A predator-prey model with combined death and competition terms.

Title:

A predator-prey model with combined death and competition terms.

Creator:

Kang, Joon Hyuk and Lee, Jungho

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:9f6c63e4-d6d4-4f4c-8f17-0dcc992e7b35
uuid:9f6c63e4-d6d4-4f4c-8f17-0dcc992e7b35

Subject:

predator-prey model and coexistence state

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The existence of a positive solution for the generalized predator-prey model for two species $$ \begin{gathered} \Delta u + u(a + g(u,v)) = 0\quad \mbox {in}\ \Omega ,\\ \Delta v + v(d + h(u,v)) = 0\quad \mbox {in} \ \Omega ,\\ u = v = 0\quad \mbox {on}\ \partial \Omega , \end{gathered} $$ are investigated. The techniques used in the paper are the elliptic theory, upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties of the solution of logistic equations.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

283-295

Source:

Czechoslovak Mathematical Journal | 2010 Volume:60 | Number:1

Harvested from:

CDK

Metadata only:

false