Dynamical Analysis of a Stochastic Predator-Prey Model with an Allee Effect | Zendy

Feng Rao | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Dynamical Analysis of a Stochastic Predator-Prey Model with an Allee Effect

Author(s) -

Feng Rao

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/340980

Subject(s) - allee effect , mathematics , stability (learning theory) , lyapunov function , environmental noise , predation , functional response , predator , exponential stability , statistical physics , noise (video) , ecology , nonlinear system , computer science , population , biology , physics , demography , quantum mechanics , machine learning , sociology , sound (geography) , image (mathematics) , artificial intelligence , acoustics

We present and analyze a modified Holling type-IIpredator-prey model that includes some important factors such asAllee effect, density-dependence, and environmental noise. Byconstructing suitable Lyapunov functions and applying Itôformula, some qualitative properties are given, such as theexistence of global positive solutions, stochastic boundedness, andthe global asymptotic stability. A series of numerical simulationsto illustrate these mathematical findings are presented

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research