Results 51 to 60 of about 331 (134)
On the notion of L 1‐completeness of a stochastic flow on a manifold
Abstract and Applied Analysis, Volume 7, Issue 12, Page 627-635, 2002., 2002 We introduce the notion of L 1‐completeness for a stochastic flow on manifold and prove a necessary and sufficient condition for a flow to be L 1‐complete. L 1‐completeness means that the flow is complete (i.e., exists on the given time interval) and that it belongs to some sort of L 1‐functional space, natural for manifolds where no Riemannian metric ...
Yu. E. Gliklikh, L. A. Morozova
wiley +1 more source
Advances in Differential Equations, 2013 A stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response is proposed, the existence of a global positive solution and stochastically ultimate boundedness are derived.
Shuang Li, Xinan Zhang
semanticscholar +1 more source
Averaging and stability of quasilinear functional differential equations with Markov parameters
International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 1-15, 1999., 1998 An asymptotic method for stability analysis of quasilinear functional differential equations, with small perturbations dependent on phase coordinates and an ergodic Markov process, is presented. The proposed method is based on an averaging procedure with respect to: 1) time along critical solutions of the linear equation; and 2) the invariant measure ...
Lambros Katafygiotis, Yevgeny Tsarkov
wiley +1 more source
On stochastic solutions of nonlocal random functional integral equations
Arab Journal of Mathematical Sciences, 2019 In this paper, we use Schauder’s fixed point to establish the existence of at least one solution for a functional nonlocal stochastic differential equation under sufficient conditions in the space of all square integrable stochastic processes with a ...
M.M. Elborai, M.I. Youssef
doaj +1 more source
BSDE associated with Lévy processes and application to PDIE
, 2003 International Journal of Stochastic Analysis, Volume 16, Issue 1, Page 1-17, 2003.
K. Bahlali, M. Eddahbi, E. Essaky
wiley +1 more source
Coexistence for a kind of stochastic three-species competitive models
Open Mathematics, 2019 The coexistence of species sustains the ecological balance in nature. This paper focuses on sufficient conditions for the coexistence of a three-species stochastic competitive model, where the model has non-linear diffusion parts.
Huang Nantian +3 more
doaj +1 more source
, 2003 International Journal of Stochastic Analysis, Volume 16, Issue 1, Page 45-67, 2003.
Anatoli V. Skorokhod
wiley +1 more source
Backward stochastic differential equations with oblique reflection and local Lipschitz drift
, 2003 International Journal of Stochastic Analysis, Volume 16, Issue 4, Page 295-309, 2003.
Auguste Aman, Modeste N′Zi
wiley +1 more source
A statistical inference in an epidemic model with combinational drug treatment: HIV as a case study
Results in Applied Mathematics, 2019 Stochastic models are the systems of stochastic differential equations (SDEs) that account the variability in cellular reproduction and death, the infection process, viral reproduction and the immune response against the infection.
Xianbing Cao +2 more
doaj +1 more source
Existence and uniqueness of solution for a fractional hepatitis B model
Computational and Mathematical BiophysicsUnderstanding the dynamics of infectious diseases using mathematical modeling is essential for developing prevention and control measures. Hepatitis B is still a major public health issue in many places, including Kenya, where the high incidence of ...
Aguegboh Nnaemeka Stanley +5 more
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