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A Kinetic View of Statistical Physics by Pavel L.,Krapivsky

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12 Population dynamics

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The dynamics of interacting populations are usually modeled by coupled nonlinear differential equations. In this chapter, we will outline some of the basic phenomenology of a few classic models of population dynamics. As we shall see, stochasticity can, surprisingly, play an essential role even in the simplest situations. Consequently, we also present statistical physics approaches that yield insights about the phenomena that lie outside a continuum description of the dynamics, such as large fluctuations and the existence ...

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