NON-CONSTANT POSITIVE STEADY STATE OF A DIFFUSIVE LESLIE-GOWER TYPE FOOD WEB SYSTEM | Zendy

Sunita Gakkhar | Zendy; Dawit Melese | Zendy

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NON-CONSTANT POSITIVE STEADY STATE OF A DIFFUSIVE LESLIE-GOWER TYPE FOOD WEB SYSTEM

Author(s) -

Sunita Gakkhar,

Dawit Melese

Publication year - 2011

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2011032

Subject(s) - constant (computer programming) , mathematics , functional response , steady state (chemistry) , predation , predator , homogeneous , food web , type (biology) , biological system , ecology , biology , computer science , chemistry , combinatorics , programming language

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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