Approximate study of multiparameter bifurcations in models of population dynamics

A. A. Vyshinskiy

Sibai Institute (Branch of Bashkir State University), Sibai, Russia

Abstract: The paper presents a new general scheme for qualitative and approximate investigation of basic scenarios of local bifurcations in models of population dynamics. Necessary and sufficient conditions for bifurcation of the equilibrium state and the Andronov–Hoph systems for population dynamics are given.

Keywords: plate deflection, critical forces, bifurcation points, asymptotic formulas, equilibrium state.

UDC: 517.938

Received: 15.10.2011

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