Name
Title | ||
|---|---|---|
Existence of periodic solutions in a nonautonomous food web with Beddington-DeAngelis functional response. |
Abstract | ||
|---|---|---|
In this paper, we investigate the existence of positive T-periodic solutions in a food web with one predator feeding on n preys by Leray–Schauder degree theory, which plays a significant role on further studying the uniqueness of limit cycles of this food web model. We start with a series of required spaces and operators and construct a bounded open set Ω over which the corresponding Leray–Schauder degree can be well-defined. Afterwards, by the invariance property of homotopy, we verify that the Leray–Schauder degree is not equal to 0 under certain conditions, thus implying the existence of positive T-periodic solutions. Finally, a numerical example is presented to illustrate our result. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.aml.2017.03.018 | Applied Mathematics Letters |
Keywords | Field | DocType |
Nonautonomous food web,Positive periodic solutions,Leray–Schauder degree | Uniqueness,Invariant (physics),Mathematical analysis,Functional response,Operator (computer programming),Homotopy,Periodic graph (geometry),Mathematics,Bounded function,Open set | Journal |
Volume | ISSN | Citations |
71 | 0893-9659 | 2 |
PageRank | References | Authors |
0.55 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xin Jiang | 1 | 7 | 1.62 |
| gang meng | 2 | 4 | 5.39 |
| zhikun she | 3 | 242 | 22.74 |