Multistability in dynamic models of migration coupled populations with an age structure

Matvey P. Kulakov ; Galina P. Neverova ; Efim Ya. Frisman

Russian journal of nonlinear dynamics, Tome 10 (2014) no. 4, pp. 407-425.

Résumé

This article researches model of two coupled an age structured populations. The model consists of two identical two-dimensional maps demonstrating the Neimark–Sacker and period-doubling bifurcations. The “bistability” of dynamic modes is found which is expressed in a co-existence the nontrivial fixed point and periodic points (stable 3-cycle). The mechanism of loss stability and formation of complex hierarchy for multistable states are investigated.

Détail

Mots-clés : metapopulation
Keywords: multistability, maps, synchronization, basin of attraction.

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