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Volume 1, Number 4, 2011, Pages 467-485                                                                DOI:10.11948/2011032
Non-constant positive steady state of a diffusive Leslie-Gower type food web system
Sunita Gakkhar,Dawit Gebru Melese
Keywords:Food web
Abstract:
      A three species food web comprising of two preys and one predator in an isolated homogeneous habitat is considered. The preys are assumed to grow logistically. The predator follows modified Leslie-Gower dynamics and feeds upon the prey species according to Holling Type II functional response. The local stability of the constant positive steady state of the corresponding temporal system and the spatio-temporal system are discussed. The existence and non-existence of non-constant positive steady states are investigated.
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