## International Journal of Differential Equations

### Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil

#### Abstract

We study a nonlinear parabolic system governing the biological dynamic in the soil. We prove global existence (in time) and uniqueness of weak and positive solution for this reaction-diffusion semilinear system in a bounded domain, completed with homogeneous Neumann boundary conditions and positive initial conditions.

#### Article information

Source
Int. J. Differ. Equ., Volume 2011 (2011), Article ID 831436, 24 pages.

Dates
Accepted: 27 June 2011
First available in Project Euclid: 25 January 2017

https://projecteuclid.org/euclid.ijde/1485313226

Digital Object Identifier
doi:10.1155/2011/831436

Mathematical Reviews number (MathSciNet)
MR2824911

Zentralblatt MATH identifier
1235.35153

#### Citation

Goudjo, Côme; Lèye, Babacar; Sy, Mamadou. Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil. Int. J. Differ. Equ. 2011 (2011), Article ID 831436, 24 pages. doi:10.1155/2011/831436. https://projecteuclid.org/euclid.ijde/1485313226

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