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Chapter 5: Lotka–Volterra Dynamical Systems

    https://doi.org/10.1142/9781786341044_0005Cited by:6 (Source: Crossref)
    Abstract:

    Lotka–Volterra systems are used to introduce in a simple setting a number of dynamical systems techniques. Concepts such as omega limit sets, simple attractors, Lyapunov functions are explained in the context of Lotka–Volterra systems. We discuss LaSalle’s Invariance Principle. Monotone systems theory is also introduced in the context of the Lotka– Volterra systems.