasilinear reaction–diffusion systems
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The linear and nonlinear diffusion of the competitive Lotka–Volterra model
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Comparison principle for non-cooperative elliptic systems
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Dynamics of a family of Lotka–Volterra systems in R3
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Self-synchronization of the integrate-and-fire pacemaker model with continuous couplings
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Global stability of delayed genetic regulatory networks with wider hill functions: A mixing monotone semiflows approach
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Stability and dissipativity theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems
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Permanence of a class of delay differential equations with an application to multi-species competition systems
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Quasi-steady state in the Michaelis–Menten system
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The asymptotical behavior of cyclic genetic regulatory networks
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Stability and Hopf bifurcation in a delayed predator–prey system with stage structure for prey
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Coexistence and bistability of a competition model with mixed dispersal strategy
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n-dimensional Lotka–Volterra systems with a Darboux invariant
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Bifurcation and global periodic solutions in a delayed facultative mutualism system
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Slow integral manifolds for Lagrangian fluid dynamics in unsteady geophysical flows
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Data-driven non-Markovian closure models
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Maintenance of diversity in a hierarchical host–parasite model with balancing selection and reinfection
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