| File | |
| Title |
Uniform global asymptotic stability of time-varying Lotka-Volterra predator-prey systems
|
| Creator |
Zheng Wei
|
| Source Title |
Applied Mathematics Letters
|
| Volume | 87 |
| Start Page | 125 |
| End Page | 133 |
| Journal Identifire |
ISSN 0893-9659
|
| Descriptions |
Other
The model to be dealt in this paper is
N′ = (a + ch(t) − dh(t)N − bP)N, P′ = (− c + dN)P. Here, h is a nonnegative and locally integrable function. This model is a predator-prey system of LotkaVolterra type with variable coefficients and it has a single interior equilibrium (c/d, a/b). Sufficient conditions are given for the interior equilibrium to be uniformly globally asymptotically stable. One of them is described by using a certain uniform divergence condition on h. Our result is p |
| Subjects |
Uniform global asymptotic stability
Lotka-Volterra predator-prey model
Uniform divergence
Growth condition
Time-varying system
|
| Language |
eng
|
| Resource Type | journal article |
| Publisher |
Elsevier
|
| Date of Issued | 2019-01 |
| Publish Type | Accepted Manuscript |
| Access Rights | open access |
| Relation |
