Projects per year
Abstract
In this paper, we introduce white noise, telegraph noise and time delay to the two-dimensional foraging arena population system describing the prey and predator abundance. The aim is to find out how the interactions between white noise, telegraph noise and time delay affect the dynamics of the population system. Firstly, the existence of a global positive solution is verified. Then the long-time properties including the stochastically ultimate boundedness, extinction and some other asymptotic pathwise estimation of this population system are studied. Finally, the main results are illustrated by two examples.
| Original language | English |
|---|---|
| Journal | Stochastic Analysis and Applications |
| Early online date | 27 Nov 2019 |
| DOIs | |
| Publication status | E-pub ahead of print - 27 Nov 2019 |
Keywords
- stochastic predator-prey model
- Brownian motion
- Markov chain
- time delay
- ultimate boundedness
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Dive into the research topics of 'Stochastic delay foraging arena predator-prey system with Markov switching'. Together they form a unique fingerprint.Projects
- 2 Finished
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Ergodicity and invariant measures of stochastic delay systems driven by various noises and their applications (Prof. Fuke Wu)
Mao, X. (Principal Investigator)
16/03/17 → 15/06/20
Project: Research Fellowship
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Long-time dynamics of numerical solutions of stochastic differential equations
Mao, X. (Principal Investigator)
1/10/16 → 30/09/21
Project: Research