Positive solutions for a general Gause-type predator-prey model with monotonic functional response (Q638130)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Positive solutions for a general Gause-type predator-prey model with monotonic functional response |
scientific article; zbMATH DE number 5946514
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions for a general Gause-type predator-prey model with monotonic functional response |
scientific article; zbMATH DE number 5946514 |
Statements
Positive solutions for a general Gause-type predator-prey model with monotonic functional response (English)
0 references
9 September 2011
0 references
Summary: We study a general Gause-type predator-prey model with monotonic functional response under Dirichlet boundary conditions. Necessary and sufficient conditions for the existence and nonexistence of positive solutions for this system are obtained by means of the fixed point index theory. In addition, the local and global bifurcations from a semitrivial state are also investigated on the basis of bifurcation theory. The results indicate that diffusion and functional response helps to create stationary patterns.
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
