Taylor approximation of the solution of age-dependent stochastic delay population equations with Ornstein-Uhlenbeck process and Poisson jumps
DOI10.3934/mbe.2020145zbMath1485.92096OpenAlexW3009252249WikidataQ90792163 ScholiaQ90792163MaRDI QIDQ2050054
Ming Ye, Yan Li, Wenrui Li, Meyer-Baese Anke, Qi-min Zhang
Publication date: 27 August 2021
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2020145
time delayOrnstein-Uhlenbeck processTaylor approximationpopulation equationsage-structured differential equations
Population dynamics (general) (92D25) Diffusion processes (60J60) Jump processes on discrete state spaces (60J74)
Cites Work
- Environmental variability and mean-reverting processes
- Numerical analysis for stochastic age-dependent population equations with Poisson jump and phase semi-Markovian switching
- Taylor approximation of the solutions of stochastic differential delay equations with Poisson jump
- Numerical analysis for stochastic age-dependent population equations with Poisson jumps
- Strong convergence rates for backward Euler on a class of nonlinear jump-diffusion problems
- Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment
- Convergence of the semi-implicit Euler method for stochastic age-dependent population equations with Poisson jumps
- The semi-implicit Euler method for stochastic differential delay equation with jumps
- Convergence of the split-step \(\theta\)-method for stochastic age-dependent population equations with Poisson jumps
- Mean-square stability of stochastic age-dependent delay population systems with jumps
- Construction of positivity-preserving numerical method for stochastic SIVS epidemic model
- Construction of positivity preserving numerical method for stochastic age-dependent population equations
- An analytic approximation of solutions of stochastic differential equations
- Existence, uniqueness and exponential stability for stochastic age-dependent population
- A stochastic differential equation SIS epidemic model incorporating Ornstein-Uhlenbeck process
- Strong convergence of the partially truncated Euler-Maruyama scheme for a stochastic age-structured SIR epidemic model
- Threshold behavior in a stochastic algal growth model with stoichiometric constraints and seasonal variation
- Asymptotic properties of stochastic nutrient-plankton food chain models with nutrient recycling
- Environmental variability in a stochastic epidemic model
- Convergence of numerical solutions to stochastic delay differential equations with jumps
- Asymptotic mean-square boundedness of the numerical solutions of stochastic age-dependent population equations with Poisson jumps
- Convergence of the split-step \(\theta\)-method for stochastic age-dependent population equations with Markovian switching and variable delay
- A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
- Existence and uniqueness, attraction for stochastic age-structured population systems with diffusion and Poisson jump
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Taylor approximation of the solution of age-dependent stochastic delay population equations with Ornstein-Uhlenbeck process and Poisson jumps
