๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Exponential stability of numerical solutions to a stochastic age-structured population system with diffusion

โœ Scribed by Qimin Zhang


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
442 KB
Volume
220
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis


The main aim of this paper is to investigate the exponential stability of the Euler method for a stochastic age-structured population system with diffusion. The definition of exponential mean square stability of numerical method is introduced. It is proved that the Euler scheme is exponentially stable in mean square sense. An example is given for illustration.


๐Ÿ“œ SIMILAR VOLUMES


Exponential stability of numerical solut
โœ Qi-min Zhang; Wan-kai Pang; Ping-kei Leung ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 367 KB

Recently, numerical solutions of stochastic differential equations have received a great deal of attention. Numerical approximation schemes are invaluable tools for exploring their properties. In this paper, we introduce a class of stochastic age-dependent (vintage) capital system with Poisson jumps

Convergence of numerical solutions to st
โœ Ronghua Li; Ping-kei Leung; Wan-kai Pang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 638 KB

In this paper, a class of stochastic age-dependent population equations with Markovian switching is considered. The main aim of this paper is to investigate the convergence of the numerical approximation of stochastic age-dependent population equations with Markovian switching. It is proved that the

Global solutions to a class of multi-spe
โœ Zijuan Wen; Shengmao Fu ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 628 KB

In this paper, an n-species strongly coupled cooperating diffusive system is considered in a bounded smooth domain, subject to homogeneous Neumann boundary conditions. Employing the method of energy estimates, we obtain some conditions on the diffusion matrix and inter-specific cooperatives to ensur