Articolul precedent |
Articolul urmator |
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SM ISO690:2012 STERPU, Mihaela, EFREM, Raluca, ROCSOREANU, Carmen. Stability and bifurcations in a model from ecology. In: Conference on Applied and Industrial Mathematics: CAIM 2022, Ed. 30, 14-17 septembrie 2023, Chişinău. Iași, România: 2023, Ediţia 30, p. 29. |
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Conference on Applied and Industrial Mathematics Ediţia 30, 2023 |
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Conferința "Conference on Applied and Industrial Mathematics" 30, Chişinău, Moldova, 14-17 septembrie 2023 | ||||||
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Pag. 29-29 | ||||||
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A 4D model for a closed ecosystem with four compartments is derived. The model is reduced to a 3D dynamical system, described by a system of three nonlinear ordinary differential equations, depending on seven positive parameters. The local dynamics and bifurcations of this model are investigated. The system possesses at most three equilibrium points. It is found that at most one of the equilibria is locally asymptotically stable for each parameter strata. Several codimension one bifurcations are determined and analyzed. Various attractors and transitions scenarios are emphasized numerically. |
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