A delayed Gause-type predator᎐prey system without dominating instantaneous negative feedbacks is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of constructing a suitable Lyapunov functional, sufficient conditions are derived for the lo
Stability and Delays in a Predator-Prey System
✍ Scribed by Xue-zhong He
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 164 KB
- Volume
- 198
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper the asymptotic behavior of solutions of a predator᎐prey system is determined. The model incorporates time delays due to gestation and assumes that the prey disperses between two patches of a heterogeneous environment with barriers between patches and that the predator disperses between
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of a delayed ratio-dependent predator-prey system in a periodic environment.
In this paper, we provide a detailed and explicit procedure of obtaining some Ž . regions of attraction for the positive steady state assumed to exist of a well known Lotka᎐Volterra type predator-prey system with a single discrete delay. Our procedure requires the delay length to be small. A detaile
A model for food uptake, energy conversion and allocation is proposed for individuals that propagate by fission. When simple assumptions for the environment and interactions between substrate, prey and predator in a chemostat are made, the conservation laws for energy and biomass determine a structu