Dynamical Analysis of a Stochastic Predator-Prey Model with an Allee Effect
We present and analyze a modified Holling type-II predator-prey model that includes some important factors such as Allee effect, density-dependence, and environmental noise. By constructing suitable Lyapunov functions and applying Itô formula, some qualitative properties are given, such as the exist...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/340980 |
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| Summary: | We present and analyze a modified Holling type-II
predator-prey model that includes some important factors such as
Allee effect, density-dependence, and environmental noise. By
constructing suitable Lyapunov functions and applying Itô
formula, some qualitative properties are given, such as the
existence of global positive solutions, stochastic boundedness, and
the global asymptotic stability. A series of numerical simulations
to illustrate these mathematical findings are presented. |
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| ISSN: | 1085-3375 1687-0409 |