A mathematical study on the dynamics of an eco-epidemiological model in the presence of delay (Q2895631)
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: A mathematical study on the dynamics of an eco-epidemiological model in the presence of delay |
scientific article; zbMATH DE number 6052639
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A mathematical study on the dynamics of an eco-epidemiological model in the presence of delay |
scientific article; zbMATH DE number 6052639 |
Statements
4 July 2012
0 references
eco-epidemiological model
0 references
stability
0 references
delay
0 references
direction of Hopf-bifurcation
0 references
A mathematical study on the dynamics of an eco-epidemiological model in the presence of delay (English)
0 references
The authors propose a mathematical model of the prey-predator system with disease in the prey. The basic model is then modified by introducing time delay. The stability of the boundary and endemic equilibria are discussed. The stability and bifurcation analysis of the resulting delay differential equation model is studied and ranges of the delay inducing stability as well as the instability for the system are found. By using the normal form and the center manifold theory, an explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are derived. Numerical simulations to support the analytical conclusions are carried out as well.
0 references
