HOPF BIFURCATIONS IN PREDATOR-PREY SYSTEMS WITH SOCIAL PREDATOR BEHAVIOR

Authors
PACHECO JM RODRIGUEZ C FERNANDEZ I
Citation
Jm. Pacheco et al., HOPF BIFURCATIONS IN PREDATOR-PREY SYSTEMS WITH SOCIAL PREDATOR BEHAVIOR, Ecological modelling, 105(1), 1997, pp. 83-87
Citations number
4
Journal title
Ecological modelling → ACNP
ISSN journal
03043800
Volume
105
Issue
1
Year of publication
1997
Pages
83 - 87
Database
ISI
SICI code
0304-3800(1997)105:1<83:HBIPSW>2.0.ZU;2-K
Abstract
This paper is devoted to the existence of Hopf bifurcations in predato r-prey systems under the assumption that the predators show social beh aviour. Using the theory of Hopf bifurcation, we prove that the social coefficient appears as an adequate bifurcation parameter. Also, some numerical results are presented in order to discuss the structure of b ifurcating solutions. (C) 1997 Elsevier Science B.V.