Multiple stability and uniqueness of the limit cycle in a Gause-type predatorprey model considering the Allee effect on prey

Nonlinear Analysis: Real World Applications

Volumn 12, Issue 6, 2011, Pages 2931-2942

  González Olivares, Eduardo ^a   Meneses Alcay, Héctor ^a   González Yaez, Betsabé ^a   Mena Lorca, Jaime ^a   Rojas Palma, Alejandro ^a   Ramos Jiliberto, Rodrigo ^b  

^a PONTIFICIA UNIVERSIDAD CATÓLICA DE VALPARAÍSO   (Chile)

^b UNIVERSITY OF CHILE   (Chile)

Author keywords

Allee effect; Bifurcations; Ecological extinction; Heteroclinic curve; Limit cycle; Predatorprey model

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; ECOLOGY;

ALLEE EFFECTS; CHANGING PARAMETER; DIFFERENTIAL EQUATION SYSTEMS; HETEROCLINIC CURVE; LIMIT-CYCLE; POSITIVE EQUILIBRIUM; PREDATOR-PREY MODELING; WEAK ALLEE EFFECTS;

POPULATION DYNAMICS;

EID: 80052031437     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2011.04.003     Document Type: Article

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