Publicación: DYNAMICS OF A FAMILY OF LOTKA-VOLTERRA SYSTEMS IN R-3
Fecha
2020
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Resumen
WE PROVIDE THE PHASE PORTRAITS OF THE 3-DIMENSIONAL LOTKA-VOLTERRA SYSTEMS X=X (Y+AZ), Y=(X+Z), Z=BZ(-AX+Y), FOR ALL THE VALUES OF THE PARAMETERS AND , IN THE FINITE REGION AND IN THE INFINITY REGION THROUGH THE POINCARÉ COMPACTIFICATION. WE ALSO STUDY THE INTEGRABILITY OF THE SYSTEM.
