Dynamic behaviors of a discrete periodic predator-prey-mutualist system (Q1723243)
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: Dynamic behaviors of a discrete periodic predator-prey-mutualist system |
scientific article; zbMATH DE number 7025276
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamic behaviors of a discrete periodic predator-prey-mutualist system |
scientific article; zbMATH DE number 7025276 |
Statements
Dynamic behaviors of a discrete periodic predator-prey-mutualist system (English)
0 references
19 February 2019
0 references
Summary: A nonautonomous discrete predator-prey-mutualist system is proposed and studied in this paper. Sufficient conditions which ensure the permanence and existence of a unique globally stable periodic solution are obtained. We also investigate the extinction property of the predator species; our results indicate that if the cooperative effect between the prey and mutualist species is large enough, then the predator species will be driven to extinction due to the lack of enough food. Two examples together with numerical simulations show the feasibility of the main results.
0 references
0 references
0 references
0.9475688
0 references
0.9465134
0 references
0.9465134
0 references
0.9457819
0 references
0.9287886
0 references
0.92751944
0 references
0.9259349
0 references
0.9251664
0 references
