Dynamics of a stochastic predator-prey model with the Beddington-DeAngelis functional response | Zendy

Tạ Việt Tôn | Zendy; Atsushi Yagi | Zendy

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Dynamics of a stochastic predator-prey model with the Beddington-DeAngelis functional response

Author(s) -

Tạ Việt Tôn,

Atsushi Yagi

Publication year - 2011

Publication title -

communications on stochastic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.224

H-Index - 10

eISSN - 2688-6669

pISSN - 0973-9599

DOI - 10.31390/cosa.5.2.08

Subject(s) - functional response , dynamics (music) , predation , predator , stochastic dynamics , biological system , computer science , control theory (sociology) , biology , ecology , statistical physics , artificial intelligence , physics , acoustics , control (management)

We consider a stochastic predator prey model with the Bedington -DeAngelis functional response. Firstly, we prove the existence, uniqueness and positivity of solutions. Then, the boundedness of moments of population are studied. Finally, we show the weak convergence of densities of prey to a singular measure in a special case, and give some upper growth and exponential death rates of population in some cases.

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