Transition to robust chaotic mode as a result of single bifurcation in the new model of population dynamic

A. Yu. Perevarukha

Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2010), pp. 117-126

Résumé

Article considers arising of chaotic attractor for notunimodal one-dimensional map, which is a model of pupulation dynamics. Chaotic mode, which is not transient behavior spring up without cascade of bifurcation. Change in behaviour of the map appears as a consequence of backward tangent bifurcation. In the biological view effect is interpreted by sudden inclusion of mortality rate for generation on appointed stage. The new model describes the wave-like dependency of the stock and recruitment existed for real fish population.

Détail

Keywords: nonlinear models of population dynamics
Mots-clés : route to chaos.

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