Dynamics of a stochastic modified Leslie–Gower predator–prey system with hunting cooperation
In this paper, we consider a stochastic two-species predator–prey system with modified Leslie–Gower. Meanwhile, we assume that hunting cooperation occurs in the predators.
Chao Li, Peilin Shi
doaj +1 more source
From random Poincare ́ maps to stochastic mixed-mode-oscillation patterns
We quantify the effect of Gaussian white noise on fast–slow dynamical systems with one fast and two slow variables, which display mixed-mode oscillations owing to the presence of a folded-node singularity.
Berglund, Nils +5 more
core +1 more source
A two diffusion stochastic model for the spread of the new corona virus SARS-CoV-2. [PDF]
Đorđević J, Papić I, Šuvak N.
europepmc +1 more source
Identifiability of SDEs for reaction networks
Biochemical reaction networks (RNs) are widely applied across scientific disciplines to model complex dynamic systems. We investigate the diffusion approximation of RNs with mass-action kinetics, focusing on the identifiability of the stochastic ...
Louis Faul, Linard Hoessly, Panqiu Xia
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On Gibbsianness of infinite-dimensional diffusions
The authors analyse different Gibbsian properties of interactive Brownian diffusions X indexed by the d-dimensional lattice. In the first part of the paper, these processes are characterized as Gibbs states on path spaces. In the second part of the paper,
Dereudre, David (Prof. Dr.) +1 more
core
The influence of quadratic Lévy noise on the dynamic of an SIC contagious illness model: New framework, critical comparison and an application to COVID-19 (SARS-CoV-2) case. [PDF]
Sabbar Y +3 more
europepmc +1 more source
In this article, we explore the existence and uniqueness of mild solutions to fractional stochastic differential equations involving the ABC derivative with the Lipschitz coefficients.
Maheswari Rangasamy +6 more
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Optimal asset allocation for aggregated defined benefit pension funds with stochastic interest rates [PDF]
In this paper we study the optimal management of an aggregated pension fund of defined benefit type, in the presence of a stochastic interest rate. We suppose that the sponsor can invest in a savings account, in a risky stock and in a bond, with the aim ...
Ricardo Josa-Fombedilla +1 more
core
Robust option replication for a Black-Scholes model extended with nondeterministic trends
Statistical analysis on various stocks reveals long range dependence behavior of the stock prices that is not consistent with the classical Black and Scholes model.
Schoenmakers, John G. M. +1 more
core +1 more source
Modeling noisy time-series data of crime with stochastic differential equations. [PDF]
Calatayud J, Jornet M, Mateu J.
europepmc +1 more source

