STOCHASTIC VIRUS DYNAMICS WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

Junyi Tu; Yuncheng You

doi:10.11948/2018.1758

2018 Volume 8 Issue 6

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Junyi Tu, Yuncheng You. STOCHASTIC VIRUS DYNAMICS WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE[J]. Journal of Applied Analysis & Computation, 2018, 8(6): 1758-1777. doi: 10.11948/2018.1758

Citation:

Junyi Tu, Yuncheng You. STOCHASTIC VIRUS DYNAMICS WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE[J]. Journal of Applied Analysis & Computation, 2018, 8(6): 1758-1777. doi: 10.11948/2018.1758

STOCHASTIC VIRUS DYNAMICS WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

Junyi Tu²,
Yuncheng You¹

1 Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA;
2 Department of Computer Science and Engineering, University of South Florida, Tampa, FL 33620, USA

Abstract

Abstract

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.
- Stochastic virus dynamics /
- Beddington-DeAngelis functional response /
- stationary distribution /
- dynamic estimation /
- moment Lyapunov exponent
MSC: 34K15;34K20;92A15

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References

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