Advances in Differential Equations

A symbiotic self-cross diffusion model

Marcelo Montenegro and Antonio Suárez

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Abstract

In this work, we show existence and non-existence results of coexistence states for a Lotka-Volterra symbiotic model with self and cross-diffusion in one species. We study the behavior of the set of positive solutions when the cross-diffusion or the self-diffusion parameter is large.

Article information

Source
Adv. Differential Equations Volume 19, Number 9/10 (2014), 833-856.

Dates
First available in Project Euclid: 1 July 2014

Permanent link to this document
https://projecteuclid.org/euclid.ade/1404230125

Mathematical Reviews number (MathSciNet)
MR3261917

Zentralblatt MATH identifier
1304.35273

Subjects
Primary: 35J57: Boundary value problems for second-order elliptic systems 35A01: Existence problems: global existence, local existence, non-existence 35B32: Bifurcation [See also 37Gxx, 37K50] 35B44: Blow-up 335J62 92D25: Population dynamics (general)

Citation

Montenegro, Marcelo; Suárez, Antonio. A symbiotic self-cross diffusion model. Adv. Differential Equations 19 (2014), no. 9/10, 833--856. https://projecteuclid.org/euclid.ade/1404230125.


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