Name
Title | ||
|---|---|---|
Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches |
Abstract | ||
|---|---|---|
In this work, we propose a delayed predator-prey model with impulsively diffusive prey between two patches. Using the stroboscopic map of the discrete dynamical system, we obtain the globally attractive condition of predator-extinction periodic solution of the system. We also obtain the permanent condition of the system by the theory of impulsive delay differential equation. Our results indicate that the discrete time delay has influence to the dynamical behaviors of the system. Finally, the numerical analysis is inserted to illustrate the results. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.matcom.2009.07.008 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
delayed predator-prey model,extinction,discrete dynamical system,impulsive delay differential equation,impulsive diffusion,numerical analysis,dynamical analysis,discrete time delay,predator–prey model,permanent,attractive condition,predator-extinction periodic solution,impulsively diffusive prey,permanent condition,dynamical behavior,dynamic analysis | Mathematical optimization,Discrete dynamical system,Mathematical analysis,Discrete time and continuous time,Numerical analysis,Delay differential equation,Periodic graph (geometry),Mathematics | Journal |
Volume | Issue | ISSN |
80 | 3 | Mathematics and Computers in Simulation |
Citations | PageRank | References |
7 | 1.02 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jianjun Jiao | 1 | 83 | 15.85 |
| Xiaosong Yang | 2 | 378 | 52.10 |
| Shaohong Cai | 3 | 29 | 5.68 |
| Lansun Chen | 4 | 315 | 74.90 |