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

Sunita Gakkhar; Dawit Melese

doi:10.11948/2011032

2011 Volume 1 Issue 4

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Sunita Gakkhar, Dawit Melese. NON-CONSTANT POSITIVE STEADY STATE OF A DIFFUSIVE LESLIE-GOWER TYPE FOOD WEB SYSTEM[J]. Journal of Applied Analysis & Computation, 2011, 1(4): 467-485. doi: 10.11948/2011032

Citation:

Sunita Gakkhar, Dawit Melese. NON-CONSTANT POSITIVE STEADY STATE OF A DIFFUSIVE LESLIE-GOWER TYPE FOOD WEB SYSTEM[J]. Journal of Applied Analysis & Computation, 2011, 1(4): 467-485. doi: 10.11948/2011032

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

Department of Mathematics, Indian Institute of Technology Roorkee(ⅡTR), Roorkee 247667, Uttaranchal, India

Abstract

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.
- Food web /
- Reaction Diffusion Equations /
- Non-constant positive steady state /
- Leslie-Gower
MSC: 35K57;35Q92;92B05

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References

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