Effect on persistence of intra-specific competition in competition models.

Lobry, Claude; Mazenc, Frederic

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Persistence in ratio-dependent models of consumer-resource dynamics.

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Continuous host-macroparasite models with application to aquaculture.

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Stochastically perturbed allelopathic phytoplankton model.

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Dynamics of systems with Preisach memory near equilibria

Stephen McCarthy, Dmitrii Rachinskii (2014)

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We consider autonomous systems where two scalar differential equations are coupled with the input-output relationship of the Preisach hysteresis operator, which has an infinite-dimensional memory. A prototype system of this type is an LCR electric circuit where the inductive element has a ferromagnetic core with a hysteretic relationship between the magnetic field and the magnetization. Further examples of such systems include lumped hydrological models with two soil layers; they can...