STOCHASTIC VIRUS DYNAMICS WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE | Zendy

Junyi Tu | Zendy; Yuncheng You | Zendy

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STOCHASTIC VIRUS DYNAMICS WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

Author(s) -

Junyi Tu,

Yuncheng You

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1758

Subject(s) - mathematics , stationary distribution , dynamics (music) , white noise , moment (physics) , functional response , mathematical analysis , lyapunov function , distribution (mathematics) , nonlinear system , physics , classical mechanics , statistics , markov chain , quantum mechanics , acoustics , paleontology , predation , biology , predator

Stochastic virus dynamics modeled by a system of stochastic differential equations with Beddington-DeAngelis functional response and driven by white noise is investigated. The global existence of positive solutions and the existence of stationary distribution are proved. Upper and lower bounds of the pathwise and asymptotic moments for the positive solutions are sharply estimated. The absorbing property in time average is shown and the moment Lyapunov exponents are proved to be nonpositive.

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